Publications of G. Jogesh Babu
MR denotes Mathematical Reviews, and Zbl
denotes Zentralblatt MATH
Books:
- Babu, G. Jogesh.
Probabilistic methods in the theory of arithmetic functions.
Macmillan Lectures in Mathematics, 2. Macmillan Co. of India
Ltd., New Delhi, 1978.
ISBN: 0-33390-274-2.
(Math Review by J. Kubilius).
[Chapter 1,
Chapters 2-4,
Chapters 5-6,
Chapters 7-8,
Chapters 9-10]
- Feigelson, E. D.; Babu, G. J. Statistical
Challenges in Modern Astronomy, Springer-Verlag, New York,1992.
(Technometrics 36
(1994) Review by Kevin J. Coakley).
- Babu, G. J.; Feigelson, E. D. Statistical
Challenges in Modern Astronomy II, Springer-Verlag, New York, 1997. (JASA 93 (1998)
Review by Paul I. Nelson).
- Babu, G. J.; Feigelson, E. D. Astrostatistics,
Chapman and Hall, London, 1996. Reprinted 1997. (Sankhya A 59 (1997)
Review by Arup Bose, Technometrics 40 (1998)
Review by Anita Singh).
- Feigelson, E. D.; Babu, G. J. Statistical
Challenges in Astronomy, Springer-Verlag, New York, 2003.
-
Babu, G. J.; Feigelson, E. D.
Statistical
Challenges in Modern Astronomy IV, Astronomical Society of the Pacific, San Fransisco, California,
Vol 371, 2007.
-
Feigelson, E. D.; Babu, G. J.
Modern Statistical
Methods for Astronomy with R applications, Cambridge University Press,
Cambridge. In Press.
Research Publications:
- Lee, H., Babu, G. J., and Rao, C. R.
A jackknife type approach to statistical
model selection. Journal of Statistical Planning and Inference, 142,
Number 1
(2012) 301-311.
[Article, PDF].
- Babu, G. J.
Resampling methods for model fitting and model selection.
Invited paper for special issue on Bootstrap.
Journal of Biopharmaceutical Statistics, 21, issue 6 (2011) 1177-1186.
[Article, PDF].
- Feigelson, E. D., and Babu, G. J. Statistical Methods for Astronomy. To
appear in Planets, Stars and Stellar Systems, Edited by Terry Oswalt. Springer, New York,
NY.
- Babu, G. J., Bai, Z.D., Choi, K.-P., Mangalam, V.
Limit theorems for functions of marginal quantiles. Bernoulli, 17, Number 2
(2011) 671-686. [Article,
PDF].
- Martínez-Gómez, E., and Babu, G. J. A Relation Between the Exoplanets and Their
Host Stars Based on Multivariate Analysis. In the Proceedings of the 2010 Joint statistical
meetings, Section on Physical and Engineering Sciences,
Alexandria, VA: American Statistical Association. (2010) 2387-2400.
[PDF]
- Loredo, T. J., Babu, G. J., Borne, K.D., Feigelson, E. D., and Gray, A.
The Spectrum of LSST Data Analysis Challenges; Kiloscale to Petascale.
Poster at 215th AAS meeting in 3-7 January 2010 in Washington, D.C.
(2010). Presentation Number 401.24.
- Babu, G. J., Chattopadhyay, T., Chattopadhyay, A., and Mondal. S. Horizontal
branch morphology of globular clusters: A multivariate statistical analysis.
The Astrophysical Journal, 700 (2009) 1768-1778.
[Article,
PDF]
- Babu, G. J. Marginal quantiles: Asymptotics for functions of order statistics.
In Perspectives in Mathematical Sciences I: Probability and Statistics.
Statistical Science and Interdisciplinary Research, Vol. 7 (2009) 31-39.
World Scientific Book.
[PDF].
- Martínez-Gómez, E., and Babu, G. J. A statistical model for the relation
between exoplanets and their host stars. In the Proceedings of the 24th International
Workshop on Statistical Modelling, Cornell University, Ed. James G. Booth (Ed), (2009) 237-242.
[PDF, arxiv],
arxiv PDF]
- Babu, G. J., Mahabal, A., Williams, R., and Djorgovski, S. G. Object
detection in multi-epoch data.
Statistical Methodology, 5 (2008) issue 4, 299-306.
[Article,
PDF]
- Babu, G. J. Edgeworth Expansions: A Brief Review of Zhidong Bai's Contributions.
In Advances in Statistics, Zehua Chen, Jin-Ting Zhang, and Feifang Hu (eds.), (2008) 16-18.
[PDF]
- Babu, G. J.; Padmanabhan, A. R. Re-sampling methods
for testing for location against unrestricted and ordered alternatives.
Journal of Statistical Planning and Inference, 137 (2007)
issue 11, 3261-3267. [Article, PDF]
- Babu, G. J., Manstavicius, E., and Zacharovas, V. Limiting
processes with dependent increments for measures on symmetric group of
permutations. Advanced Studies in Pure Mathematics, 49 (2007) 41-67. (MR 2009h:60022).
[PDF]
- McDermott, James P., Babu, G. J., Liechty, John C., and
Lin, Dennis K. J. Data Skeletons: Simultaneous Estimation of Multiple
Quantiles for Massive Streaming Datasets with Applications to Density
Estimation. Statistics and Computing, 17 (2007) issue 4, 311-321. [Article, PDF]
- Babu, G. J., and Mahabal, A. Using R-based VOStat as a Low-Resolution
Spectrum Analysis Tool. Journal of Statistical Software, 18
(2007) issue 11, 1-12. [Article,
PDF]
- Babu, G. J. Probabilistic Number Theory and Random
Permutations: Functional Limit Theory. In The Riemann Zeta function and related themes,
R. Balasubramanian and K. Srinivas (eds.).
Ramanujam Mathematical Society-Lecture Notes Series in Mathematics, No. 2 (2006) 19-27.
(MR 2008g:60019 by Radhakrishnan Nair).
[PDF]
- Babu, G. Jogesh, and Chaubey, Yogendra P. Smooth estimation
of a distribution and density function on hypercube using Bernstein
polynomials for dependent random vectors. Statistics and
Probability Letters, 76 (2006) no. 9, 959-969. (MR 2008h:62078 by Atanu Biswas). [Article, PDF]
- Babu, G. Jogesh and Feigelson, Eric D.
Astrostatistics: Goodness-of-Fit and All That! In Astronomical Data Analysis Software and
Systems XV, ASP Conference Series, C. Gabriel, C. Arviset, D.
Ponz and E. Solano, (eds.), 351 (2006)
127-136. [Article,
PDF]
- Matthew J. Graham, S. G. Djorgovski, A. Mahabal, Roy
Williams, G. Jogesh Babu, Eric D. Feigelson, Daniel E. Vanden Berk,
Robert Nichol, and Larry Wasserman. VOStat: a distributed
statistical toolkit for the Virtual Observatory. In Astronomical
Data Analysis Software and Systems XIV, ASP Conference Series, P.
L. Shopbell, M. C. Britton, and R. Ebert (eds.), 347 (2005)
394-398. [Article,
PDF]
- Joseph C. Jacob, Roy Williams, Jogesh Babu, S. George
Djorgovski, Matthew J. Graham, Daniel S. Katz, Ashish Mahabal, Craig D.
Miller, Robert Nichol, Daniel E. Vanden Berk, Harshpreet Walia.
Grist: Grid-based Data Mining for Astronomy. In Astronomical Data
Analysis Software and Systems XIV, ASP Conference Series, P. L.
Shopbell, M. C. Britton, and R. Ebert (eds.), 347 (2005)
306-310. [Article,
PDF]
- Babu, G. Jogesh.; Djorgovski, S. George. Some
statistical and computational challenges, and opportunities in
astronomy. Statistical Science, 19 (2004) no. 2,
322-332. [PDF]
- Feigelson, E. D.; Babu, G. J. Statistical Challenges in
Modern Astronomy. PhyStat2003: Statistical problems in
Particle Physics, Astrophysics, and Cosmology. (2004) 1-7. L.
Lyons, R. Mount, R. Reitmeyer (Eds.), Stanford Linear Accelerator
Center, Stanford, CA. [PDF]
- Babu, G. J.; Rao, C. R. Goodness-of-fit tests when
parameters are estimated. Sankhya, Series A, 66
(2004) no. 1, 63-74. (MR 2005c:62053). [PDF]
- Babu, G. J. A note on the bootstrapped empirical
process. J. Statist. Plann. Inference, 126
(2004) no. 2, 587-589. (MR 2006a:62045 by Arnold
Janssen). [Article,
PDF]
- Babu, G. J., Boyarsky, A., Chaubey, Y. P. and Gora, P. New
statistical method for filtering and entropy estimation of a chaotic
map from noisy data. International Journal of Bifurcation
and Chaos, 14 (2004) no. 11, 3989-3994. (MR 2005j:37136 by Ricardo
Gómez). [PDF]
- Babu, Gutti Jogesh; Rao, M. Bhaskara.
Occurrence/exposure rate. In Encyclopedia of Actuarial
Science (EoAS), Vol 3 (2004) 1199-1201. Eds. Bjoern Sundt
and Jef Teugels, Wiley, Chichester. [PDF]
- Babu, Gutti Jogesh. Model fitting in the presence of
nuisance parameters. In Astronomical Data Analysis-III (2004).
Fionn D. Murtagh (Ed.). Electronic Workshops in Computing (EWiW).
[Article,
PDF]
- Mahabal, A.; Djorgovski, S. G.; Graham, M.; Williams, R.;
Feigelson, E.; Babu, G. J.; Nichol, R.; Vanden Berk, D.; Wasserman,
L. Doing Science with VOStat. Bulletin of the American
Astronomical Society, 36 (2004) 806.
- Babu, G. J.; Rao, C. R. Confidence limits to the
distance of the true distribution from a misspecified family by
bootstrap. J. Statist. Plann. Inference 115
(2003) no. 2, 471-478. (MR 2004c:62072 by Paul I.
Nelson).
[Article,
PDF]
- Scargle, J. D.; Babu, Gutti Jogesh. Point processes
in astronomy: Exciting events in the universe. Stochastic
Processes: Modeling and Simulation, C. R. Rao and D. N.
Shanbhag (Eds.), Handbook of Statist. 21,
North-Holland, Amsterdam (2003) 795-825.
[PDF]
- Babu, G. J.; Singh, K.; Yang, Y. Edgeworth expansions
for compound poisson processes and the bootstrap. The Ann.
Inst. Statist. Math. 55 (2003) no. 1, 83-94. (MR
2004b:62084 by
Manfred Kraft). [PDF]
- Babu, G. J.; McDermott, J. P. Statistical methodology
for massive datasets and model selection. In Astronomical
Data Analysis II, Jean-Luc Starck and Fionn D. Murtagh (Editors),
Proceedings of SPIE, Vol. 4847 (2002) 228-237.
[PDF]
- McDermott, J. P.; Babu, G. J.; Feigelson, E. D.
Low-Storage, Sequential, Simultaneous Estimation of Multiple Quantiles
for Massive Datasets. Bulletin of the American Astronomical
Society, 34 (2002) 742.
- Mahabal, A. A.; McDermott, J. P.; Babu, G. J.; Feigelson,
E. D.; Djorgovski, S. G.; Nichol, R.; Wasserman, L. Implementing
Astrostatistics in the Virtual Observatory. Bulletin of the
American Astronomical Society, 34 (2002) 743.
- Babu, G. J.; Padmanabhan, A. R. Re-sampling methods
for the non-parametric Behrens-Fisher problem. Sankhya Ser.
A 64 (2002) no. 3(i), 678-692. [PDF]
- Babu, G. J.; Manstavicius, E. Infinitely divisible
limit processes for the Ewens sampling formula. Lietuvos
Matematikos Rinkinys (Russian
[PDF])
42 (2002) no. 3, 294-307.
English translation in Lithuanian Math. J. 42
(2002) no. 3, 232-242. (MR 2003k:60044 Reviewer:
Krzysztof Podgorski, Zbl 1018.60003 Reviewer: Joseph
M. Gani). [PDF]
- Babu, G. J.; Manstavicius, E. Limit processes with
independent increments for the Ewens sampling formula. The
Ann. Inst. Statist. Math. 54 (2002) no. 3, 607-620. (MR
2003j:60041
Reviewer: Endre Csáki). [Article,
PDF]
- Babu, G. J.; Canty, A.; Chaubey, Y. Application of
Bernstein polynomials for smooth estimation of a distribution and
density function. J. Statist. Plann. Inference 105
(2002) no. 2, 377-392. (MR 2003d:62088). [PDF]
- Babu, G. Jogesh; Rao, C. R.; Pathak, P. K.
Consistency and accuracy of the sequential bootstrap. Statistics
for the 21st century (Bowling Green, OH, 1998), 21-31, C. R. Rao
and G. Szekely (Eds.), Statist. Textbooks Monogr., 161, Dekker,
New York 2000. (MR CMP1 767
912). [PDF]
- Babu, Gutti Jogesh; Feigelson, E. D. Statistical
methodology for National Virtual Observatory. Virtual
Observatories of the Future, 272-278, Robert J. Brunner, S. George
Djorgovski, and Alexander Szalay (Eds.), Astronomical
Society of the Pacific Conference Series Volume 225, San
Francisco, 2001. [PDF]
- Babu, G. J.; Manstavicius, E. Brownian motion for
random permutations. Sankhya Ser. 61 (1999),
no. 3, 312-327. (MR 2001j:60016).
[PDF]
- Babu, G. Jogesh; Pathak, P. K.; Rao, C. R.
Second-order correctness of the Poisson bootstrap. Ann.
Statist. 27 (1999) no. 5, 1666-1683. (MR 2001c:62059 Reviewer: Michael
Falk). [PDF]
- Babu, G. J.; Manstavicius, E. Limit theorems for
random permutations. Paul Erdös and his Mathematics
(Research Communications), 19-22, A. Sali, M. Simonovits, and V. T.
Sos (Eds.), Janos Bolyai Mathematical Society, Budapest, 1999.
[PDF]
- Babu, G. J.; Manstavicius, E. Random permutations and
the Ewens sampling formula in genetics. Probability and
Mathematical Statistics, 33-42, B. Grigelionis et al.,
(Eds.), TEV, Vilnius and VSP, Utrecht, Netherlands, 1999.
[PDF]
- Babu, Gutti Jogesh. Breakdown theory for estimators
based on bootstrap and other resampling schemes.
Asymptotics, nonparametrics, and time series, 669-681, Subir Ghosh
(Ed.), Statist. Textbooks Monogr., 158, Dekker, New
York, 1999. (MR 2000g:62010).
[PDF]
- Babu, Gutti Jogesh; Padmanabhan, A. R.; Puri, Madan
L. Robust one-way ANOVA under possibly non-regular conditions.
Biom. J. 41 (1999) no. 3, 321-339. (MR 2000d:62108). [Article,
PDF]
- Mukherjee, S.; Feigelson, E. D.; Babu, Gutti Jogesh;
Murtagh, F.; Fraley, C.; Raftery, A. Three types of Gamma ray
bursts. The Astrophysical Journal, 508 (1998)
November 20, 314-327. [Article,
PDF]
- Padmanabhan, A. R.; Chinchilli, V. M.; Babu, Gutti
Jogesh. Robust analysis of within-unit variances in repeated
measurement experiments. Biometrics, 53 (1997)
1520-1526. [PDF]
- Babu, G. J. Bootstrap -- A review.
Probability and its applications, 167-178, M.C. Bhattacharjee and
Sujit Basu (Eds.), The Oxford University Press, Delhi, 1997.
- Babu, Gutti Jogesh. On a conjecture by Erdös and
its extension to additive functions on the set of pairs of integers. New
trends in probability and statistics, Vol. 4
(Palanga, 1996), 261-270, A. Laurincikas, E. Manstavicius and V.
Stakenas (Eds.), VSP, Utrecht, 1997. (MR 2000a:11136 Reviewer:
Gérald Tenenbaum). [PDF]
- Feigelson, E. D.; Babu, G. J. Statistical methodology
for large astronomical surveys. New Horizons from
Multi-wavelength Sky Surveys, 363-370, B. McLean et al.,
(Eds.), IAU Symp. 179 , Kluwer, 1997.
[PDF]
- Babu, G. J.; Feigelson, E. D. The resurgence of
astrostatistics. Proceedings of 51st session of the
International Statistical Institute (Istanbul, 18-26 August 1997).
Bulletin of the International Statistical Institute, Book 2,
371-374, 1997.
- Feigelson, E. D.; Babu, G. J. Improving the
statistical methodology in astronomy. Data Analysis in
Astronomy V, 281--288, V. di Gesu, M. J. B. Duff, A. Heck, M. C.
Maccarone, L. Scarsi and H. U. Zimmermann (Eds.), World Scientific,
Singapore, 1997. [PDF]
- Babu, Gutti Jogesh; Padmanabhan, A. R. A robust test
for omnibus alternatives. Research developments in
probability and statistics, 319-327, Festscrift in honor of Madan
L. Puri on the occasion of his 65th birthday, E. Brunner and M. Denker
(eds.), VSP, Utrecht, 1996. (MR 98f:62033 Reviewer: S. Rao
Jammalamadaka). [PDF]
- Babu, Gutti Jogesh; Bai, Z. D. Mixtures of global and
local Edgeworth expansions and their applications. J.
Multivariate Anal. 59 (1996) no. 2, 282-307. (MR
98d:62023 Reviewer:
R. T. Smythe). [Article,
PDF]
- Koti, Kallappa M.; Babu, Gutti Jogesh. Sign test for
ranked-set sampling. Comm. Statist. Theory Methods 25
(1996) no. 7, 1617-1630.
[PDF]
- Babu, Gutti Jogesh; Chaubey, Yogendra P. Asymptotics
and bootstrap for inverse Gaussian regression. Ann. Inst.
Statist. Math. 48 (1996) no. 1, 75-88. (MR 97d:62027 Reviewer: Lin-Cheng
Zhao).
[PDF]
- Babu, Gutti Jogesh; Feigelson, Eric D. Spatial point
processes in astronomy. J. Statist. Plann. Inference 50
(1996) no. 3, 311-326. (MR 97a:85002).
[PDF]
- Babu, Gutti Jogesh. Absolute continuity of the
distributions of additive arithmetic functions. Sankhya Ser.
A 57 (1995) no. 1, 29-32. (MR 97d:11144 Reviewer: Katalin
Kovács). [PDF]
- Serinko, Regis J.; Babu, Gutti Jogesh. Asymptotics of
k-mean clustering under non-i.i.d. sampling.
Statist. Probab. Lett. 24 (1995) no. 1, 57-66. (MR
96d:62108). [PDF]
- Babu, Gutti Jogesh. Bootstrap for nonstandard cases.
J. Statist. Plann. Inference 43 (1995) no. 1-2,
197-203. (MR 96c:62080
Reviewer: Ming Gao Gu). [PDF]
- Linder, Ernst; Babu, Gutti Jogesh. Bootstrapping the
linear functional relationship with known error variance ratio.
Scand. J. Statist. 21 (1994) no. 1, 21-39. (MR 95b:62056 Reviewer: M.
Husková). [PDF]
- Babu, Gutti Jogesh; Bai, Z. D. Edgeworth expansions
of a function of sample means under minimal moment conditions and
partial Cramér's condition. Sankhya Ser. A 55
(1993) no. 2, 244-258. (MR 95m:60037 Reviewer: Zheng Yan
Lin). [PDF]
- Babu, Gutti Jogesh; Rao, C. Radhakrishna. Bootstrap
methodology. Computational statistics 627-659,
Handbook of Statistics 9, C. R. Rao (Ed.),
North-Holland, Amsterdam, 1993. (MR 94j:62097 Reviewer: Jan
Mielniczuk). [PDF]
- Babu, Gutti Jogesh. Edgeworth expansions in
non-regular cases and their applications to bootstrap.
Statistics and Probability: A Raghu Raj Bahadur Festscrift,
63-71, J. K. Ghosh, S. K. Mitra, K. R. Parthasarathy and B. L. S.
Prakasa Rao (Eds.), Wiley Eastern Limited, New Delhi, 1993.
[PDF]
- Feigelson, E. D.; Babu, Gutti Jogesh. Linear
regression in astronomy - II. Astrophysical Journal
397 (1992) September 20, 55-67. [Article,
PDF]
[Erratum]
- Babu, Gutti Jogesh; Rao, C. Radhakrishna. Expansions
for statistics involving the mean absolute deviations. Ann.
Inst. Statist. Math. 44 (1992) no. 2, 387-403. (MR
93m:62038 Reviewer:
Richard A. Johnson). [PDF]
- Babu, G. J. Smoothness of the distributions of
arithmetic functions. New trends in probability and
statistics, Vol. 2 (Palanga, 1991),
191-199, F. Schweiger and E. Manstavicius (Eds.), VSP,
Utrecht, 1992. (MR 93m:11079
Reviewer: Jean-Loup Mauclaire, Zbl 0767.11034 Reviewer: I. Z.
Ruzsa). [PDF]
- Babu, Gutti Jogesh. Subsample and half-sample
methods. Ann. Inst. Statist. Math. 44 (1992)
no. 4, 703-720. (MR 93k:62101
Reviewer: Jan Mielniczuk). [PDF]
- Babu, Gutti Jogesh; Rao, C. Radhakrishna; Rao, M.
Bhaskara. Nonparametric estimationof specific occurrence/exposure
rate in risk and survival analysis. J. Amer. Statist. Assoc.
87 (1992) no. 417, 84-89. (MR 93k:62080 Reviewer: Niels
Keiding). [PDF]
- Serinko, Regis J.; Babu, Gutti Jogesh. Weak limit
theorems for univariate k-mean clustering under a
nonregular condition. J. Multivariate Anal. 41 (1992)
no. 2, 273-296. (MR 93k:60062
Reviewer: Zhi-Dong Bai). [PDF]
- Babu, Gutti Jogesh; Bai, Z. D. Edgeworth expansions
for errors-in-variables models. J. Multivariate Anal. 42
(1992) no. 2, 226-244. (MR 93j:62168 Reviewer: Jon Stene).
[PDF]
- Babu, Gutti Jogesh; Feigelson, Eric D. Analytical and
Monte Carlo comparisons of six different linear least squares fits.
Comm. Statist. Simulation Comput. 21 (1992) no. 2,
533-549. (MR 93e:62167).
[PDF]
- Feigelson, E. D.; Babu, Gutti Jogesh. Improving the
statistical methodology of astronomical data analysis.
Astronomical data analysis software and systems I, 237-244, Diana
M. Worrall, Chris Biemesderfer, and Jeannette Barnes (Eds.),
Astronomical Society of the Pacific Conference Series, Vol. 25,
1992. [PDF]
- Babu, Gutti Jogesh. Invited discussion of the paper
"The Promise of Bayesian inference for astrophysics" by T. J. Loredo.
Statistical Challenges in Modern Astronomy, 298-299, E. D.
Feigelson and G. J. Babu (Eds.), Springer-Verlag, New York, 1992.
- Babu, G. J.; Feigelson, E. D. CI in astronomy.
Combining information: Statistical issues and opportunities for
research, 74-78, National Research Council, National Academy
Press, Washington, D. C., 1992.
[PDF]
- Bhaskara Rao, M.; Babu, G. Jogesh; Rao, C.
Radhakrishna. Nonparametric estimation of survival functions
under dependent competing risks. Nonparametric functional
estimation and related topics (Spetses, 1990), 431-441, NATO Adv.
Sci. Inst. Ser. C Math. Phys. Sci., 335 , G. Roussas (Ed.),
Kluwer Acad. Publ., Dordrecht, 1991. (MR 93a:62063).
[PDF]
- Bose, Arup; Babu, G. J. Accuracy of the bootstrap
approximation. Probab. Theory Related Fields 90
(1991) no. 3, 301-316. (MR 92m:62050 Reviewer: Michael
Falk, Zbl 0741.62017
Reviewer: A. V. Nagaev). [PDF]
- Babu, Gutti Jogesh. Edgeworth expansions for
statistics which are functions of lattice and nonlattice variables.
Statist. Probab. Lett. 12 (1991) no. 1, 1-7. (MR 92k:62027 Reviewer: Arup Bose).
[PDF]
- Babu, Gutti Jogesh. Asymptotic theory for estimators
under random censorship. Probab. Theory and Related
Fields 90 (1991) no. 2, 275-290. (MR 92i:62031 Reviewer: Eswar G.
Phadia). [PDF]
- Babu, Gutti Jogesh. Discussion of P. K. Sen's paper,
"Nonparametrics: Retrospectives and Perspectives." J.
Nonparametric Statistics 1 (1991) 33-35.
[PDF]
- Isobe, T.; Feigelson, E. D.; Akritas, M. G.;Babu, G.
J. Linear regression in astronomy I. The Astrophysical
Journal 364 (1990) November 20, 104-113.
[PDF]
- Babu, Gutti Jogesh. A note on Dubins' theorem.
Canad. Math. Bull. 33 (1990) no. 4, 416-418. (MR 92c:60002 Reviewer: Rae M.
Shortt). [PDF]
- Singh, Kesar; Babu, G. J. On asymptotic optimality of
the bootstrap. Scand. J. Statist. 17 (1990)
no. 1, 1-9. (MR 91h:62046
Reviewer: Michael Falk, Zbl 0719.62054 Reviewer: J.
Bartoszewicz). [PDF]
- Babu, Gutti Jogesh; Rao, C. Radhakrishna. Estimation
of the reciprocal of the density quantile function at a point.
J. Multivariate Anal. 33 (1990) no. 1, 106-124. (MR
91h:62037 Reviewer:
M. Bertrand-Retali). [PDF]
- Babu, Gutti Jogesh. Applications of Edgeworth
expansions to bootstrap -- a review. Statistical data
analysis and inference (Neuchâtel, 1989), 223-237, Y. Dodge
(Ed.), North-Holland, Amsterdam, 1989. (MR 91m:62076).
[PDF]
- Babu, Gutti Jogesh; Singh, Kesar. A note on Edgeworth
expansions for the lattice case. J. Multivariate Anal.
30 (1989) no. 1, 27-33. (MR 90m:62073 Reviewer: D. N.
Shanbhag). [PDF]
- Babu, Gutti Jogesh. Strong representations for LAD
estimators in linear models. Probab. Theory Related
Fields 83 (1989) no. 4, 547-558. (MR 90i:62079 Reviewer: C. R. Rao).
[PDF]
- Babu, Gutti Jogesh; Erdös, Paul. A note on the
distribution function of additive arithmetical functions in short
intervals. Canad. Math. Bull. 32 (1989) no. 4,
441-445. (MR 90i:11106
Reviewer: Adolf Hildebrand).
[PDF]
- Babu, G. J.; Singh, K. On Edgeworth expansions in the
mixture cases. Ann. Statist. 17 (1989) no. 1,
443-447. (MR 90b:62019
Reviewer: Jana Jurecková). [PDF]
- Babu, G. Jogesh; Rao, C. Radhakrishna. Joint
asymptotic distribution of marginal quantiles and quantile functions in
samples from a multivariate population. J. Multivariate Anal.
27 (1988) no. 1, 15-23. (MR 90e:62078 Reviewer: M.
Csörgö). [PDF]
- Patil, G. P.; Babu, G. J.; Hennemuth, R. C.; Myers, W. L.;
Rajarshi, M. B.; Taillie, C. Data-based sampling and model-based
estimation for environmental resources. Sampling,
489--513, Handbook of Statist. 6, P. R. Krishnaiah and C.
R. Rao ( Eds.), North-Holland, Amsterdam,
1988. (MR 90m:62033
Reviewer: Raymond L. Chambers).
[PDF]
- Babu, G. J.; Bose, A. Bootstrap confidence intervals.
Statist. Probab. Lett. 7 (1988) no.
2, 151-160. (MR 90c:62047
Reviewer: Michael Falk). [PDF]
- Babu, Gutti Jogesh. A note on comparison of
conditional means. J. Statist. Plann. Inference 19
(1988) no. 2, 253-259. (MR 89i:62054 Reviewer: Thomas W.
Sager). [PDF]
- Babu, Gutti Jogesh. Estimation of density quantile
function. Sankhya Ser. A 48 (1986) no. 2,
142-149. (MR 89h:62057
Reviewer: Paul Deheuvels). [PDF]
- Babu, Gutti Jogesh. A note on bootstrapping the
variance of sample quantile. Ann. Inst. Statist. Math.
38 (1986) no. 3, 439-443. (MR 88a:62092 Reviewer: Luc P.
Devroye). [PDF]
- Babu, G. J.; Pennington, M.; Patil, G. P. Estimation
of relative fishing power of different vessels. Proceedings
of the Special Symposium on U.S. National MonitoringStrategies, Oceans
86, Washington D.C. Vol. 3 (1986) 914-917.
[PDF]
- Patil, G. P.; Babu, G. J.; Boswell, M. T.; Chatterjee, K.;
Linder, E.; Taillie, C. Statistical issues in combining
ecological studies, with examples in marine fisheries research and
management. Invited discussion paper presented at the ASA and EPA
Conference on Statistical Issues in Combining Environmental
Studies, at Washington D. C., (1986) 70-88.
[PDF]
- Babu, Gutti Jogesh. Efficient estimation of the
reciprocal of the density quantile function at a point.
Statist. Probab. Lett. 4 (1986) no. 3, 133-139. (MR
87e:62041 Reviewer:
Wolfgang Gawronski). [PDF]
- Babu, G. Jogesh; Singh, Kesar. Edgeworth expansions
for sampling without replacement from finite populations. J.
Multivariate Anal. 17 (1985) no. 3, 261-278. (MR
87h:62027 Reviewer:
Reinhard Michel, Zbl 0589.62009
Reviewer: K.-I. Yoshihara). [PDF]
- Babu, G. Jogesh; Singh, Kesar. On one term Edgeworth
correction by Efron's bootstrap. Sankhya Ser. A 46 (1984)
no. 2, 219-232. (MR 86g:62053
Reviewer: N. C. Weber). [PDF]
- Ghosh, Malay; Parr, William C.; Singh, Kesar; Babu, G.
Jogesh. A note on bootstrapping the sample median. Ann.
Statist. 12 (1984) no. 3, 1130-1135. (MR 86e:62027 Reviewer: Ronald J.
M. M. Does). [PDF]
- Babu, G. Jogesh; Singh, Kesar. Asymptotic
representations related to jackknifing and bootstrapping L-statistics.
Sankhya Ser. A 46 (1984) no. 2, 195-206. (MR 86m:62084 Reviewer: Rashid
Ahmad). [PDF]
- Babu, Gutti Jogesh. Bootstrapping statistics with
linear combinations of chi-squares as weak limit. Sankhya
Ser. A 46 (1984) no. 1, 85-93. (MR 87a:62048 Reviewer: K. M. Lal
Saxena). [PDF]
- Babu, Gutti Jogesh. On the law of iterated logarithm
for occupation measures of empirical processes. Z. Wahrsch.
Verw. Gebiete 65 (1983) no. 1, 73-81. (MR 85h:60041 Reviewer: W. E.
Pruitt). [PDF]
- Babu, G. Jogesh; Singh, Kesar. Inference on means
using the bootstrap. Ann. Statist. 11 (1983)
no. 3, 999-1003. (MR 84i:62049 Reviewer: V. Susarla,
Zbl 0539.62043
Reviewer: P. K. Sen). [PDF]
- Babu, G. J. Distribution of the values of ω in
short intervals. Acta Math. Acad. Sci. Hungar. 40 (1982)
no. 1-2, 135-137. (MR 84e:10062
Reviewer: E. J. Scourfield). [PDF]
- Babu, Gutti Jogesh; Singh, Kesar. On r-quick limit
sets for empirical and relatedprocesses based on mixing random
variables. J. Multivariate Anal. 12 (1982)
no. 4, 508-525. (MR 84d:60049
Reviewer: Sándor Csörgö). [PDF]
- Deo, Chandrakant M.; Babu, Gutti Jogesh.
Probabilities of moderate deviations in a Banach space.
Proc. Amer. Math. Soc. 83 (1981) no. 2, 392-397. (MR
83a:60044
Reviewer: Michael Marcus). [PDF]
- Babu, Gutti Jogesh. On the mean values and
distributions of arithmetic functions. Acta Arith. 40
(1981) no. 1, 63-77. (MR 84d:10054 Reviewer: J.
Kubilius). [PDF]
- Babu, G. Jogesh. An inequality for moments of sums of
truncated φ-mixing random variables and its applications.
Sankhya Ser. A 42 (1980) no. 1-2, 1-8. (MR
84g:60028).
[PDF]
- Babu, G. Jogesh. On the distributions of
multiplicative functions. Acta Arith. 36
(1980) no. 4, 331-340. (MR 82a:10060 Reviewer: P.
Szüsz). [PDF]
- Babu, Gutti Jogesh; Singh, Kesar. On deviations
between empirical and quantile processes for mixing random variables.
J. Multivariate Anal. 8 (1978) no. 4, 532-549. (MR
84g:60054 Reviewer:
M. Csörgö). [PDF]
- Babu, Gutti Jogesh; Ghosh, Malay; Singh, Kesar. On
rates of convergence to normality for φ-mixing processes.
Sankhya Ser. A 40 (1978) no. 3, 278-293. (MR
81m:60034 Reviewer:
Reinhard Michel). [PDF]
- Babu, Gutti Jogesh; Singh, Kesar. Probabilities of
moderate deviations for some stationary strong-mixing processes.
Sankhya Ser. A 40 (1978) no. 1, 38-43. (MR
82k:60056 Reviewer:
S. Csörgö). [PDF]
- Babu, Gutti Jogesh; Singh, Kesar. On probabilities of
moderate deviations for dependent processes. Sankhya Ser. A
40 (1978) no. 1, 28-37. (MR 82i:60047 Reviewer: S.
Csörgö). [PDF]
- Erdös, P.; Babu, G. Jogesh; Ramachandar, K. An
asymptotic formula in additive number theory - II. J. Indian
Math. Soc. (N.S.) 41 (1977) no. 3-4, 281-291. (MR
81g:10062 Reviewer:
Jean-Marc Deshouillers). [PDF]
- Babu, G. Jogesh. Some results on the distribution of
additive arithmetic functions - I. Sankhya Ser. A 39
(1977) no. 1, 1-10. (MR 58 #16577 Reviewer: J.
Kubilius). [PDF]
- Ghosh, Malay; Babu, Gutti Jogesh. Probabilities of
moderate deviations for some stationary φ-mixing processes.
Ann. Probability 5 (1977) no. 2, 222-234. (MR 55 #9235 Reviewer: G. K.
Eagleson). [PDF]
- Babu, G. Jogesh. Some results on the distribution of
values of additive functions on the set of pairs of positive integers -
II. Acta Arith. 29 (1976) no. 4, 359-366. (MR
55 #5564b
Reviewer: Karl-Heinz Indlekofer). [PDF]
- Babu, G. Jogesh. Some results on the distribution of
values of additive functions on the set of pairs of positive integers -
I. Acta Arith. 29 (1976) no. 2, 171-179. (MR
55 #5564a
Reviewer: Karl-Heinz Indlekofer). [PDF]
- Babu, G. Jogesh; Ghosh, M. A random functional
central limit theorem for martingales. Acta Math. Acad. Sci.
Hungar. 27 (1976) no. 3-4, 301-306. (MR 54 #11426 Reviewer: David J.
Scott). [PDF]
- Babu, G. Jogesh. On the distribution of arithmetic
functions. Acta Arith. 29 (1976) no. 2,
97--104. (MR 53 #325
Reviewer: J. Galambos). [PDF]
- Erdös, P.; Babu, G. Jogesh; Ramachandra, K. An
asymptotic formula in additive number theory. Acta Arith.
28 (1976) no. 4, 405-412. (MR 53 #7974 Reviewer: Jean-Marc
Deshouillers). [PDF]
- Ghosh, Malay; Babu, Gutti Jogesh.; Mukhopadhyay, N.
Almost sure convergence of sums of maxima and minima of positive random
variables. Z. Wahrscheinlichkeitstheorie und Verw.
Gebiete 33 (1975) no. 1, 49-54. (MR 52 #1848 Reviewer: George L.
O'Brien). [PDF]
- Babu, G. Jogesh. Some results on the distribution of
the values of multiplicative functions. Sankhya Ser. A
37 (1975) no. 3, 386-395. ( MR 55 #7975 Reviewer: J. Galambos).
[PDF]
- Babu, G. Jogesh. Absolutely continuous distribution
functions of additive functions f(p)=(log p)-a, a > 0.
Acta Arith. 26 (1975) no. 4, 401-403. (MR 51 #10271 Reviewer: J.
Kubilius). [PDF]
- Babu, G. Jogesh. On the characteristic function of
the distribution of the values of additive arithmetic functions.
Litovsk. Mat. Sb. 14 (1974) no. 1, 27-31, 223. (MR
52 #321 Reviewer: O.
P. Stackelberg). [PDF]
- Babu, G. Jogesh. Some results on the distribution of
additive arithmetic functions. III. Acta Arith. 25
(1973) 39-49. (errata insert). (MR 53 #324 Reviewer: M. C.
Wunderlich). [PDF]
- Babu, G. Jogesh. Some results on the distribution of
additive arithmetic functions. II. Acta Arith. 23 (1973)
315-328. (errata insert). (MR 53 #324 Reviewer: M. C.
Wunderlich). [PDF]
- Babu, G. Jogesh. A note on the invariance principle
for additive functions. Sankhya Ser. A 35
(1973) no. 3, 307-310. (MR 58#27877).
[PDF]
- Babu, G. Jogesh. On the distribution of additive
arithmetical functions of integral polynomials. Sankhya Ser.
A 34 (1972) 323-334. (MR 50 #2109 Reviewer: M. C.
Wunderlich). [PDF]
Book Reviews by G. J. Babu:
- Kosorok, M. R.
Introduction to empirical processes and semiparametric inference. Springer Series in Statistics.
Springer-Verlag, New York, 2008. xiv+483 pp. ISBN: 978-0-387-74977-8.
Math Reviews 2012b:62005.
- Ingster, Yu. I. and Suslina, I. A.
Nonparametric goodness-of-fit testing under Gaussian models.
Lecture Notes in Statistics, 169. Springer-Verlag, New York, 2003.
xiv+453 pp. ISBN: 0-387-95531-3.
Math Reviews 2005k:62003.
- Bahadur, R. R. R. R. Bahadur's lectures on the theory of estimation.
Edited and with a preface by Stephen M. Stigler, Wing Hung Wong and Daming Xu.
Institute of Mathematical Statistics Lecture Notes---Monograph Series, 39. IMS,
Beachwood, OH, 2002. viii+83 pp. ISBN: 0-940600-53-6. Math Reviews
2005a:62008.
- Abdelhak M. Zoubir and D. Robert Iskander.
Bootstrap Techniques for Signal Processing. Cambridge
University Press, Cambridge, UK, 2004. Technometrics, 47,
No. 3 (2005) 374-375. [Review (PDF)]
- Fortunato, Pesarin. Multivariate Permutation
Tests. John Wiley, West Sussex, UK, 2001. xxvi +
408 pp., ISBN 0-471-49670-7. Technometrics, 44,
No. 3 (2002) 290. [Review (PDF)]
- Rand R.Wilcox. Fundamentals of modern
statistical methods. Springer-Verlag, New York, 2001.
xiii+258 pp., ISBN: 0-387-95157-1. Technometrics, 44,
No. 1 (2002) 83. [Review (PDF)]
- Chernick, Michael R. Bootstrap methods. A
practitioner's guide. Wiley Seriesin Probability and Statistics:
Applied Probability and Statistics. A Wiley-Interscience
Publication. John Wiley & Sons, Inc., New York,
1999. xvi+264 pp., ISBN: 0-471-34912-7. Math Reviews 2000k:62083.
- DimitrisN. Politis, Joseph P. Romano, Michael Wolf.
Subsampling, Springer, New York, 1999. Sankhya
Ser. A 62 (2000) 152-153.
[Review (PDF)]
- Generalized method of moments estimation. Edited by László
Mátyás. Cambridge University Press,
Cambridge, 1999. xii+312 pp. ISBN: 0-521-66013-0;0-521-66967-7.
Math Reviews 2000h:62128.
- Sheldon M. Ross. Introduction to Probability
Models, Sixth Edition, Academic Press, San Diego, 1997.
Technometrics 40 (1998) 78.
[Review (PDF)]
- Shao, Jun; Tu, Dong Sheng. The jackknife and
bootstrap. Springer Series in Statistics.
Springer-Verlag,New York, 1995. xviii+516 pp., ISBN: 0-387-94515-6.
Math Reviews 97b:62070.
- Bhattacharya, Rabi; Denker, Manfred. Asymptotic
statistics. DMV Seminar, 14. BirkhäuserVerlag, Basel,
1990. 122 pp., ISBN: 3-7643-2282-9. Math Reviews 94d:62042.
- Hall, Peter. The bootstrap and Edgeworth
expansion. Springer Series in Statistics.
Springer-Verlag,New York, 1992. xiv+352 pp., ISBN: 0-387-97720-1.
Math Reviews 93h:62029.
- Prakasa Rao, B. L. S. Asymptotic theory of
statistical inference. Wiley Seriesin Probability and Mathematical
Statistics: Probability and Mathematical Statistics. John
Wiley & Sons, Inc., New York, 1987. xvi+438pp., ISBN:
0-471-84335-0. J. Amer. Statist. Assoc. 83 No.404 (1988)
1217-1218. [Review (PDF)]
- Elliott, P. D. T. A. Arithmetic functions and
integer products. Grundlehrender Mathematischen Wissenschaften
[Fundamental Principles of Mathematical Science], 272.
Springer-Verlag, New York-Berlin, 1985. xv+461pp., ISBN:
0-387-96094-5. Math Reviews 86j:11095.
- Heinrich, Lothar. A method for the derivation
of limit theorems for some classesof dependent random variables. With
German and Russian summaries. WissenschaftlicheSitzungen zur Stochastik
[Scientific Meetings on Stochastics], 83-5. Akademie der
Wissenschaften der DDR, Institut für Mathematik, Berlin, 1983.
41 pp. Math Reviews 86b:60040.
- Advances inprobability theory: limit theorems & related
problems. Translatedfrom the Russian. Edited by A. A. Borovkov.
Translation Series in Mathematics and Engineering.
Optimization Software, Inc., Publications Division, New York, 1984.
xiv+377 pp., ISBN: 0-911575-03-0. Sankhya, Ser. A 47
(1985) 419.
- Hall, P.; Heyde, C. C. Martingale limit theory
and its application. Probability and Mathematical Statistics.
Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New
York-London, 1980. xii+308 pp., ISBN: 0-12-319350-8.
Sankhya, Ser. A 45 (1983) 397-398.
[Review (PDF)]
- Elliott, P. D. T. A. Probabilistic number
theory-II. Central limit theorems. Grundlehren der Mathematischen
Wissenschaften [Fundamental Principles of Mathematical Sciences], 240.
Springer-Verlag, Berlin-New York,1980. xviii+341+xxxiv pp., ISBN:
0-387-90438-7. J. Mathematical and Physical Sciences,
1982.
- Elliott, P. D. T. A. Probabilistic number
theory-I. Mean-value theorems. Grundlehrender Mathematischen
Wissenschaften [Fundamental Principles of Mathematical Science], 239.
Springer-Verlag, New York-Berlin, 1979. xxii+359+xxxiii pp., (2
plates). ISBN: 0-387-90437-9. J. Mathematical and Physical
Sciences, 1982.
- Vervaat, W. Success epochs in Bernoulli trials
(with applications in number theory). Mathematical Centre Tracts, No.
42. Mathematisch Centrum, Amsterdam, 1972. iii+166 pp.,
(loose errata). Sankhya, Ser. A 35
(1973) 112-113.
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