## Bhattacharya, Rabi N.

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 Author ID: bhattacharya.rabi-n Published as: Bhattacharya, Rabi; Bhattacharya, R. N.; Bhattacharya, Rabi N. Homepage: http://math.arizona.edu/~rabi/ External Links: MGP · Wikidata · ResearchGate · GND · IdRef
 Documents Indexed: 112 Publications since 1957, including 16 Books Biographic References: 1 Publication Co-Authors: 35 Co-Authors with 78 Joint Publications 800 Co-Co-Authors
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### Co-Authors

 30 single-authored 14 Majumdar, Mukul K. 13 Waymire, Edward C. 8 Lin, Lizhen 7 Patrangenaru, Victor 5 Ghosh, Jayanta Kumar 4 Kumar Gupta, Vijay 4 Ranga Rao, R. 3 Bhattacharya, Abhishek 3 Denker, Manfred 3 Lee, Chanho 3 Lee, Oesook 3 Thomann, Enrique A. 2 Bhattacharjee, Manish C. 2 Chen, Larry 2 Götze, Friedrich 2 Guenther, Ronald B. 2 Oliver, Rachel 2 Orum, Chris 2 Ossiander, Mina E. 1 Almudevar, Anthony 1 Athreya, Krishna Balasundaram 1 Bandulasiri, Ananda 1 Basak, Gopal Krishna 1 Bhattacharyya, Dilip K. 1 Chan, Ngai Hang 1 Dobson, Scott 1 Goswami, Alok 1 Hashimzade, Nigar 1 Kong, Maiying 1 Piegorsch, Walter W. 1 Puri, Madan Lal 1 Qumsiyeh, Maher B. 1 Sastri, Chelluri C. A. 1 Walker, Homer F. 1 Wasielak, Aramian
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### Serials

 8 The Annals of Probability 7 Journal of Statistical Planning and Inference 6 Journal of Multivariate Analysis 5 The Annals of Statistics 4 Sankhyā. Series A. Methods and Techniques 4 Statistics & Probability Letters 3 SIAM Journal on Applied Mathematics 3 Wiley Series in Probability and Mathematical Statistics 2 AIAA Journal 2 Proceedings of the American Mathematical Society 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Journal of Theoretical Probability 2 The Annals of Applied Probability 2 Computational Statistics and Data Analysis 2 Economic Theory 2 Bernoulli 2 Review of Economic Design 2 Proceedings of the National Institute of Sciences of India, Part A 2 Classics in Applied Mathematics 2 Sankhyā. Series A 2 Sankhyā. Series B 2 Institute of Mathematical Statistics Monographs 2 Universitext 1 Journal of Mathematical and Physical Sciences 1 Scandinavian Journal of Statistics 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Theory of Probability and its Applications 1 Journal of Applied Probability 1 Journal of Economic Theory 1 The Mathematics Student 1 Transactions of the American Mathematical Society 1 SIAM Review 1 Stochastic Processes and their Applications 1 Probability in the Engineering and Informational Sciences 1 Stochastics and Dynamics 1 Bulletin of the American Mathematical Society 1 DMV Seminar 1 Graduate Texts in Mathematics 1 International Journal of Economic Theory 1 Annals of Mathematical Statistics 1 Springer Texts in Statistics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Contemporary Mathematicians
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### Fields

 74 Probability theory and stochastic processes (60-XX) 34 Statistics (62-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Approximations and expansions (41-XX) 5 Fluid mechanics (76-XX) 3 Partial differential equations (35-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

89 Publications have been cited 1,696 times in 1,313 Documents Cited by Year
Normal approximation and asymptotic expansions. Zbl 0331.41023
Bhattacharya, R. N.; Ranga Rao, R.
1976
On the validity of the formal Edgeworth expansion. Zbl 0396.62010
Bhattacharya, R. N.; Ghosh, J. K.
1978
Large sample theory of intrinsic and extrinsic sample means on manifolds. I. Zbl 1020.62026
Bhattacharya, Rabi; Patrangenaru, Vic
2003
On the functional central limit theorem and the law of the iterated logarithm for Markov processes. Zbl 0468.60034
Bhattacharya, R. N.
1982
Large sample theory of intrinsic and extrinsic sample means on manifolds. II. Zbl 1072.62033
Bhattacharya, Rabi; Patrangenaru, Vic
2005
Stochastic processes with applications. Zbl 0744.60032
Bhattacharya, Rabi N.; Waymire, Edward C.
1990
Normal approximation and asymptotic expansions. (Reprint of the 1976 orig. publ. by Wiley, New York. Repr. ed. with corrections & supplemental material). Zbl 0657.41001
Bhattacharya, R. N.; Ranga Rao, R.
1986
Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0386.60056
Bhattacharya, R. N.
1978
The Hurst effect under trends. Zbl 0526.60027
Bhattacharya, R. N.; Gupta, Vijay K.; Waymire, Ed
1983
Stability in distribution for a class of singular diffusions. Zbl 0749.60073
Basak, Gopal K.; Bhattacharya, Rabi N.
1992
Normal approximation and asymptotic expansions. Updated republication of the 1986 reprint published by Robert E. Krieger Publ. Co. Zbl 1222.41002
Bhattacharya, R. N.; Ranga Rao, R.
2010
Random dynamical systems. Theory and applications. Zbl 1114.37027
Bhattacharya, Rabi; Majumdar, Mukul
2007
On geometric ergodicity of nonlinear autoregressive models. Zbl 0830.60059
Bhattacharya, Rabi; Lee, Chanho
1995
Nonparametric inference on manifolds. With applications to shape spaces. Zbl 1273.62014
Bhattacharya, Abhishek; Bhattacharya, Rabi
2012
Asymptotics of a class of Markov processes which are not in general irreducible. Zbl 0652.60028
Bhattacharya, Rabi N.; Lee, Oesook
1988
A central limit theorem for diffusions with periodic coefficients. Zbl 0575.60075
Bhattacharya, Rabi
1985
A basic course in probability theory. Zbl 1138.60001
Bhattacharya, Rabi N.; Waymire, Edward C.
2007
Nonparametic estimation of location and dispersion on Riemannian manifolds. Zbl 1031.62024
Bhattacharya, Rabi; Patrangenaru, Vic
2002
Stochastic processes with applications. Reprint of the 1990 original ed. Zbl 1171.60333
Bhattacharya, Rabi N.; Waymire, Edward C.
2009
Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces. Zbl 1353.60019
Bhattacharya, Rabi; Lin, Lizhen
2017
Majorizing kernels and stochastic cascades with applications to incompressible Navier-Stokes equations. Zbl 1031.35115
Bhattacharya, Rabi N.; Chen, Larry; Dobson, Scott; Guenther, Ronald B.; Orum, Chris; Ossiander, Mina; Thomann, Enrique; Waymire, Edward C.
2003
Speed of convergence of the n-fold convolution of a probability measure on a compact group. Zbl 0247.60008
Bhattacharya, R. N.
1972
Refinements of the multidimensional central limit theorem and applications. Zbl 0361.60001
Bhattacharya, R. N.
1977
Asymptotic statistics. Zbl 0706.62049
Bhattacharya, Rabi; Denker, Manfred
1990
Second order and $$L^ p$$-comparisons between the boostrap and empirical Edgeworth expansion methodologies. Zbl 0669.62002
Bhattacharya, Rabi; Qumsiyeh, Maher
1989
Ergodicity of nonlinear first order autoregressive models. Zbl 0815.60059
Bhattacharya, Rabi N.; Lee, Chanho
1995
Controlled semi-Markov models - the discounted case. Zbl 0673.93089
Bhattacharya, Rabi N.; Majumdar, Mukul
1989
Controlled semi-Markov models under long-run average rewards. Zbl 0683.49003
Bhattacharya, Rabi N.; Majumdar, Mukul
1989
Asymptotics of solute dispersion in periodic porous media. Zbl 0664.60079
Bhattacharya, R. N.; Gupta, V. K.; Walker, H. F.
1989
Stochastic processes with applications. Zbl 0715.60046
Bhattacharya, Rabi N.; Waymire, Edward C.
1990
Nonparametric inference for extrinsic means on size-and-(reflection)-shape manifolds with applications in medical imaging. Zbl 1171.62028
Bandulasiri, Ananda; Bhattacharya, Rabi N.; Patrangenaru, Vic
2009
Statistics on Riemannian manifolds: asymptotic distribution and curvature. Zbl 1274.62337
Bhattacharya, Abhishek; Bhattacharya, Rabi
2008
Statistics on manifolds and landmarks based image analysis: a nonparametric theory with applications. Zbl 1278.62068
Bhattacharya, Rabi; Patrangenaru, Vic
2014
Random iterations of two quadratic maps. Zbl 0786.60095
Bhattacharya, Rabi N.; Rao, B. V.
1993
A class of $$U$$-statistics and asymptotic normality of the number of $$k$$- clusters. Zbl 0764.60025
Bhattacharya, Rabi N.; Ghosh, Jayanta K.
1992
On a class of stable random dynamical systems: Theory and applications. Zbl 0987.60083
Bhattacharya, Rabi; Majumdar, Mukul
2001
Rates of weak convergence for the multidimensional central limit theorem. Zbl 0216.46302
Bhattacharya, R. N.
1970
Recurrence and ergodicity of diffusions. Zbl 0499.60084
Bhattacharya, R. N.; Ramasubramanian, S.
1982
Some recent results on Cramér-Edgeworth expansions with applications. Zbl 0588.62029
Bhattacharya, R. N.
1985
Consistency and asymptotic normality of the estimated effective doses in bioassay. Zbl 1104.62117
Bhattacharya, Rabi; Kong, Maiying
2007
Stochastic equivalence of convex ordered distributions and applications. Zbl 0955.60019
Bhattacharjee, M. C.; Bhattacharya, R. N.
2000
A course in mathematical statistics and large sample theory. Zbl 1358.62002
Bhattacharya, Rabi; Lin, Lizhen; Patrangenaru, Victor
2016
On moment conditions for valid formal Edgeworth expansions. Zbl 0672.62030
Bhattacharya, Rabi N.; Ghosh, J. K.
1988
On a theorem of Dubins and Freedman. Zbl 0961.60064
Bhattacharya, Rabi; Majumdar, Mukul
1999
Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media. Zbl 0956.60080
Bhattacharya, Rabi
1999
Erratum to: On geometric ergodicity of nonlinear autoregressive models. Zbl 0932.60076
Bhattacharya, Rabi; Lee, Chanho
1999
Correction to: Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0445.60063
Bhattacharya, R. N.
1980
Normal approximation and asymptotic expansions. (Approksimatsiya normal’nym raspredeleniem i asimptoticheskie razlozheniya). Transl. from the English. Zbl 0514.41002
Bhattacharya, R. N.; Ranga Rao, R.
1982
Random dynamical systems: a review. Zbl 1175.91103
Bhattacharya, Rabi; Majumdar, Mukul
2004
Semi-Markov cascade representations of local solutions to 3-D incompressible Navier-Stokes. Zbl 1104.35027
Bhattacharya, Rabi; Chen, Larry; Guenther, Ronald B.; Orum, Chris; Ossiander, Mina; Thomann, Enrique; Waymire, Edward C.
2005
Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Zbl 0962.60045
Bhattacharya, Rabi; Denker, Manfred; Goswami, Alok
1999
On the Taylor-Aris theory of solute transport in a capillary. Zbl 0537.76078
Bhattacharya, R. N.; Gupta, Vijay K.
1984
A basic course in probability theory. 2nd edition. Zbl 1357.60001
Bhattacharya, Rabi; Waymire, Edward C.
2016
A note on the distribution of integrals of geometric Brownian motion. Zbl 0990.60083
Bhattacharya, Rabi; Thomann, Enrique; Waymire, Edward
2001
Limit theorems for monotone Markov processes. Zbl 1209.60016
Bhattacharya, Rabi; Majumdar, Mukul; Hashimzade, Nigar
2010
Ergodicity and central limit theorems for a class of Markov processes. Zbl 0658.60094
Bhattacharya, Rabi N.; Lee, Oesook
1988
Berry-Esseen bounds for the multi-dimensional central limit theorem. Zbl 0179.48102
Bhattacharya, R. N.
1968
Recent results on refinements of the central limit theorem. Zbl 0266.60010
Bhattacharya, R. N.
1972
On errors of normal approximation. Zbl 0319.60013
Bhattacharya, R. N.
1975
Nonparametric benchmark analysis in risk assessment: a comparative study by simulation and data analysis. Zbl 1271.62062
Bhattacharya, Rabi; Lin, Lizhen
2011
Stability in distribution of randomly perturbed quadratic maps as Markov processes. Zbl 1065.60090
Bhattacharya, Rabi; Majumdar, Mukul
2004
An approach to the existence of unique invariant probabilities for Markov processes. Zbl 1033.60078
Bhattacharya, R. N.; Waymire, E. C.
2002
Comparisons of chisquare, Edgeworth expansions and bootstrap approximations to the distribution of the frequency chisquare. Zbl 0885.62015
Bhattacharya, R. N.; Chan, N. H.
1996
On the order of magnitude of cumulants of von Mises functionals and related statistics. Zbl 0527.62025
Bhattacharya, R. N.; Puri, M. L.
1983
An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies. Zbl 1202.62145
Bhattacharya, Rabi; Lin, Lizhen
2010
On a statistical theory of solute transport in porous media. Zbl 0417.60080
Bhattacharya, R. N.; Gupta, V. K.
1979
Rates of weak convergence and asymptotic expansions for classical central limit theorems. Zbl 0224.60014
Bhattacharya, R. N.
1971
A nonparametric theory of statistics on manifolds. Zbl 1280.62057
Bhattacharya, Rabi
2013
Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities. Zbl 0841.60065
Bhattacharya, Rabi N.; Götze, Friedrich
1995
Asymptotic behavior of several dimensional diffusions. Zbl 0464.60035
Bhattacharya, R. N.
1981
Correction to: On the validity of the formal Edgeworth expansion. Zbl 0465.62025
Bhattacharya, R. N.; Ghosh, J. K.
1980
Some aspects of Edgeworth expansions in statistics and probability. Zbl 0627.62019
Bhattacharya, R. N.
1987
Recent progress in the nonparametric estimation of monotone curves – with applications to bioassay and environmental risk assessment. Zbl 1468.62027
Bhattacharya, Rabi; Lin, Lizhen
2013
Problems of ruin and survival in economics: applications of limit theorems in probability. Zbl 1309.91074
Bhattacharya, Rabi; Majumdar, Mukul; Lin, Lizhen
2013
Random iterates of monotone maps. Zbl 1218.37069
Bhattacharya, Rabi; Majumdar, Mukul
2010
Estimating the probability mass of unobserved support in random sampling. Zbl 0963.62040
Almudevar, A.; Bhattacharya, R. N.; Sastri, C. C. A.
2000
Convergence to equilibrium of random dynamical systems generated by i.i.d. monotone maps, with applications to economics. Zbl 1069.37514
Bhattacharya, Rabi; Majumdar, Mukul
1999
On classical limit theorems for diffusions. Zbl 0586.60074
Bhattacharya, R. N.
1982
Nonparametric inference on manifolds. With applications to shape spaces. Reprint of the 2012 hardback ed. Zbl 1371.62001
Bhattacharya, Abhishek; Bhattacharya, Rabi
2015
On moment conditions for valid formal Edgeworth expansions. Zbl 0702.62013
Bhattacharya, Rabi N.; Ghosh, J. K.
1989
Random iteration of i. i. d. quadratic maps. Zbl 0969.60072
Athreya, K. B.; Bhattacharya, R. N.
2000
Iterated random maps and some classes of Markov processes. Zbl 0982.60070
Bhattacharya, Rabi; Waymire, Edward C.
2001
On characterizing the probability of survival in a large competitive economy. Zbl 1004.91053
Bhattacharya, Rabi N.; Majumdar, Mukul
2001
Markov processes and their applications. Zbl 1006.60068
Bhattacharya, Rabi
2001
Rates of weak convergence for the multidimensional central limit theorem. Zbl 0196.21103
Bhattacharya, R. N.
1970
Dynamical systems subject to random shocks: An introduction. Zbl 1175.91102
Bhattacharya, Rabi; Majumdar, Mukul
2004
On the central limit theorem for diffusions with almost periodic coefficients. Zbl 0648.60081
Bhattacharya, Rabi N.; Ramasubramanian, S.
1988
Ruin probabilities in models of resource management and insurance: a synthesis. Zbl 1398.91311
Bhattacharya, Rabi; Majumdar, Mukul
2015
Nonparametric analysis of non-Euclidean data on shapes and images. Zbl 1418.60014
Bhattacharya, Rabi; Oliver, Rachel
2019
Nonparametric analysis of non-Euclidean data on shapes and images. Zbl 1418.60014
Bhattacharya, Rabi; Oliver, Rachel
2019
Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces. Zbl 1353.60019
Bhattacharya, Rabi; Lin, Lizhen
2017
A course in mathematical statistics and large sample theory. Zbl 1358.62002
Bhattacharya, Rabi; Lin, Lizhen; Patrangenaru, Victor
2016
A basic course in probability theory. 2nd edition. Zbl 1357.60001
Bhattacharya, Rabi; Waymire, Edward C.
2016
Nonparametric inference on manifolds. With applications to shape spaces. Reprint of the 2012 hardback ed. Zbl 1371.62001
Bhattacharya, Abhishek; Bhattacharya, Rabi
2015
Ruin probabilities in models of resource management and insurance: a synthesis. Zbl 1398.91311
Bhattacharya, Rabi; Majumdar, Mukul
2015
Statistics on manifolds and landmarks based image analysis: a nonparametric theory with applications. Zbl 1278.62068
Bhattacharya, Rabi; Patrangenaru, Vic
2014
A nonparametric theory of statistics on manifolds. Zbl 1280.62057
Bhattacharya, Rabi
2013
Recent progress in the nonparametric estimation of monotone curves – with applications to bioassay and environmental risk assessment. Zbl 1468.62027
Bhattacharya, Rabi; Lin, Lizhen
2013
Problems of ruin and survival in economics: applications of limit theorems in probability. Zbl 1309.91074
Bhattacharya, Rabi; Majumdar, Mukul; Lin, Lizhen
2013
Nonparametric inference on manifolds. With applications to shape spaces. Zbl 1273.62014
Bhattacharya, Abhishek; Bhattacharya, Rabi
2012
Nonparametric benchmark analysis in risk assessment: a comparative study by simulation and data analysis. Zbl 1271.62062
Bhattacharya, Rabi; Lin, Lizhen
2011
Normal approximation and asymptotic expansions. Updated republication of the 1986 reprint published by Robert E. Krieger Publ. Co. Zbl 1222.41002
Bhattacharya, R. N.; Ranga Rao, R.
2010
Limit theorems for monotone Markov processes. Zbl 1209.60016
Bhattacharya, Rabi; Majumdar, Mukul; Hashimzade, Nigar
2010
An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies. Zbl 1202.62145
Bhattacharya, Rabi; Lin, Lizhen
2010
Random iterates of monotone maps. Zbl 1218.37069
Bhattacharya, Rabi; Majumdar, Mukul
2010
Stochastic processes with applications. Reprint of the 1990 original ed. Zbl 1171.60333
Bhattacharya, Rabi N.; Waymire, Edward C.
2009
Nonparametric inference for extrinsic means on size-and-(reflection)-shape manifolds with applications in medical imaging. Zbl 1171.62028
Bandulasiri, Ananda; Bhattacharya, Rabi N.; Patrangenaru, Vic
2009
Statistics on Riemannian manifolds: asymptotic distribution and curvature. Zbl 1274.62337
Bhattacharya, Abhishek; Bhattacharya, Rabi
2008
Random dynamical systems. Theory and applications. Zbl 1114.37027
Bhattacharya, Rabi; Majumdar, Mukul
2007
A basic course in probability theory. Zbl 1138.60001
Bhattacharya, Rabi N.; Waymire, Edward C.
2007
Consistency and asymptotic normality of the estimated effective doses in bioassay. Zbl 1104.62117
Bhattacharya, Rabi; Kong, Maiying
2007
Large sample theory of intrinsic and extrinsic sample means on manifolds. II. Zbl 1072.62033
Bhattacharya, Rabi; Patrangenaru, Vic
2005
Semi-Markov cascade representations of local solutions to 3-D incompressible Navier-Stokes. Zbl 1104.35027
Bhattacharya, Rabi; Chen, Larry; Guenther, Ronald B.; Orum, Chris; Ossiander, Mina; Thomann, Enrique; Waymire, Edward C.
2005
Random dynamical systems: a review. Zbl 1175.91103
Bhattacharya, Rabi; Majumdar, Mukul
2004
Stability in distribution of randomly perturbed quadratic maps as Markov processes. Zbl 1065.60090
Bhattacharya, Rabi; Majumdar, Mukul
2004
Dynamical systems subject to random shocks: An introduction. Zbl 1175.91102
Bhattacharya, Rabi; Majumdar, Mukul
2004
Large sample theory of intrinsic and extrinsic sample means on manifolds. I. Zbl 1020.62026
Bhattacharya, Rabi; Patrangenaru, Vic
2003
Majorizing kernels and stochastic cascades with applications to incompressible Navier-Stokes equations. Zbl 1031.35115
Bhattacharya, Rabi N.; Chen, Larry; Dobson, Scott; Guenther, Ronald B.; Orum, Chris; Ossiander, Mina; Thomann, Enrique; Waymire, Edward C.
2003
Nonparametic estimation of location and dispersion on Riemannian manifolds. Zbl 1031.62024
Bhattacharya, Rabi; Patrangenaru, Vic
2002
An approach to the existence of unique invariant probabilities for Markov processes. Zbl 1033.60078
Bhattacharya, R. N.; Waymire, E. C.
2002
On a class of stable random dynamical systems: Theory and applications. Zbl 0987.60083
Bhattacharya, Rabi; Majumdar, Mukul
2001
A note on the distribution of integrals of geometric Brownian motion. Zbl 0990.60083
Bhattacharya, Rabi; Thomann, Enrique; Waymire, Edward
2001
Iterated random maps and some classes of Markov processes. Zbl 0982.60070
Bhattacharya, Rabi; Waymire, Edward C.
2001
On characterizing the probability of survival in a large competitive economy. Zbl 1004.91053
Bhattacharya, Rabi N.; Majumdar, Mukul
2001
Markov processes and their applications. Zbl 1006.60068
Bhattacharya, Rabi
2001
Stochastic equivalence of convex ordered distributions and applications. Zbl 0955.60019
Bhattacharjee, M. C.; Bhattacharya, R. N.
2000
Estimating the probability mass of unobserved support in random sampling. Zbl 0963.62040
Almudevar, A.; Bhattacharya, R. N.; Sastri, C. C. A.
2000
Random iteration of i. i. d. quadratic maps. Zbl 0969.60072
Athreya, K. B.; Bhattacharya, R. N.
2000
On a theorem of Dubins and Freedman. Zbl 0961.60064
Bhattacharya, Rabi; Majumdar, Mukul
1999
Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media. Zbl 0956.60080
Bhattacharya, Rabi
1999
Erratum to: On geometric ergodicity of nonlinear autoregressive models. Zbl 0932.60076
Bhattacharya, Rabi; Lee, Chanho
1999
Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Zbl 0962.60045
Bhattacharya, Rabi; Denker, Manfred; Goswami, Alok
1999
Convergence to equilibrium of random dynamical systems generated by i.i.d. monotone maps, with applications to economics. Zbl 1069.37514
Bhattacharya, Rabi; Majumdar, Mukul
1999
Comparisons of chisquare, Edgeworth expansions and bootstrap approximations to the distribution of the frequency chisquare. Zbl 0885.62015
Bhattacharya, R. N.; Chan, N. H.
1996
On geometric ergodicity of nonlinear autoregressive models. Zbl 0830.60059
Bhattacharya, Rabi; Lee, Chanho
1995
Ergodicity of nonlinear first order autoregressive models. Zbl 0815.60059
Bhattacharya, Rabi N.; Lee, Chanho
1995
Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities. Zbl 0841.60065
Bhattacharya, Rabi N.; Götze, Friedrich
1995
Random iterations of two quadratic maps. Zbl 0786.60095
Bhattacharya, Rabi N.; Rao, B. V.
1993
Stability in distribution for a class of singular diffusions. Zbl 0749.60073
Basak, Gopal K.; Bhattacharya, Rabi N.
1992
A class of $$U$$-statistics and asymptotic normality of the number of $$k$$- clusters. Zbl 0764.60025
Bhattacharya, Rabi N.; Ghosh, Jayanta K.
1992
Stochastic processes with applications. Zbl 0744.60032
Bhattacharya, Rabi N.; Waymire, Edward C.
1990
Asymptotic statistics. Zbl 0706.62049
Bhattacharya, Rabi; Denker, Manfred
1990
Stochastic processes with applications. Zbl 0715.60046
Bhattacharya, Rabi N.; Waymire, Edward C.
1990
Second order and $$L^ p$$-comparisons between the boostrap and empirical Edgeworth expansion methodologies. Zbl 0669.62002
Bhattacharya, Rabi; Qumsiyeh, Maher
1989
Controlled semi-Markov models - the discounted case. Zbl 0673.93089
Bhattacharya, Rabi N.; Majumdar, Mukul
1989
Controlled semi-Markov models under long-run average rewards. Zbl 0683.49003
Bhattacharya, Rabi N.; Majumdar, Mukul
1989
Asymptotics of solute dispersion in periodic porous media. Zbl 0664.60079
Bhattacharya, R. N.; Gupta, V. K.; Walker, H. F.
1989
On moment conditions for valid formal Edgeworth expansions. Zbl 0702.62013
Bhattacharya, Rabi N.; Ghosh, J. K.
1989
Asymptotics of a class of Markov processes which are not in general irreducible. Zbl 0652.60028
Bhattacharya, Rabi N.; Lee, Oesook
1988
On moment conditions for valid formal Edgeworth expansions. Zbl 0672.62030
Bhattacharya, Rabi N.; Ghosh, J. K.
1988
Ergodicity and central limit theorems for a class of Markov processes. Zbl 0658.60094
Bhattacharya, Rabi N.; Lee, Oesook
1988
On the central limit theorem for diffusions with almost periodic coefficients. Zbl 0648.60081
Bhattacharya, Rabi N.; Ramasubramanian, S.
1988
Some aspects of Edgeworth expansions in statistics and probability. Zbl 0627.62019
Bhattacharya, R. N.
1987
Normal approximation and asymptotic expansions. (Reprint of the 1976 orig. publ. by Wiley, New York. Repr. ed. with corrections & supplemental material). Zbl 0657.41001
Bhattacharya, R. N.; Ranga Rao, R.
1986
A central limit theorem for diffusions with periodic coefficients. Zbl 0575.60075
Bhattacharya, Rabi
1985
Some recent results on Cramér-Edgeworth expansions with applications. Zbl 0588.62029
Bhattacharya, R. N.
1985
On the Taylor-Aris theory of solute transport in a capillary. Zbl 0537.76078
Bhattacharya, R. N.; Gupta, Vijay K.
1984
The Hurst effect under trends. Zbl 0526.60027
Bhattacharya, R. N.; Gupta, Vijay K.; Waymire, Ed
1983
On the order of magnitude of cumulants of von Mises functionals and related statistics. Zbl 0527.62025
Bhattacharya, R. N.; Puri, M. L.
1983
On the functional central limit theorem and the law of the iterated logarithm for Markov processes. Zbl 0468.60034
Bhattacharya, R. N.
1982
Recurrence and ergodicity of diffusions. Zbl 0499.60084
Bhattacharya, R. N.; Ramasubramanian, S.
1982
Normal approximation and asymptotic expansions. (Approksimatsiya normal’nym raspredeleniem i asimptoticheskie razlozheniya). Transl. from the English. Zbl 0514.41002
Bhattacharya, R. N.; Ranga Rao, R.
1982
On classical limit theorems for diffusions. Zbl 0586.60074
Bhattacharya, R. N.
1982
Asymptotic behavior of several dimensional diffusions. Zbl 0464.60035
Bhattacharya, R. N.
1981
Correction to: Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0445.60063
Bhattacharya, R. N.
1980
Correction to: On the validity of the formal Edgeworth expansion. Zbl 0465.62025
Bhattacharya, R. N.; Ghosh, J. K.
1980
On a statistical theory of solute transport in porous media. Zbl 0417.60080
Bhattacharya, R. N.; Gupta, V. K.
1979
On the validity of the formal Edgeworth expansion. Zbl 0396.62010
Bhattacharya, R. N.; Ghosh, J. K.
1978
Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0386.60056
Bhattacharya, R. N.
1978
Refinements of the multidimensional central limit theorem and applications. Zbl 0361.60001
Bhattacharya, R. N.
1977
Normal approximation and asymptotic expansions. Zbl 0331.41023
Bhattacharya, R. N.; Ranga Rao, R.
1976
On errors of normal approximation. Zbl 0319.60013
Bhattacharya, R. N.
1975
Speed of convergence of the n-fold convolution of a probability measure on a compact group. Zbl 0247.60008
Bhattacharya, R. N.
1972
Recent results on refinements of the central limit theorem. Zbl 0266.60010
Bhattacharya, R. N.
1972
Rates of weak convergence and asymptotic expansions for classical central limit theorems. Zbl 0224.60014
Bhattacharya, R. N.
1971
Rates of weak convergence for the multidimensional central limit theorem. Zbl 0216.46302
Bhattacharya, R. N.
1970
Rates of weak convergence for the multidimensional central limit theorem. Zbl 0196.21103
Bhattacharya, R. N.
1970
Berry-Esseen bounds for the multi-dimensional central limit theorem. Zbl 0179.48102
Bhattacharya, R. N.
1968
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### Cited by 1,676 Authors

 35 Bhattacharya, Rabi N. 19 Lahiri, Soumendra Nath 19 Patrangenaru, Victor 16 Götze, Friedrich 16 Huckemann, Stephan F. 16 Kakizawa, Yoshihide 16 Withers, Christopher Stroude 14 Nadarajah, Saralees 13 Basak, Gopal Krishna 13 Hall, Peter Gavin 13 Waymire, Edward C. 10 Babu, Gutti Jogesh 10 Lin, Lizhen 10 Sunklodas, Jonas Kazys 10 Thomann, Enrique A. 9 Bobkov, Sergey Germanovich 8 Bose, Arup 8 Majumdar, Mukul K. 8 Stoltz, Gabriel 7 Bentkus, Vidmants-Kastytis 7 Eltzner, Benjamin 7 Ghosh, Mrinal Kanti 7 Hernández-Lerma, Onésimo 7 Ivanov, Aleksandr Vladimirovich 7 Lee, Oesook 7 Mitra, Tapan 7 Pagès, Gilles 7 Xu, Jin 6 Busemeyer, Jerome R. 6 Dryden, Ian L. 6 Fujikoshi, Yasunori 6 Korolev, Viktor Yur’evich 6 Marron, James Stephen 6 Mukerjee, Rahul 6 Panloup, Fabien 6 Sandrić, Nikola 6 Sekiya, Yuri 6 Stachurski, John 6 Taneichi, Nobuhiro 5 Bigot, Jéremie 5 Borkar, Vivek Shripad 5 Chistyakov, Gennadiy P. 5 Gupta, Arjun Kumar 5 Harrar, Solomon W. 5 Heinrich, Lothar 5 Horváth, Lajos 5 Hwang, Chii-Ruey 5 Iwashita, Toshiya 5 Jaśkiewicz, Anna 5 Kamihigashi, Takashi 5 Konakov, Valentin 5 Le, Huiling 5 Li, Qi 5 Mammen, Enno 5 Mirakhmedov, Sherzod Mira’zam 5 Nowak, Andrzej S. 5 Pap, Gyula 5 Wefelmeyer, Wolfgang 5 Weinmann, Andreas 5 Wood, Andrew T. A. 5 Zeitouni, Ofer 4 Barczy, Mátyás 4 Bhattacharya, Abhishek 4 Bloznelis, Mindaugas 4 Dunson, David Brian 4 Ellingson, Leif 4 Glynn, Peter W. 4 Hipp, Christian 4 Hotz, Thomas 4 Jensen, Jens Ledet 4 Jing, Bingyi 4 Kokoszka, Piotr S. 4 Lee, Chanho 4 Menozzi, Stéphane 4 Müller, Hans-Georg 4 Paditz, Ludwig 4 Pavliotis, Grigorios A. 4 Qumsiyeh, Maher B. 4 Rásonyi, Miklós 4 Rilstone, Paul 4 Simó, Amelia 4 Storath, Martin 4 Taniguchi, Masanobu 4 Tong, Jinying 4 Zhang, Zhenzhong 3 Acebrón, Juan A. 3 Akahira, Masafumi 3 Andrews, Donald Wilfrid Kao 3 Chandra, Tapas Kumar 3 Chen, Jiahua 3 Chen, Songxi 3 Cordeiro, Gauss Moutinho 3 Cox, J. Theodore 3 Das, Debraj 3 Dascaliuc, Radu 3 Demos, Antonis 3 Denker, Manfred 3 Diaconis, Persi Warren 3 Diederich, Adele 3 Dubinskaitė, Jone ...and 1,576 more Authors
all top 5

### Cited in 273 Serials

 78 Journal of Multivariate Analysis 72 Statistics & Probability Letters 57 Journal of Statistical Planning and Inference 56 The Annals of Statistics 48 Stochastic Processes and their Applications 38 Journal of Econometrics 37 Communications in Statistics. Theory and Methods 36 Probability Theory and Related Fields 28 Annals of the Institute of Statistical Mathematics 28 The Annals of Applied Probability 26 The Annals of Probability 21 Lithuanian Mathematical Journal 21 Journal of Theoretical Probability 20 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 19 Statistics 16 Journal of Mathematical Analysis and Applications 15 Bernoulli 14 Journal of Time Series Analysis 12 Journal of Economic Theory 12 Transactions of the American Mathematical Society 12 Stochastic Analysis and Applications 11 Journal of Statistical Physics 10 Metrika 10 Journal of Mathematical Economics 9 Proceedings of the American Mathematical Society 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Computational Statistics and Data Analysis 9 Electronic Journal of Statistics 8 Communications in Mathematical Physics 8 Scandinavian Journal of Statistics 8 Ukrainian Mathematical Journal 8 Journal of the American Statistical Association 8 Journal of Applied Probability 8 Journal of Mathematical Psychology 8 Journal of Soviet Mathematics 8 Mathematische Nachrichten 8 Stochastics and Dynamics 7 Advances in Applied Probability 7 The Canadian Journal of Statistics 7 Communications in Statistics. Simulation and Computation 7 Journal of Statistical Computation and Simulation 7 Journal of Mathematical Sciences (New York) 7 Econometric Theory 7 Stochastic Models 7 Sankhyā. Series A 6 Nonlinearity 6 Electronic Journal of Probability 6 Journal of Nonparametric Statistics 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 5 Journal of Computational Physics 5 Theory of Probability and its Applications 5 Kybernetika 5 Systems & Control Letters 5 Journal of Mathematical Imaging and Vision 5 Statistical Papers 5 Journal of Applied Statistics 5 Methodology and Computing in Applied Probability 5 Stochastics 5 Statistical Methodology 4 Applied Mathematics and Optimization 4 Journal of Approximation Theory 4 Journal of Differential Equations 4 Journal of Optimization Theory and Applications 4 Scandinavian Actuarial Journal 4 Insurance Mathematics & Economics 4 Acta Applicandae Mathematicae 4 Journal of Economic Dynamics & Control 4 Annals of Operations Research 4 Test 4 International Journal of Computer Vision 4 Statistical Inference for Stochastic Processes 3 Journal of Mathematical Biology 3 Journal of Mathematical Physics 3 Mathematical Notes 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Biometrical Journal 3 Mathematics of Operations Research 3 Mathematical Social Sciences 3 American Journal of Mathematical and Management Sciences 3 Acta Mathematicae Applicatae Sinica. English Series 3 Sequential Analysis 3 Statistical Science 3 Queueing Systems 3 Pattern Recognition 3 SIAM Journal on Optimization 3 Computational Optimization and Applications 3 Mathematical Methods of Statistics 3 Journal of Difference Equations and Applications 3 Doklady Mathematics 3 Brazilian Journal of Probability and Statistics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Multiscale Modeling & Simulation 3 Mathematical Biosciences and Engineering 3 The Annals of Applied Statistics 3 SIAM Journal on Imaging Sciences 3 Sankhyā. Series B 3 Statistics and Computing 3 Bayesian Analysis 3 SIAM/ASA Journal on Uncertainty Quantification 3 SIAM Journal on Mathematics of Data Science ...and 173 more Serials
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### Cited in 52 Fields

 661 Probability theory and stochastic processes (60-XX) 647 Statistics (62-XX) 109 Numerical analysis (65-XX) 101 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 60 Partial differential equations (35-XX) 54 Dynamical systems and ergodic theory (37-XX) 53 Operations research, mathematical programming (90-XX) 44 Systems theory; control (93-XX) 40 Biology and other natural sciences (92-XX) 35 Statistical mechanics, structure of matter (82-XX) 33 Fluid mechanics (76-XX) 31 Computer science (68-XX) 29 Differential geometry (53-XX) 26 Operator theory (47-XX) 22 Information and communication theory, circuits (94-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 18 Ordinary differential equations (34-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 12 Measure and integration (28-XX) 11 Combinatorics (05-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Quantum theory (81-XX) 9 Number theory (11-XX) 8 Approximations and expansions (41-XX) 8 Geophysics (86-XX) 7 Difference and functional equations (39-XX) 6 Potential theory (31-XX) 6 Abstract harmonic analysis (43-XX) 5 Real functions (26-XX) 4 Group theory and generalizations (20-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Functional analysis (46-XX) 4 General topology (54-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Topological groups, Lie groups (22-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX)

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