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Bhattacharya, Rabi N.

Author ID: bhattacharya.rabi-n Recent zbMATH articles by "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: 114 Publications since 1957, including 17 Books
Biographic References: 1 Publication
Co-Authors: 35 Co-Authors with 80 Joint Publications
863 Co-Co-Authors
all top 5

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 Graduate Texts in 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 International Journal of Economic Theory
1 Annals of Mathematical Statistics
1 Springer Texts in Statistics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Pure and Applied Functional Analysis
1 Contemporary Mathematicians

Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 1,879 times in 1,452 Documents Cited by Year
Normal approximation and asymptotic expansions. Zbl 0331.41023
Bhattacharya, R. N.; Ranga Rao, R.
374
1976
On the validity of the formal Edgeworth expansion. Zbl 0396.62010
Bhattacharya, R. N.; Ghosh, J. K.
224
1978
Large sample theory of intrinsic and extrinsic sample means on manifolds. I. Zbl 1020.62026
Bhattacharya, Rabi; Patrangenaru, Vic
134
2003
On the functional central limit theorem and the law of the iterated logarithm for Markov processes. Zbl 0468.60034
Bhattacharya, R. N.
100
1982
Large sample theory of intrinsic and extrinsic sample means on manifolds. II. Zbl 1072.62033
Bhattacharya, Rabi; Patrangenaru, Vic
90
2005
Stochastic processes with applications. Zbl 0744.60032
Bhattacharya, Rabi N.; Waymire, Edward C.
81
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.
63
1986
Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0386.60056
Bhattacharya, R. N.
45
1978
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.
44
2010
Stability in distribution for a class of singular diffusions. Zbl 0749.60073
Basak, Gopal K.; Bhattacharya, Rabi N.
42
1992
The Hurst effect under trends. Zbl 0526.60027
Bhattacharya, R. N.; Gupta, Vijay K.; Waymire, Ed
39
1983
Random dynamical systems. Theory and applications. Zbl 1114.37027
Bhattacharya, Rabi; Majumdar, Mukul
37
2007
Nonparametric inference on manifolds. With applications to shape spaces. Zbl 1273.62014
Bhattacharya, Abhishek; Bhattacharya, Rabi
31
2012
On geometric ergodicity of nonlinear autoregressive models. Zbl 0830.60059
Bhattacharya, Rabi; Lee, Chanho
29
1995
Asymptotics of a class of Markov processes which are not in general irreducible. Zbl 0652.60028
Bhattacharya, Rabi N.; Lee, Oesook
25
1988
A central limit theorem for diffusions with periodic coefficients. Zbl 0575.60075
Bhattacharya, Rabi
25
1985
Stochastic processes with applications. Reprint of the 1990 original ed. Zbl 1171.60333
Bhattacharya, Rabi N.; Waymire, Edward C.
24
2009
Nonparametic estimation of location and dispersion on Riemannian manifolds. Zbl 1031.62024
Bhattacharya, Rabi; Patrangenaru, Vic
23
2002
A basic course in probability theory. Zbl 1138.60001
Bhattacharya, Rabi N.; Waymire, Edward C.
22
2007
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.
21
2003
Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces. Zbl 1353.60019
Bhattacharya, Rabi; Lin, Lizhen
20
2017
Speed of convergence of the n-fold convolution of a probability measure on a compact group. Zbl 0247.60008
Bhattacharya, R. N.
17
1972
Refinements of the multidimensional central limit theorem and applications. Zbl 0361.60001
Bhattacharya, R. N.
16
1977
Asymptotic statistics. Zbl 0706.62049
Bhattacharya, Rabi; Denker, Manfred
16
1990
Second order and \(L^ p\)-comparisons between the boostrap and empirical Edgeworth expansion methodologies. Zbl 0669.62002
Bhattacharya, Rabi; Qumsiyeh, Maher
15
1989
Controlled semi-Markov models - the discounted case. Zbl 0673.93089
Bhattacharya, Rabi N.; Majumdar, Mukul
15
1989
Stochastic processes with applications. Zbl 0715.60046
Bhattacharya, Rabi N.; Waymire, Edward C.
15
1990
Ergodicity of nonlinear first order autoregressive models. Zbl 0815.60059
Bhattacharya, Rabi N.; Lee, Chanho
15
1995
Controlled semi-Markov models under long-run average rewards. Zbl 0683.49003
Bhattacharya, Rabi N.; Majumdar, Mukul
14
1989
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
14
2009
Asymptotics of solute dispersion in periodic porous media. Zbl 0664.60079
Bhattacharya, R. N.; Gupta, V. K.; Walker, H. F.
12
1989
Statistics on Riemannian manifolds: asymptotic distribution and curvature. Zbl 1274.62337
Bhattacharya, Abhishek; Bhattacharya, Rabi
11
2008
On a class of stable random dynamical systems: Theory and applications. Zbl 0987.60083
Bhattacharya, Rabi; Majumdar, Mukul
10
2001
A course in mathematical statistics and large sample theory. Zbl 1358.62002
Bhattacharya, Rabi; Lin, Lizhen; Patrangenaru, Victor
10
2016
A class of \(U\)-statistics and asymptotic normality of the number of \(k\)- clusters. Zbl 0764.60025
Bhattacharya, Rabi N.; Ghosh, Jayanta K.
9
1992
Statistics on manifolds and landmarks based image analysis: a nonparametric theory with applications. Zbl 1278.62068
Bhattacharya, Rabi; Patrangenaru, Vic
9
2014
Recurrence and ergodicity of diffusions. Zbl 0499.60084
Bhattacharya, R. N.; Ramasubramanian, S.
9
1982
Consistency and asymptotic normality of the estimated effective doses in bioassay. Zbl 1104.62117
Bhattacharya, Rabi; Kong, Maiying
9
2007
Random iterations of two quadratic maps. Zbl 0786.60095
Bhattacharya, Rabi N.; Rao, B. V.
9
1993
Rates of weak convergence for the multidimensional central limit theorem. Zbl 0216.46302
Bhattacharya, R. N.
8
1970
Some recent results on Cramér-Edgeworth expansions with applications. Zbl 0588.62029
Bhattacharya, R. N.
7
1985
A basic course in probability theory. 2nd edition. Zbl 1357.60001
Bhattacharya, Rabi; Waymire, Edward C.
7
2016
On moment conditions for valid formal Edgeworth expansions. Zbl 0672.62030
Bhattacharya, Rabi N.; Ghosh, J. K.
6
1988
Random dynamical systems: a review. Zbl 1175.91103
Bhattacharya, Rabi; Majumdar, Mukul
6
2004
Stochastic equivalence of convex ordered distributions and applications. Zbl 0955.60019
Bhattacharjee, M. C.; Bhattacharya, R. N.
6
2000
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.
5
1982
On a theorem of Dubins and Freedman. Zbl 0961.60064
Bhattacharya, Rabi; Majumdar, Mukul
5
1999
Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media. Zbl 0956.60080
Bhattacharya, Rabi
5
1999
Erratum to: On geometric ergodicity of nonlinear autoregressive models. Zbl 0932.60076
Bhattacharya, Rabi; Lee, Chanho
5
1999
Correction to: Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0445.60063
Bhattacharya, R. N.
5
1980
Recent results on refinements of the central limit theorem. Zbl 0266.60010
Bhattacharya, R. N.
5
1972
Rates of weak convergence and asymptotic expansions for classical central limit theorems. Zbl 0224.60014
Bhattacharya, R. N.
5
1971
On the Taylor-Aris theory of solute transport in a capillary. Zbl 0537.76078
Bhattacharya, R. N.; Gupta, Vijay K.
4
1984
Ergodicity and central limit theorems for a class of Markov processes. Zbl 0658.60094
Bhattacharya, Rabi N.; Lee, Oesook
4
1988
Nonparametric benchmark analysis in risk assessment: a comparative study by simulation and data analysis. Zbl 1271.62062
Bhattacharya, Rabi; Lin, Lizhen
4
2011
On errors of normal approximation. Zbl 0319.60013
Bhattacharya, R. N.
4
1975
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.
4
2005
An approach to the existence of unique invariant probabilities for Markov processes. Zbl 1033.60078
Bhattacharya, R. N.; Waymire, E. C.
4
2002
Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Zbl 0962.60045
Bhattacharya, Rabi; Denker, Manfred; Goswami, Alok
4
1999
Berry-Esseen bounds for the multi-dimensional central limit theorem. Zbl 0179.48102
Bhattacharya, R. N.
4
1968
A note on the distribution of integrals of geometric Brownian motion. Zbl 0990.60083
Bhattacharya, Rabi; Thomann, Enrique; Waymire, Edward
4
2001
An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies. Zbl 1202.62145
Bhattacharya, Rabi; Lin, Lizhen
4
2010
Limit theorems for monotone Markov processes. Zbl 1209.60016
Bhattacharya, Rabi; Majumdar, Mukul; Hashimzade, Nigar
4
2010
On the order of magnitude of cumulants of von Mises functionals and related statistics. Zbl 0527.62025
Bhattacharya, R. N.; Puri, M. L.
3
1983
On a statistical theory of solute transport in porous media. Zbl 0417.60080
Bhattacharya, R. N.; Gupta, V. K.
3
1979
Correction to: On the validity of the formal Edgeworth expansion. Zbl 0465.62025
Bhattacharya, R. N.; Ghosh, J. K.
3
1980
Stability in distribution of randomly perturbed quadratic maps as Markov processes. Zbl 1065.60090
Bhattacharya, Rabi; Majumdar, Mukul
3
2004
Comparisons of chisquare, Edgeworth expansions and bootstrap approximations to the distribution of the frequency chisquare. Zbl 0885.62015
Bhattacharya, R. N.; Chan, N. H.
3
1996
Recent progress in the nonparametric estimation of monotone curves – with applications to bioassay and environmental risk assessment. Zbl 1468.62027
Bhattacharya, Rabi; Lin, Lizhen
2
2013
Some aspects of Edgeworth expansions in statistics and probability. Zbl 0627.62019
Bhattacharya, R. N.
2
1987
A nonparametric theory of statistics on manifolds. Zbl 1280.62057
Bhattacharya, Rabi
2
2013
Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities. Zbl 0841.60065
Bhattacharya, Rabi N.; Götze, Friedrich
2
1995
Asymptotic behavior of several dimensional diffusions. Zbl 0464.60035
Bhattacharya, R. N.
2
1981
Rates of weak convergence for the multidimensional central limit theorem. Zbl 0196.21103
Bhattacharya, R. N.
2
1970
On the central limit theorem for diffusions with almost periodic coefficients. Zbl 0648.60081
Bhattacharya, Rabi N.; Ramasubramanian, S.
1
1988
Problems of ruin and survival in economics: applications of limit theorems in probability. Zbl 1309.91074
Bhattacharya, Rabi; Majumdar, Mukul; Lin, Lizhen
1
2013
Ruin probabilities in models of resource management and insurance: a synthesis. Zbl 1398.91311
Bhattacharya, Rabi; Majumdar, Mukul
1
2015
On classical limit theorems for diffusions. Zbl 0586.60074
Bhattacharya, R. N.
1
1982
On moment conditions for valid formal Edgeworth expansions. Zbl 0702.62013
Bhattacharya, Rabi N.; Ghosh, J. K.
1
1989
Nonparametric analysis of non-Euclidean data on shapes and images. Zbl 1418.60014
Bhattacharya, Rabi; Oliver, Rachel
1
2019
Iterated random maps and some classes of Markov processes. Zbl 0982.60070
Bhattacharya, Rabi; Waymire, Edward C.
1
2001
On characterizing the probability of survival in a large competitive economy. Zbl 1004.91053
Bhattacharya, Rabi N.; Majumdar, Mukul
1
2001
Nonparametric inference on manifolds. With applications to shape spaces. Reprint of the 2012 hardback ed. Zbl 1371.62001
Bhattacharya, Abhishek; Bhattacharya, Rabi
1
2015
Dynamical systems subject to random shocks: An introduction. Zbl 1175.91102
Bhattacharya, Rabi; Majumdar, Mukul
1
2004
Estimating the probability mass of unobserved support in random sampling. Zbl 0963.62040
Almudevar, A.; Bhattacharya, R. N.; Sastri, C. C. A.
1
2000
Random iteration of i. i. d. quadratic maps. Zbl 0969.60072
Athreya, K. B.; Bhattacharya, R. N.
1
2000
Markov processes and their applications. Zbl 1006.60068
Bhattacharya, Rabi
1
2001
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
1
1999
Random iterates of monotone maps. Zbl 1218.37069
Bhattacharya, Rabi; Majumdar, Mukul
1
2010
Nonparametric analysis of non-Euclidean data on shapes and images. Zbl 1418.60014
Bhattacharya, Rabi; Oliver, Rachel
1
2019
Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces. Zbl 1353.60019
Bhattacharya, Rabi; Lin, Lizhen
20
2017
A course in mathematical statistics and large sample theory. Zbl 1358.62002
Bhattacharya, Rabi; Lin, Lizhen; Patrangenaru, Victor
10
2016
A basic course in probability theory. 2nd edition. Zbl 1357.60001
Bhattacharya, Rabi; Waymire, Edward C.
7
2016
Ruin probabilities in models of resource management and insurance: a synthesis. Zbl 1398.91311
Bhattacharya, Rabi; Majumdar, Mukul
1
2015
Nonparametric inference on manifolds. With applications to shape spaces. Reprint of the 2012 hardback ed. Zbl 1371.62001
Bhattacharya, Abhishek; Bhattacharya, Rabi
1
2015
Statistics on manifolds and landmarks based image analysis: a nonparametric theory with applications. Zbl 1278.62068
Bhattacharya, Rabi; Patrangenaru, Vic
9
2014
Recent progress in the nonparametric estimation of monotone curves – with applications to bioassay and environmental risk assessment. Zbl 1468.62027
Bhattacharya, Rabi; Lin, Lizhen
2
2013
A nonparametric theory of statistics on manifolds. Zbl 1280.62057
Bhattacharya, Rabi
2
2013
Problems of ruin and survival in economics: applications of limit theorems in probability. Zbl 1309.91074
Bhattacharya, Rabi; Majumdar, Mukul; Lin, Lizhen
1
2013
Nonparametric inference on manifolds. With applications to shape spaces. Zbl 1273.62014
Bhattacharya, Abhishek; Bhattacharya, Rabi
31
2012
Nonparametric benchmark analysis in risk assessment: a comparative study by simulation and data analysis. Zbl 1271.62062
Bhattacharya, Rabi; Lin, Lizhen
4
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.
44
2010
An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies. Zbl 1202.62145
Bhattacharya, Rabi; Lin, Lizhen
4
2010
Limit theorems for monotone Markov processes. Zbl 1209.60016
Bhattacharya, Rabi; Majumdar, Mukul; Hashimzade, Nigar
4
2010
Random iterates of monotone maps. Zbl 1218.37069
Bhattacharya, Rabi; Majumdar, Mukul
1
2010
Stochastic processes with applications. Reprint of the 1990 original ed. Zbl 1171.60333
Bhattacharya, Rabi N.; Waymire, Edward C.
24
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
14
2009
Statistics on Riemannian manifolds: asymptotic distribution and curvature. Zbl 1274.62337
Bhattacharya, Abhishek; Bhattacharya, Rabi
11
2008
Random dynamical systems. Theory and applications. Zbl 1114.37027
Bhattacharya, Rabi; Majumdar, Mukul
37
2007
A basic course in probability theory. Zbl 1138.60001
Bhattacharya, Rabi N.; Waymire, Edward C.
22
2007
Consistency and asymptotic normality of the estimated effective doses in bioassay. Zbl 1104.62117
Bhattacharya, Rabi; Kong, Maiying
9
2007
Large sample theory of intrinsic and extrinsic sample means on manifolds. II. Zbl 1072.62033
Bhattacharya, Rabi; Patrangenaru, Vic
90
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.
4
2005
Random dynamical systems: a review. Zbl 1175.91103
Bhattacharya, Rabi; Majumdar, Mukul
6
2004
Stability in distribution of randomly perturbed quadratic maps as Markov processes. Zbl 1065.60090
Bhattacharya, Rabi; Majumdar, Mukul
3
2004
Dynamical systems subject to random shocks: An introduction. Zbl 1175.91102
Bhattacharya, Rabi; Majumdar, Mukul
1
2004
Large sample theory of intrinsic and extrinsic sample means on manifolds. I. Zbl 1020.62026
Bhattacharya, Rabi; Patrangenaru, Vic
134
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.
21
2003
Nonparametic estimation of location and dispersion on Riemannian manifolds. Zbl 1031.62024
Bhattacharya, Rabi; Patrangenaru, Vic
23
2002
An approach to the existence of unique invariant probabilities for Markov processes. Zbl 1033.60078
Bhattacharya, R. N.; Waymire, E. C.
4
2002
On a class of stable random dynamical systems: Theory and applications. Zbl 0987.60083
Bhattacharya, Rabi; Majumdar, Mukul
10
2001
A note on the distribution of integrals of geometric Brownian motion. Zbl 0990.60083
Bhattacharya, Rabi; Thomann, Enrique; Waymire, Edward
4
2001
Iterated random maps and some classes of Markov processes. Zbl 0982.60070
Bhattacharya, Rabi; Waymire, Edward C.
1
2001
On characterizing the probability of survival in a large competitive economy. Zbl 1004.91053
Bhattacharya, Rabi N.; Majumdar, Mukul
1
2001
Markov processes and their applications. Zbl 1006.60068
Bhattacharya, Rabi
1
2001
Stochastic equivalence of convex ordered distributions and applications. Zbl 0955.60019
Bhattacharjee, M. C.; Bhattacharya, R. N.
6
2000
Estimating the probability mass of unobserved support in random sampling. Zbl 0963.62040
Almudevar, A.; Bhattacharya, R. N.; Sastri, C. C. A.
1
2000
Random iteration of i. i. d. quadratic maps. Zbl 0969.60072
Athreya, K. B.; Bhattacharya, R. N.
1
2000
On a theorem of Dubins and Freedman. Zbl 0961.60064
Bhattacharya, Rabi; Majumdar, Mukul
5
1999
Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media. Zbl 0956.60080
Bhattacharya, Rabi
5
1999
Erratum to: On geometric ergodicity of nonlinear autoregressive models. Zbl 0932.60076
Bhattacharya, Rabi; Lee, Chanho
5
1999
Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Zbl 0962.60045
Bhattacharya, Rabi; Denker, Manfred; Goswami, Alok
4
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
1
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.
3
1996
On geometric ergodicity of nonlinear autoregressive models. Zbl 0830.60059
Bhattacharya, Rabi; Lee, Chanho
29
1995
Ergodicity of nonlinear first order autoregressive models. Zbl 0815.60059
Bhattacharya, Rabi N.; Lee, Chanho
15
1995
Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities. Zbl 0841.60065
Bhattacharya, Rabi N.; Götze, Friedrich
2
1995
Random iterations of two quadratic maps. Zbl 0786.60095
Bhattacharya, Rabi N.; Rao, B. V.
9
1993
Stability in distribution for a class of singular diffusions. Zbl 0749.60073
Basak, Gopal K.; Bhattacharya, Rabi N.
42
1992
A class of \(U\)-statistics and asymptotic normality of the number of \(k\)- clusters. Zbl 0764.60025
Bhattacharya, Rabi N.; Ghosh, Jayanta K.
9
1992
Stochastic processes with applications. Zbl 0744.60032
Bhattacharya, Rabi N.; Waymire, Edward C.
81
1990
Asymptotic statistics. Zbl 0706.62049
Bhattacharya, Rabi; Denker, Manfred
16
1990
Stochastic processes with applications. Zbl 0715.60046
Bhattacharya, Rabi N.; Waymire, Edward C.
15
1990
Second order and \(L^ p\)-comparisons between the boostrap and empirical Edgeworth expansion methodologies. Zbl 0669.62002
Bhattacharya, Rabi; Qumsiyeh, Maher
15
1989
Controlled semi-Markov models - the discounted case. Zbl 0673.93089
Bhattacharya, Rabi N.; Majumdar, Mukul
15
1989
Controlled semi-Markov models under long-run average rewards. Zbl 0683.49003
Bhattacharya, Rabi N.; Majumdar, Mukul
14
1989
Asymptotics of solute dispersion in periodic porous media. Zbl 0664.60079
Bhattacharya, R. N.; Gupta, V. K.; Walker, H. F.
12
1989
On moment conditions for valid formal Edgeworth expansions. Zbl 0702.62013
Bhattacharya, Rabi N.; Ghosh, J. K.
1
1989
Asymptotics of a class of Markov processes which are not in general irreducible. Zbl 0652.60028
Bhattacharya, Rabi N.; Lee, Oesook
25
1988
On moment conditions for valid formal Edgeworth expansions. Zbl 0672.62030
Bhattacharya, Rabi N.; Ghosh, J. K.
6
1988
Ergodicity and central limit theorems for a class of Markov processes. Zbl 0658.60094
Bhattacharya, Rabi N.; Lee, Oesook
4
1988
On the central limit theorem for diffusions with almost periodic coefficients. Zbl 0648.60081
Bhattacharya, Rabi N.; Ramasubramanian, S.
1
1988
Some aspects of Edgeworth expansions in statistics and probability. Zbl 0627.62019
Bhattacharya, R. N.
2
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.
63
1986
A central limit theorem for diffusions with periodic coefficients. Zbl 0575.60075
Bhattacharya, Rabi
25
1985
Some recent results on Cramér-Edgeworth expansions with applications. Zbl 0588.62029
Bhattacharya, R. N.
7
1985
On the Taylor-Aris theory of solute transport in a capillary. Zbl 0537.76078
Bhattacharya, R. N.; Gupta, Vijay K.
4
1984
The Hurst effect under trends. Zbl 0526.60027
Bhattacharya, R. N.; Gupta, Vijay K.; Waymire, Ed
39
1983
On the order of magnitude of cumulants of von Mises functionals and related statistics. Zbl 0527.62025
Bhattacharya, R. N.; Puri, M. L.
3
1983
On the functional central limit theorem and the law of the iterated logarithm for Markov processes. Zbl 0468.60034
Bhattacharya, R. N.
100
1982
Recurrence and ergodicity of diffusions. Zbl 0499.60084
Bhattacharya, R. N.; Ramasubramanian, S.
9
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.
5
1982
On classical limit theorems for diffusions. Zbl 0586.60074
Bhattacharya, R. N.
1
1982
Asymptotic behavior of several dimensional diffusions. Zbl 0464.60035
Bhattacharya, R. N.
2
1981
Correction to: Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0445.60063
Bhattacharya, R. N.
5
1980
Correction to: On the validity of the formal Edgeworth expansion. Zbl 0465.62025
Bhattacharya, R. N.; Ghosh, J. K.
3
1980
On a statistical theory of solute transport in porous media. Zbl 0417.60080
Bhattacharya, R. N.; Gupta, V. K.
3
1979
On the validity of the formal Edgeworth expansion. Zbl 0396.62010
Bhattacharya, R. N.; Ghosh, J. K.
224
1978
Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0386.60056
Bhattacharya, R. N.
45
1978
Refinements of the multidimensional central limit theorem and applications. Zbl 0361.60001
Bhattacharya, R. N.
16
1977
Normal approximation and asymptotic expansions. Zbl 0331.41023
Bhattacharya, R. N.; Ranga Rao, R.
374
1976
On errors of normal approximation. Zbl 0319.60013
Bhattacharya, R. N.
4
1975
Speed of convergence of the n-fold convolution of a probability measure on a compact group. Zbl 0247.60008
Bhattacharya, R. N.
17
1972
Recent results on refinements of the central limit theorem. Zbl 0266.60010
Bhattacharya, R. N.
5
1972
Rates of weak convergence and asymptotic expansions for classical central limit theorems. Zbl 0224.60014
Bhattacharya, R. N.
5
1971
Rates of weak convergence for the multidimensional central limit theorem. Zbl 0216.46302
Bhattacharya, R. N.
8
1970
Rates of weak convergence for the multidimensional central limit theorem. Zbl 0196.21103
Bhattacharya, R. N.
2
1970
Berry-Esseen bounds for the multi-dimensional central limit theorem. Zbl 0179.48102
Bhattacharya, R. N.
4
1968
all top 5

Cited by 1,827 Authors

36 Bhattacharya, Rabi N.
21 Götze, Friedrich
20 Patrangenaru, Victor
19 Lahiri, Soumendra Nath
16 Huckemann, Stephan F.
16 Kakizawa, Yoshihide
16 Withers, Christopher Stroude
15 Waymire, Edward C.
14 Hall, Peter Gavin
14 Nadarajah, Saralees
13 Basak, Gopal Krishna
11 Babu, Gutti Jogesh
11 Lin, Lizhen
11 Sunklodas, Jonas Kazys
11 Thomann, Enrique A.
10 Bobkov, Sergey Germanovich
9 Stoltz, Gabriel
8 Bose, Arup
8 Majumdar, Mukul K.
8 Mitra, Tapan
8 Müller, Hans-Georg
8 Pagès, Gilles
7 Bentkus, Vidmants-Kastytis
7 Eltzner, Benjamin
7 Fujikoshi, Yasunori
7 Ghosh, Mrinal Kanti
7 Hernández-Lerma, Onésimo
7 Hipp, Christian
7 Ivanov, Aleksandr Vladimirovich
7 Korolev, Viktor Yur’evich
7 Lee, Oesook
7 Xu, Jin
6 Borkar, Vivek Shripad
6 Busemeyer, Jerome R.
6 Dryden, Ian L.
6 Marron, James Stephen
6 Mukerjee, Rahul
6 Panloup, Fabien
6 Rásonyi, Miklós
6 Sandrić, Nikola
6 Sekiya, Yuri
6 Stachurski, John
6 Taneichi, Nobuhiro
6 Yoshida, Nakahiro
5 Bigot, Jéremie
5 Bloznelis, Mindaugas
5 Chistyakov, Gennadiy P.
5 Glynn, Peter W.
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 Lin, Zhenhua
5 Mammen, Enno
5 Mirakhmedov, Sherzod Mira’zam
5 Pap, Gyula
5 Pavliotis, Grigorios A.
5 Tong, Jinying
5 Wefelmeyer, Wolfgang
5 Weinmann, Andreas
5 Wood, Andrew T. A.
5 Zeitouni, Ofer
5 Zhang, Zhenzhong
4 Barczy, Mátyás
4 Bhattacharya, Abhishek
4 Dai, Xiongtao
4 Dascaliuc, Radu
4 Denker, Manfred
4 Dunson, David Brian
4 Ellingson, Leif
4 Ghosh, Jayanta Kumar
4 Hotz, Thomas
4 Hounyo, Ulrich
4 Jensen, Jens Ledet
4 Jing, Bingyi
4 Kokoszka, Piotr S.
4 Lee, Chanho
4 Mendes, Rui Vilela
4 Menozzi, Stéphane
4 Nowak, Andrzej S.
4 Paditz, Ludwig
4 Pennec, Xavier
4 Qumsiyeh, Maher B.
4 Rey, Clément
4 Rilstone, Paul
4 Simó, Amelia
4 Storath, Martin
4 Taniguchi, Masanobu
3 Acebrón, Juan A.
3 Akahira, Masafumi
3 Andrews, Donald Wilfrid Kao
3 Asmussen, Søren
3 Bladt, Mogens
...and 1,727 more Authors
all top 5

Cited in 291 Serials

101 Journal of Multivariate Analysis
74 Statistics & Probability Letters
62 The Annals of Statistics
58 Journal of Statistical Planning and Inference
53 Stochastic Processes and their Applications
41 Communications in Statistics. Theory and Methods
40 Journal of Econometrics
39 Probability Theory and Related Fields
29 The Annals of Applied Probability
28 Annals of the Institute of Statistical Mathematics
26 The Annals of Probability
24 Journal of Theoretical Probability
22 Lithuanian Mathematical Journal
20 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
19 Statistics
17 Journal of Mathematical Analysis and Applications
16 Bernoulli
14 Journal of Time Series Analysis
13 Stochastic Analysis and Applications
12 Journal of Economic Theory
12 Transactions of the American Mathematical Society
12 Electronic Journal of Statistics
11 Journal of Statistical Physics
11 Metrika
10 Journal of the American Statistical Association
10 Journal of Mathematical Economics
10 Journal of Mathematical Sciences (New York)
10 Electronic Journal of Probability
9 Ukrainian Mathematical Journal
9 Proceedings of the American Mathematical Society
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 Computational Statistics and Data Analysis
9 Sankhyā. Series A
8 The Canadian Journal of Statistics
8 Communications in Mathematical Physics
8 Scandinavian Journal of Statistics
8 Journal of Applied Probability
8 Journal of Mathematical Psychology
8 Journal of Soviet Mathematics
8 Mathematische Nachrichten
8 Communications in Statistics. Simulation and Computation
8 Econometric Theory
8 Stochastics and Dynamics
7 Advances in Applied Probability
7 Journal of Computational Physics
7 Journal of Statistical Computation and Simulation
7 Journal of Mathematical Imaging and Vision
7 Journal of Nonparametric Statistics
7 Stochastic Models
7 Stochastics
6 Nonlinearity
6 Theory of Probability and its Applications
6 Kybernetika
6 Statistical Papers
6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
6 Journal of Applied Statistics
5 Journal of Approximation Theory
5 Systems & Control Letters
5 Insurance Mathematics & Economics
5 Acta Applicandae Mathematicae
5 Journal of Economic Dynamics & Control
5 Methodology and Computing in Applied Probability
5 Statistical Methodology
4 Applied Mathematics and Computation
4 Applied Mathematics and Optimization
4 Journal of Differential Equations
4 Journal of Optimization Theory and Applications
4 Scandinavian Actuarial Journal
4 Annals of Operations Research
4 Test
4 International Journal of Computer Vision
4 Journal of Difference Equations and Applications
4 Statistical Inference for Stochastic Processes
4 Brazilian Journal of Probability and Statistics
4 Multiscale Modeling & Simulation
4 Mathematical Biosciences and Engineering
3 Archive for Rational Mechanics and Analysis
3 Journal of Mathematical Biology
3 Journal of Mathematical Physics
3 Mathematical Notes
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Automatica
3 Biometrical Journal
3 Journal of Computational and Applied Mathematics
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 Computational Statistics
3 Pattern Recognition
3 SIAM Journal on Optimization
3 Computational Optimization and Applications
3 Mathematical Methods of Statistics
3 Doklady Mathematics
3 Communications in Nonlinear Science and Numerical Simulation
3 Bulletin of the Brazilian Mathematical Society. New Series
3 The Annals of Applied Statistics
...and 191 more Serials
all top 5

Cited in 52 Fields

732 Probability theory and stochastic processes (60-XX)
713 Statistics (62-XX)
116 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
114 Numerical analysis (65-XX)
68 Partial differential equations (35-XX)
63 Dynamical systems and ergodic theory (37-XX)
55 Operations research, mathematical programming (90-XX)
48 Systems theory; control (93-XX)
45 Biology and other natural sciences (92-XX)
38 Statistical mechanics, structure of matter (82-XX)
36 Fluid mechanics (76-XX)
33 Computer science (68-XX)
29 Differential geometry (53-XX)
27 Operator theory (47-XX)
23 Ordinary differential equations (34-XX)
23 Information and communication theory, circuits (94-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
14 Global analysis, analysis on manifolds (58-XX)
13 Quantum theory (81-XX)
12 Combinatorics (05-XX)
12 Measure and integration (28-XX)
12 Approximations and expansions (41-XX)
10 Number theory (11-XX)
8 Geophysics (86-XX)
7 Real functions (26-XX)
7 Potential theory (31-XX)
7 Difference and functional equations (39-XX)
6 Abstract harmonic analysis (43-XX)
6 Functional analysis (46-XX)
4 Group theory and generalizations (20-XX)
4 Topological groups, Lie groups (22-XX)
4 Functions of a complex variable (30-XX)
4 Special functions (33-XX)
4 General topology (54-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Geometry (51-XX)
3 Algebraic topology (55-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)

Citations by Year

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