Edit Profile (opens in new tab) Bhattacharya, Rabi N. Co-Author Distance Author ID: bhattacharya.rabi-n Published as: Bhattacharya, Rabi; Bhattacharya, R. N.; Bhattacharya, Rabi N. more...less 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 Co-Authors 30 single-authored 15 Majumdar, Mukul K. 14 Waymire, Edward C. 8 Lin, Lizhen 7 Patrangenaru, Victor 5 Ghosh, Jayanta Kumar 4 Gupta, Vijay K. 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 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 all top 5 Fields 75 Probability theory and stochastic processes (60-XX) 34 Statistics (62-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Dynamical systems and ergodic theory (37-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) Publications by Year all cited Publications top 5 cited Publications 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 0331.41023Bhattacharya, R. N.; Ranga Rao, R. 374 1976 On the validity of the formal Edgeworth expansion. Zbl 0396.62010Bhattacharya, R. N.; Ghosh, J. K. 224 1978 Large sample theory of intrinsic and extrinsic sample means on manifolds. I. Zbl 1020.62026Bhattacharya, Rabi; Patrangenaru, Vic 134 2003 On the functional central limit theorem and the law of the iterated logarithm for Markov processes. Zbl 0468.60034Bhattacharya, R. N. 100 1982 Large sample theory of intrinsic and extrinsic sample means on manifolds. II. Zbl 1072.62033Bhattacharya, Rabi; Patrangenaru, Vic 90 2005 Stochastic processes with applications. Zbl 0744.60032Bhattacharya, 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 0657.41001Bhattacharya, R. N.; Ranga Rao, R. 63 1986 Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0386.60056Bhattacharya, R. N. 45 1978 Normal approximation and asymptotic expansions. Updated republication of the 1986 reprint published by Robert E. Krieger Publ. Co. Zbl 1222.41002Bhattacharya, R. N.; Ranga Rao, R. 44 2010 Stability in distribution for a class of singular diffusions. Zbl 0749.60073Basak, Gopal K.; Bhattacharya, Rabi N. 42 1992 The Hurst effect under trends. Zbl 0526.60027Bhattacharya, R. N.; Gupta, Vijay K.; Waymire, Ed 39 1983 Random dynamical systems. Theory and applications. Zbl 1114.37027Bhattacharya, Rabi; Majumdar, Mukul 37 2007 Nonparametric inference on manifolds. With applications to shape spaces. Zbl 1273.62014Bhattacharya, Abhishek; Bhattacharya, Rabi 31 2012 On geometric ergodicity of nonlinear autoregressive models. Zbl 0830.60059Bhattacharya, Rabi; Lee, Chanho 29 1995 Asymptotics of a class of Markov processes which are not in general irreducible. Zbl 0652.60028Bhattacharya, Rabi N.; Lee, Oesook 25 1988 A central limit theorem for diffusions with periodic coefficients. Zbl 0575.60075Bhattacharya, Rabi 25 1985 Stochastic processes with applications. Reprint of the 1990 original ed. Zbl 1171.60333Bhattacharya, Rabi N.; Waymire, Edward C. 24 2009 Nonparametic estimation of location and dispersion on Riemannian manifolds. Zbl 1031.62024Bhattacharya, Rabi; Patrangenaru, Vic 23 2002 A basic course in probability theory. Zbl 1138.60001Bhattacharya, Rabi N.; Waymire, Edward C. 22 2007 Majorizing kernels and stochastic cascades with applications to incompressible Navier-Stokes equations. Zbl 1031.35115Bhattacharya, 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 1353.60019Bhattacharya, Rabi; Lin, Lizhen 20 2017 Speed of convergence of the n-fold convolution of a probability measure on a compact group. Zbl 0247.60008Bhattacharya, R. N. 17 1972 Refinements of the multidimensional central limit theorem and applications. Zbl 0361.60001Bhattacharya, R. N. 16 1977 Asymptotic statistics. Zbl 0706.62049Bhattacharya, Rabi; Denker, Manfred 16 1990 Second order and \(L^ p\)-comparisons between the boostrap and empirical Edgeworth expansion methodologies. Zbl 0669.62002Bhattacharya, Rabi; Qumsiyeh, Maher 15 1989 Controlled semi-Markov models - the discounted case. Zbl 0673.93089Bhattacharya, Rabi N.; Majumdar, Mukul 15 1989 Stochastic processes with applications. Zbl 0715.60046Bhattacharya, Rabi N.; Waymire, Edward C. 15 1990 Ergodicity of nonlinear first order autoregressive models. Zbl 0815.60059Bhattacharya, Rabi N.; Lee, Chanho 15 1995 Controlled semi-Markov models under long-run average rewards. Zbl 0683.49003Bhattacharya, Rabi N.; Majumdar, Mukul 14 1989 Nonparametric inference for extrinsic means on size-and-(reflection)-shape manifolds with applications in medical imaging. Zbl 1171.62028Bandulasiri, Ananda; Bhattacharya, Rabi N.; Patrangenaru, Vic 14 2009 Asymptotics of solute dispersion in periodic porous media. Zbl 0664.60079Bhattacharya, R. N.; Gupta, V. K.; Walker, H. F. 12 1989 Statistics on Riemannian manifolds: asymptotic distribution and curvature. Zbl 1274.62337Bhattacharya, Abhishek; Bhattacharya, Rabi 11 2008 On a class of stable random dynamical systems: Theory and applications. Zbl 0987.60083Bhattacharya, Rabi; Majumdar, Mukul 10 2001 A course in mathematical statistics and large sample theory. Zbl 1358.62002Bhattacharya, Rabi; Lin, Lizhen; Patrangenaru, Victor 10 2016 A class of \(U\)-statistics and asymptotic normality of the number of \(k\)- clusters. Zbl 0764.60025Bhattacharya, Rabi N.; Ghosh, Jayanta K. 9 1992 Statistics on manifolds and landmarks based image analysis: a nonparametric theory with applications. Zbl 1278.62068Bhattacharya, Rabi; Patrangenaru, Vic 9 2014 Recurrence and ergodicity of diffusions. Zbl 0499.60084Bhattacharya, R. N.; Ramasubramanian, S. 9 1982 Consistency and asymptotic normality of the estimated effective doses in bioassay. Zbl 1104.62117Bhattacharya, Rabi; Kong, Maiying 9 2007 Random iterations of two quadratic maps. Zbl 0786.60095Bhattacharya, Rabi N.; Rao, B. V. 9 1993 Rates of weak convergence for the multidimensional central limit theorem. Zbl 0216.46302Bhattacharya, R. N. 8 1970 Some recent results on Cramér-Edgeworth expansions with applications. Zbl 0588.62029Bhattacharya, R. N. 7 1985 A basic course in probability theory. 2nd edition. Zbl 1357.60001Bhattacharya, Rabi; Waymire, Edward C. 7 2016 On moment conditions for valid formal Edgeworth expansions. Zbl 0672.62030Bhattacharya, Rabi N.; Ghosh, J. K. 6 1988 Random dynamical systems: a review. Zbl 1175.91103Bhattacharya, Rabi; Majumdar, Mukul 6 2004 Stochastic equivalence of convex ordered distributions and applications. Zbl 0955.60019Bhattacharjee, M. C.; Bhattacharya, R. N. 6 2000 Normal approximation and asymptotic expansions. (Approksimatsiya normal’nym raspredeleniem i asimptoticheskie razlozheniya). Transl. from the English. Zbl 0514.41002Bhattacharya, R. N.; Ranga Rao, R. 5 1982 On a theorem of Dubins and Freedman. Zbl 0961.60064Bhattacharya, Rabi; Majumdar, Mukul 5 1999 Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media. Zbl 0956.60080Bhattacharya, Rabi 5 1999 Erratum to: On geometric ergodicity of nonlinear autoregressive models. Zbl 0932.60076Bhattacharya, Rabi; Lee, Chanho 5 1999 Correction to: Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0445.60063Bhattacharya, R. N. 5 1980 Recent results on refinements of the central limit theorem. Zbl 0266.60010Bhattacharya, R. N. 5 1972 Rates of weak convergence and asymptotic expansions for classical central limit theorems. Zbl 0224.60014Bhattacharya, R. N. 5 1971 On the Taylor-Aris theory of solute transport in a capillary. Zbl 0537.76078Bhattacharya, R. N.; Gupta, Vijay K. 4 1984 Ergodicity and central limit theorems for a class of Markov processes. Zbl 0658.60094Bhattacharya, Rabi N.; Lee, Oesook 4 1988 Nonparametric benchmark analysis in risk assessment: a comparative study by simulation and data analysis. Zbl 1271.62062Bhattacharya, Rabi; Lin, Lizhen 4 2011 On errors of normal approximation. Zbl 0319.60013Bhattacharya, R. N. 4 1975 Semi-Markov cascade representations of local solutions to 3-D incompressible Navier-Stokes. Zbl 1104.35027Bhattacharya, 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 1033.60078Bhattacharya, R. N.; Waymire, E. C. 4 2002 Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Zbl 0962.60045Bhattacharya, Rabi; Denker, Manfred; Goswami, Alok 4 1999 Berry-Esseen bounds for the multi-dimensional central limit theorem. Zbl 0179.48102Bhattacharya, R. N. 4 1968 A note on the distribution of integrals of geometric Brownian motion. Zbl 0990.60083Bhattacharya, Rabi; Thomann, Enrique; Waymire, Edward 4 2001 An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies. Zbl 1202.62145Bhattacharya, Rabi; Lin, Lizhen 4 2010 Limit theorems for monotone Markov processes. Zbl 1209.60016Bhattacharya, Rabi; Majumdar, Mukul; Hashimzade, Nigar 4 2010 On the order of magnitude of cumulants of von Mises functionals and related statistics. Zbl 0527.62025Bhattacharya, R. N.; Puri, M. L. 3 1983 On a statistical theory of solute transport in porous media. Zbl 0417.60080Bhattacharya, R. N.; Gupta, V. K. 3 1979 Correction to: On the validity of the formal Edgeworth expansion. Zbl 0465.62025Bhattacharya, R. N.; Ghosh, J. K. 3 1980 Stability in distribution of randomly perturbed quadratic maps as Markov processes. Zbl 1065.60090Bhattacharya, Rabi; Majumdar, Mukul 3 2004 Comparisons of chisquare, Edgeworth expansions and bootstrap approximations to the distribution of the frequency chisquare. Zbl 0885.62015Bhattacharya, 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 1468.62027Bhattacharya, Rabi; Lin, Lizhen 2 2013 Some aspects of Edgeworth expansions in statistics and probability. Zbl 0627.62019Bhattacharya, R. N. 2 1987 A nonparametric theory of statistics on manifolds. Zbl 1280.62057Bhattacharya, Rabi 2 2013 Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities. Zbl 0841.60065Bhattacharya, Rabi N.; Götze, Friedrich 2 1995 Asymptotic behavior of several dimensional diffusions. Zbl 0464.60035Bhattacharya, R. N. 2 1981 Rates of weak convergence for the multidimensional central limit theorem. Zbl 0196.21103Bhattacharya, R. N. 2 1970 On the central limit theorem for diffusions with almost periodic coefficients. Zbl 0648.60081Bhattacharya, Rabi N.; Ramasubramanian, S. 1 1988 Problems of ruin and survival in economics: applications of limit theorems in probability. Zbl 1309.91074Bhattacharya, Rabi; Majumdar, Mukul; Lin, Lizhen 1 2013 Ruin probabilities in models of resource management and insurance: a synthesis. Zbl 1398.91311Bhattacharya, Rabi; Majumdar, Mukul 1 2015 On classical limit theorems for diffusions. Zbl 0586.60074Bhattacharya, R. N. 1 1982 On moment conditions for valid formal Edgeworth expansions. Zbl 0702.62013Bhattacharya, Rabi N.; Ghosh, J. K. 1 1989 Nonparametric analysis of non-Euclidean data on shapes and images. Zbl 1418.60014Bhattacharya, Rabi; Oliver, Rachel 1 2019 Iterated random maps and some classes of Markov processes. Zbl 0982.60070Bhattacharya, Rabi; Waymire, Edward C. 1 2001 On characterizing the probability of survival in a large competitive economy. Zbl 1004.91053Bhattacharya, Rabi N.; Majumdar, Mukul 1 2001 Nonparametric inference on manifolds. With applications to shape spaces. Reprint of the 2012 hardback ed. Zbl 1371.62001Bhattacharya, Abhishek; Bhattacharya, Rabi 1 2015 Dynamical systems subject to random shocks: An introduction. Zbl 1175.91102Bhattacharya, Rabi; Majumdar, Mukul 1 2004 Estimating the probability mass of unobserved support in random sampling. Zbl 0963.62040Almudevar, A.; Bhattacharya, R. N.; Sastri, C. C. A. 1 2000 Random iteration of i. i. d. quadratic maps. Zbl 0969.60072Athreya, K. B.; Bhattacharya, R. N. 1 2000 Markov processes and their applications. Zbl 1006.60068Bhattacharya, Rabi 1 2001 Convergence to equilibrium of random dynamical systems generated by i.i.d. monotone maps, with applications to economics. Zbl 1069.37514Bhattacharya, Rabi; Majumdar, Mukul 1 1999 Random iterates of monotone maps. Zbl 1218.37069Bhattacharya, Rabi; Majumdar, Mukul 1 2010 Nonparametric analysis of non-Euclidean data on shapes and images. Zbl 1418.60014Bhattacharya, Rabi; Oliver, Rachel 1 2019 Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces. Zbl 1353.60019Bhattacharya, Rabi; Lin, Lizhen 20 2017 A course in mathematical statistics and large sample theory. Zbl 1358.62002Bhattacharya, Rabi; Lin, Lizhen; Patrangenaru, Victor 10 2016 A basic course in probability theory. 2nd edition. Zbl 1357.60001Bhattacharya, Rabi; Waymire, Edward C. 7 2016 Ruin probabilities in models of resource management and insurance: a synthesis. Zbl 1398.91311Bhattacharya, Rabi; Majumdar, Mukul 1 2015 Nonparametric inference on manifolds. With applications to shape spaces. Reprint of the 2012 hardback ed. Zbl 1371.62001Bhattacharya, Abhishek; Bhattacharya, Rabi 1 2015 Statistics on manifolds and landmarks based image analysis: a nonparametric theory with applications. Zbl 1278.62068Bhattacharya, Rabi; Patrangenaru, Vic 9 2014 Recent progress in the nonparametric estimation of monotone curves – with applications to bioassay and environmental risk assessment. Zbl 1468.62027Bhattacharya, Rabi; Lin, Lizhen 2 2013 A nonparametric theory of statistics on manifolds. Zbl 1280.62057Bhattacharya, Rabi 2 2013 Problems of ruin and survival in economics: applications of limit theorems in probability. Zbl 1309.91074Bhattacharya, Rabi; Majumdar, Mukul; Lin, Lizhen 1 2013 Nonparametric inference on manifolds. With applications to shape spaces. Zbl 1273.62014Bhattacharya, Abhishek; Bhattacharya, Rabi 31 2012 Nonparametric benchmark analysis in risk assessment: a comparative study by simulation and data analysis. Zbl 1271.62062Bhattacharya, Rabi; Lin, Lizhen 4 2011 Normal approximation and asymptotic expansions. Updated republication of the 1986 reprint published by Robert E. Krieger Publ. Co. Zbl 1222.41002Bhattacharya, R. N.; Ranga Rao, R. 44 2010 An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies. Zbl 1202.62145Bhattacharya, Rabi; Lin, Lizhen 4 2010 Limit theorems for monotone Markov processes. Zbl 1209.60016Bhattacharya, Rabi; Majumdar, Mukul; Hashimzade, Nigar 4 2010 Random iterates of monotone maps. Zbl 1218.37069Bhattacharya, Rabi; Majumdar, Mukul 1 2010 Stochastic processes with applications. Reprint of the 1990 original ed. Zbl 1171.60333Bhattacharya, Rabi N.; Waymire, Edward C. 24 2009 Nonparametric inference for extrinsic means on size-and-(reflection)-shape manifolds with applications in medical imaging. Zbl 1171.62028Bandulasiri, Ananda; Bhattacharya, Rabi N.; Patrangenaru, Vic 14 2009 Statistics on Riemannian manifolds: asymptotic distribution and curvature. Zbl 1274.62337Bhattacharya, Abhishek; Bhattacharya, Rabi 11 2008 Random dynamical systems. Theory and applications. Zbl 1114.37027Bhattacharya, Rabi; Majumdar, Mukul 37 2007 A basic course in probability theory. Zbl 1138.60001Bhattacharya, Rabi N.; Waymire, Edward C. 22 2007 Consistency and asymptotic normality of the estimated effective doses in bioassay. Zbl 1104.62117Bhattacharya, Rabi; Kong, Maiying 9 2007 Large sample theory of intrinsic and extrinsic sample means on manifolds. II. Zbl 1072.62033Bhattacharya, Rabi; Patrangenaru, Vic 90 2005 Semi-Markov cascade representations of local solutions to 3-D incompressible Navier-Stokes. Zbl 1104.35027Bhattacharya, Rabi; Chen, Larry; Guenther, Ronald B.; Orum, Chris; Ossiander, Mina; Thomann, Enrique; Waymire, Edward C. 4 2005 Random dynamical systems: a review. Zbl 1175.91103Bhattacharya, Rabi; Majumdar, Mukul 6 2004 Stability in distribution of randomly perturbed quadratic maps as Markov processes. Zbl 1065.60090Bhattacharya, Rabi; Majumdar, Mukul 3 2004 Dynamical systems subject to random shocks: An introduction. Zbl 1175.91102Bhattacharya, Rabi; Majumdar, Mukul 1 2004 Large sample theory of intrinsic and extrinsic sample means on manifolds. I. Zbl 1020.62026Bhattacharya, Rabi; Patrangenaru, Vic 134 2003 Majorizing kernels and stochastic cascades with applications to incompressible Navier-Stokes equations. Zbl 1031.35115Bhattacharya, 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 1031.62024Bhattacharya, Rabi; Patrangenaru, Vic 23 2002 An approach to the existence of unique invariant probabilities for Markov processes. Zbl 1033.60078Bhattacharya, R. N.; Waymire, E. C. 4 2002 On a class of stable random dynamical systems: Theory and applications. Zbl 0987.60083Bhattacharya, Rabi; Majumdar, Mukul 10 2001 A note on the distribution of integrals of geometric Brownian motion. Zbl 0990.60083Bhattacharya, Rabi; Thomann, Enrique; Waymire, Edward 4 2001 Iterated random maps and some classes of Markov processes. Zbl 0982.60070Bhattacharya, Rabi; Waymire, Edward C. 1 2001 On characterizing the probability of survival in a large competitive economy. Zbl 1004.91053Bhattacharya, Rabi N.; Majumdar, Mukul 1 2001 Markov processes and their applications. Zbl 1006.60068Bhattacharya, Rabi 1 2001 Stochastic equivalence of convex ordered distributions and applications. Zbl 0955.60019Bhattacharjee, M. C.; Bhattacharya, R. N. 6 2000 Estimating the probability mass of unobserved support in random sampling. Zbl 0963.62040Almudevar, A.; Bhattacharya, R. N.; Sastri, C. C. A. 1 2000 Random iteration of i. i. d. quadratic maps. Zbl 0969.60072Athreya, K. B.; Bhattacharya, R. N. 1 2000 On a theorem of Dubins and Freedman. Zbl 0961.60064Bhattacharya, Rabi; Majumdar, Mukul 5 1999 Multiscale diffusion processes with periodic coefficients and an application to solute transport in porous media. Zbl 0956.60080Bhattacharya, Rabi 5 1999 Erratum to: On geometric ergodicity of nonlinear autoregressive models. Zbl 0932.60076Bhattacharya, Rabi; Lee, Chanho 5 1999 Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Zbl 0962.60045Bhattacharya, 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 1069.37514Bhattacharya, Rabi; Majumdar, Mukul 1 1999 Comparisons of chisquare, Edgeworth expansions and bootstrap approximations to the distribution of the frequency chisquare. Zbl 0885.62015Bhattacharya, R. N.; Chan, N. H. 3 1996 On geometric ergodicity of nonlinear autoregressive models. Zbl 0830.60059Bhattacharya, Rabi; Lee, Chanho 29 1995 Ergodicity of nonlinear first order autoregressive models. Zbl 0815.60059Bhattacharya, Rabi N.; Lee, Chanho 15 1995 Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities. Zbl 0841.60065Bhattacharya, Rabi N.; Götze, Friedrich 2 1995 Random iterations of two quadratic maps. Zbl 0786.60095Bhattacharya, Rabi N.; Rao, B. V. 9 1993 Stability in distribution for a class of singular diffusions. Zbl 0749.60073Basak, Gopal K.; Bhattacharya, Rabi N. 42 1992 A class of \(U\)-statistics and asymptotic normality of the number of \(k\)- clusters. Zbl 0764.60025Bhattacharya, Rabi N.; Ghosh, Jayanta K. 9 1992 Stochastic processes with applications. Zbl 0744.60032Bhattacharya, Rabi N.; Waymire, Edward C. 81 1990 Asymptotic statistics. Zbl 0706.62049Bhattacharya, Rabi; Denker, Manfred 16 1990 Stochastic processes with applications. Zbl 0715.60046Bhattacharya, Rabi N.; Waymire, Edward C. 15 1990 Second order and \(L^ p\)-comparisons between the boostrap and empirical Edgeworth expansion methodologies. Zbl 0669.62002Bhattacharya, Rabi; Qumsiyeh, Maher 15 1989 Controlled semi-Markov models - the discounted case. Zbl 0673.93089Bhattacharya, Rabi N.; Majumdar, Mukul 15 1989 Controlled semi-Markov models under long-run average rewards. Zbl 0683.49003Bhattacharya, Rabi N.; Majumdar, Mukul 14 1989 Asymptotics of solute dispersion in periodic porous media. Zbl 0664.60079Bhattacharya, R. N.; Gupta, V. K.; Walker, H. F. 12 1989 On moment conditions for valid formal Edgeworth expansions. Zbl 0702.62013Bhattacharya, Rabi N.; Ghosh, J. K. 1 1989 Asymptotics of a class of Markov processes which are not in general irreducible. Zbl 0652.60028Bhattacharya, Rabi N.; Lee, Oesook 25 1988 On moment conditions for valid formal Edgeworth expansions. Zbl 0672.62030Bhattacharya, Rabi N.; Ghosh, J. K. 6 1988 Ergodicity and central limit theorems for a class of Markov processes. Zbl 0658.60094Bhattacharya, Rabi N.; Lee, Oesook 4 1988 On the central limit theorem for diffusions with almost periodic coefficients. Zbl 0648.60081Bhattacharya, Rabi N.; Ramasubramanian, S. 1 1988 Some aspects of Edgeworth expansions in statistics and probability. Zbl 0627.62019Bhattacharya, 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 0657.41001Bhattacharya, R. N.; Ranga Rao, R. 63 1986 A central limit theorem for diffusions with periodic coefficients. Zbl 0575.60075Bhattacharya, Rabi 25 1985 Some recent results on Cramér-Edgeworth expansions with applications. Zbl 0588.62029Bhattacharya, R. N. 7 1985 On the Taylor-Aris theory of solute transport in a capillary. Zbl 0537.76078Bhattacharya, R. N.; Gupta, Vijay K. 4 1984 The Hurst effect under trends. Zbl 0526.60027Bhattacharya, R. N.; Gupta, Vijay K.; Waymire, Ed 39 1983 On the order of magnitude of cumulants of von Mises functionals and related statistics. Zbl 0527.62025Bhattacharya, R. N.; Puri, M. L. 3 1983 On the functional central limit theorem and the law of the iterated logarithm for Markov processes. Zbl 0468.60034Bhattacharya, R. N. 100 1982 Recurrence and ergodicity of diffusions. Zbl 0499.60084Bhattacharya, R. N.; Ramasubramanian, S. 9 1982 Normal approximation and asymptotic expansions. (Approksimatsiya normal’nym raspredeleniem i asimptoticheskie razlozheniya). Transl. from the English. Zbl 0514.41002Bhattacharya, R. N.; Ranga Rao, R. 5 1982 On classical limit theorems for diffusions. Zbl 0586.60074Bhattacharya, R. N. 1 1982 Asymptotic behavior of several dimensional diffusions. Zbl 0464.60035Bhattacharya, R. N. 2 1981 Correction to: Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0445.60063Bhattacharya, R. N. 5 1980 Correction to: On the validity of the formal Edgeworth expansion. Zbl 0465.62025Bhattacharya, R. N.; Ghosh, J. K. 3 1980 On a statistical theory of solute transport in porous media. Zbl 0417.60080Bhattacharya, R. N.; Gupta, V. K. 3 1979 On the validity of the formal Edgeworth expansion. Zbl 0396.62010Bhattacharya, R. N.; Ghosh, J. K. 224 1978 Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0386.60056Bhattacharya, R. N. 45 1978 Refinements of the multidimensional central limit theorem and applications. Zbl 0361.60001Bhattacharya, R. N. 16 1977 Normal approximation and asymptotic expansions. Zbl 0331.41023Bhattacharya, R. N.; Ranga Rao, R. 374 1976 On errors of normal approximation. Zbl 0319.60013Bhattacharya, R. N. 4 1975 Speed of convergence of the n-fold convolution of a probability measure on a compact group. Zbl 0247.60008Bhattacharya, R. N. 17 1972 Recent results on refinements of the central limit theorem. Zbl 0266.60010Bhattacharya, R. N. 5 1972 Rates of weak convergence and asymptotic expansions for classical central limit theorems. Zbl 0224.60014Bhattacharya, R. N. 5 1971 Rates of weak convergence for the multidimensional central limit theorem. Zbl 0216.46302Bhattacharya, R. N. 8 1970 Rates of weak convergence for the multidimensional central limit theorem. Zbl 0196.21103Bhattacharya, R. N. 2 1970 Berry-Esseen bounds for the multi-dimensional central limit theorem. Zbl 0179.48102Bhattacharya, R. N. 4 1968 all cited Publications top 5 cited Publications 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. 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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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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