Edit Profile (opens in new tab) Bhattacharya, Rabi N. Compute Distance To: Compute 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 all top 5 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 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 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0331.41023Bhattacharya, R. N.; Ranga Rao, R. 328 1976 On the validity of the formal Edgeworth expansion. Zbl 0396.62010Bhattacharya, R. N.; Ghosh, J. K. 217 1978 Large sample theory of intrinsic and extrinsic sample means on manifolds. I. Zbl 1020.62026Bhattacharya, Rabi; Patrangenaru, Vic 119 2003 On the functional central limit theorem and the law of the iterated logarithm for Markov processes. Zbl 0468.60034Bhattacharya, R. N. 90 1982 Large sample theory of intrinsic and extrinsic sample means on manifolds. II. Zbl 1072.62033Bhattacharya, Rabi; Patrangenaru, Vic 78 2005 Stochastic processes with applications. Zbl 0744.60032Bhattacharya, Rabi N.; Waymire, Edward C. 76 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. 53 1986 Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Zbl 0386.60056Bhattacharya, R. N. 45 1978 The Hurst effect under trends. Zbl 0526.60027Bhattacharya, R. N.; Gupta, Vijay K.; Waymire, Ed 39 1983 Stability in distribution for a class of singular diffusions. Zbl 0749.60073Basak, Gopal K.; Bhattacharya, Rabi N. 37 1992 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. 32 2010 Random dynamical systems. Theory and applications. Zbl 1114.37027Bhattacharya, Rabi; Majumdar, Mukul 30 2007 On geometric ergodicity of nonlinear autoregressive models. Zbl 0830.60059Bhattacharya, Rabi; Lee, Chanho 28 1995 Nonparametric inference on manifolds. With applications to shape spaces. Zbl 1273.62014Bhattacharya, Abhishek; Bhattacharya, Rabi 26 2012 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 24 1985 A basic course in probability theory. Zbl 1138.60001Bhattacharya, Rabi N.; Waymire, Edward C. 20 2007 Nonparametic estimation of location and dispersion on Riemannian manifolds. Zbl 1031.62024Bhattacharya, Rabi; Patrangenaru, Vic 18 2002 Stochastic processes with applications. Reprint of the 1990 original ed. Zbl 1171.60333Bhattacharya, Rabi N.; Waymire, Edward C. 18 2009 Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces. Zbl 1353.60019Bhattacharya, Rabi; Lin, Lizhen 17 2017 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. 17 2003 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 15 1990 Second order and \(L^ p\)-comparisons between the boostrap and empirical Edgeworth expansion methodologies. Zbl 0669.62002Bhattacharya, Rabi; Qumsiyeh, Maher 15 1989 Ergodicity of nonlinear first order autoregressive models. Zbl 0815.60059Bhattacharya, Rabi N.; Lee, Chanho 15 1995 Controlled semi-Markov models - the discounted case. Zbl 0673.93089Bhattacharya, Rabi N.; Majumdar, Mukul 14 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 Stochastic processes with applications. Zbl 0715.60046Bhattacharya, Rabi N.; Waymire, Edward C. 12 1990 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 12 2009 Statistics on Riemannian manifolds: asymptotic distribution and curvature. Zbl 1274.62337Bhattacharya, Abhishek; Bhattacharya, Rabi 11 2008 Statistics on manifolds and landmarks based image analysis: a nonparametric theory with applications. Zbl 1278.62068Bhattacharya, Rabi; Patrangenaru, Vic 9 2014 Random iterations of two quadratic maps. Zbl 0786.60095Bhattacharya, Rabi N.; Rao, B. V. 9 1993 A class of \(U\)-statistics and asymptotic normality of the number of \(k\)- clusters. Zbl 0764.60025Bhattacharya, Rabi N.; Ghosh, Jayanta K. 9 1992 On a class of stable random dynamical systems: Theory and applications. Zbl 0987.60083Bhattacharya, Rabi; Majumdar, Mukul 9 2001 Rates of weak convergence for the multidimensional central limit theorem. Zbl 0216.46302Bhattacharya, R. N. 9 1970 Recurrence and ergodicity of diffusions. Zbl 0499.60084Bhattacharya, R. N.; Ramasubramanian, S. 8 1982 Some recent results on Cramér-Edgeworth expansions with applications. Zbl 0588.62029Bhattacharya, R. N. 7 1985 Consistency and asymptotic normality of the estimated effective doses in bioassay. Zbl 1104.62117Bhattacharya, Rabi; Kong, Maiying 6 2007 Stochastic equivalence of convex ordered distributions and applications. Zbl 0955.60019Bhattacharjee, M. C.; Bhattacharya, R. N. 6 2000 A course in mathematical statistics and large sample theory. Zbl 1358.62002Bhattacharya, Rabi; Lin, Lizhen; Patrangenaru, Victor 6 2016 On moment conditions for valid formal Edgeworth expansions. Zbl 0672.62030Bhattacharya, Rabi N.; Ghosh, J. K. 6 1988 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 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 Random dynamical systems: a review. Zbl 1175.91103Bhattacharya, Rabi; Majumdar, Mukul 5 2004 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 Speed of convergence to equilibrium and to normality for diffusions with multiple periodic scales. Zbl 0962.60045Bhattacharya, Rabi; Denker, Manfred; Goswami, Alok 4 1999 On the Taylor-Aris theory of solute transport in a capillary. Zbl 0537.76078Bhattacharya, R. N.; Gupta, Vijay K. 4 1984 A basic course in probability theory. 2nd edition. Zbl 1357.60001Bhattacharya, Rabi; Waymire, Edward C. 4 2016 A note on the distribution of integrals of geometric Brownian motion. Zbl 0990.60083Bhattacharya, Rabi; Thomann, Enrique; Waymire, Edward 4 2001 Limit theorems for monotone Markov processes. Zbl 1209.60016Bhattacharya, Rabi; Majumdar, Mukul; Hashimzade, Nigar 4 2010 Ergodicity and central limit theorems for a class of Markov processes. Zbl 0658.60094Bhattacharya, Rabi N.; Lee, Oesook 4 1988 Berry-Esseen bounds for the multi-dimensional central limit theorem. Zbl 0179.48102Bhattacharya, R. N. 4 1968 Recent results on refinements of the central limit theorem. Zbl 0266.60010Bhattacharya, R. N. 4 1972 On errors of normal approximation. Zbl 0319.60013Bhattacharya, R. N. 4 1975 Nonparametric benchmark analysis in risk assessment: a comparative study by simulation and data analysis. Zbl 1271.62062Bhattacharya, Rabi; Lin, Lizhen 3 2011 Stability in distribution of randomly perturbed quadratic maps as Markov processes. Zbl 1065.60090Bhattacharya, Rabi; Majumdar, Mukul 3 2004 An approach to the existence of unique invariant probabilities for Markov processes. Zbl 1033.60078Bhattacharya, R. N.; Waymire, E. C. 3 2002 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 the order of magnitude of cumulants of von Mises functionals and related statistics. Zbl 0527.62025Bhattacharya, R. N.; Puri, M. L. 3 1983 An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies. Zbl 1202.62145Bhattacharya, Rabi; Lin, Lizhen 3 2010 On a statistical theory of solute transport in porous media. Zbl 0417.60080Bhattacharya, R. N.; Gupta, V. K. 3 1979 Rates of weak convergence and asymptotic expansions for classical central limit theorems. Zbl 0224.60014Bhattacharya, R. N. 3 1971 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 Correction to: On the validity of the formal Edgeworth expansion. Zbl 0465.62025Bhattacharya, R. N.; Ghosh, J. K. 2 1980 Some aspects of Edgeworth expansions in statistics and probability. Zbl 0627.62019Bhattacharya, R. N. 2 1987 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 Problems of ruin and survival in economics: applications of limit theorems in probability. Zbl 1309.91074Bhattacharya, Rabi; Majumdar, Mukul; Lin, Lizhen 1 2013 Random iterates of monotone maps. Zbl 1218.37069Bhattacharya, Rabi; Majumdar, Mukul 1 2010 Estimating the probability mass of unobserved support in random sampling. Zbl 0963.62040Almudevar, A.; Bhattacharya, R. N.; Sastri, C. C. A. 1 2000 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 On classical limit theorems for diffusions. Zbl 0586.60074Bhattacharya, R. N. 1 1982 Nonparametric inference on manifolds. With applications to shape spaces. Reprint of the 2012 hardback ed. Zbl 1371.62001Bhattacharya, Abhishek; Bhattacharya, Rabi 1 2015 On moment conditions for valid formal Edgeworth expansions. Zbl 0702.62013Bhattacharya, Rabi N.; Ghosh, J. K. 1 1989 Random iteration of i. i. d. quadratic maps. Zbl 0969.60072Athreya, K. B.; Bhattacharya, R. N. 1 2000 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 Rates of weak convergence for the multidimensional central limit theorem. Zbl 0196.21103Bhattacharya, R. N. 1 1970 Dynamical systems subject to random shocks: An introduction. Zbl 1175.91102Bhattacharya, Rabi; Majumdar, Mukul 1 2004 On the central limit theorem for diffusions with almost periodic coefficients. Zbl 0648.60081Bhattacharya, Rabi N.; Ramasubramanian, S. 1 1988 Ruin probabilities in models of resource management and insurance: a synthesis. Zbl 1398.91311Bhattacharya, Rabi; Majumdar, Mukul 1 2015 Nonparametric analysis of non-Euclidean data on shapes and images. Zbl 1418.60014Bhattacharya, Rabi; Oliver, Rachel 1 2019 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 17 2017 A course in mathematical statistics and large sample theory. Zbl 1358.62002Bhattacharya, Rabi; Lin, Lizhen; Patrangenaru, Victor 6 2016 A basic course in probability theory. 2nd edition. Zbl 1357.60001Bhattacharya, Rabi; Waymire, Edward C. 4 2016 Nonparametric inference on manifolds. With applications to shape spaces. Reprint of the 2012 hardback ed. Zbl 1371.62001Bhattacharya, Abhishek; Bhattacharya, Rabi 1 2015 Ruin probabilities in models of resource management and insurance: a synthesis. Zbl 1398.91311Bhattacharya, Rabi; Majumdar, Mukul 1 2015 Statistics on manifolds and landmarks based image analysis: a nonparametric theory with applications. Zbl 1278.62068Bhattacharya, Rabi; Patrangenaru, Vic 9 2014 A nonparametric theory of statistics on manifolds. Zbl 1280.62057Bhattacharya, Rabi 2 2013 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 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 26 2012 Nonparametric benchmark analysis in risk assessment: a comparative study by simulation and data analysis. Zbl 1271.62062Bhattacharya, Rabi; Lin, Lizhen 3 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. 32 2010 Limit theorems for monotone Markov processes. Zbl 1209.60016Bhattacharya, Rabi; Majumdar, Mukul; Hashimzade, Nigar 4 2010 An adaptive nonparametric method in benchmark analysis for bioassay and environmental studies. Zbl 1202.62145Bhattacharya, Rabi; Lin, Lizhen 3 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. 18 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 12 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 30 2007 A basic course in probability theory. Zbl 1138.60001Bhattacharya, Rabi N.; Waymire, Edward C. 20 2007 Consistency and asymptotic normality of the estimated effective doses in bioassay. Zbl 1104.62117Bhattacharya, Rabi; Kong, Maiying 6 2007 Large sample theory of intrinsic and extrinsic sample means on manifolds. II. Zbl 1072.62033Bhattacharya, Rabi; Patrangenaru, Vic 78 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 5 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 119 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. 17 2003 Nonparametic estimation of location and dispersion on Riemannian manifolds. Zbl 1031.62024Bhattacharya, Rabi; Patrangenaru, Vic 18 2002 An approach to the existence of unique invariant probabilities for Markov processes. Zbl 1033.60078Bhattacharya, R. N.; Waymire, E. C. 3 2002 On a class of stable random dynamical systems: Theory and applications. Zbl 0987.60083Bhattacharya, Rabi; Majumdar, Mukul 9 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 28 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. 37 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. 76 1990 Asymptotic statistics. Zbl 0706.62049Bhattacharya, Rabi; Denker, Manfred 15 1990 Stochastic processes with applications. Zbl 0715.60046Bhattacharya, Rabi N.; Waymire, Edward C. 12 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 14 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. 53 1986 A central limit theorem for diffusions with periodic coefficients. Zbl 0575.60075Bhattacharya, Rabi 24 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. 90 1982 Recurrence and ergodicity of diffusions. Zbl 0499.60084Bhattacharya, R. N.; Ramasubramanian, S. 8 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. 2 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. 217 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. 328 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. 4 1972 Rates of weak convergence and asymptotic expansions for classical central limit theorems. Zbl 0224.60014Bhattacharya, R. N. 3 1971 Rates of weak convergence for the multidimensional central limit theorem. Zbl 0216.46302Bhattacharya, R. N. 9 1970 Rates of weak convergence for the multidimensional central limit theorem. Zbl 0196.21103Bhattacharya, R. N. 1 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 1,676 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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