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Rabi N. Bhattacharya

Selected Papers

  • Book
  • © 2016

Overview

Editors:
  1. Manfred Denker

    1. Mathematics, The Pennsylvania State University, State College, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Edward C. Waymire

    1. Department of Mathematics, Oregon State University, Corvallis, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Collection of influential papers by respected mathematician and statistician, Rabi N. Bhattacharya??
  • Includes commentaries from established researchers to enhance accessibility
  • Addresses past and present developments and future challenges in the fields of probability and statistics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Contemporary Mathematicians (CM)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Modes of Approximation

    1. Front Matter

      Pages 1-1
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    2. Contributions of Rabi Bhattacharya to the Central Limit Theory and Normal Approximation

      • Peter Hall
      Pages 3-13

    3. Asymptotic Expansions for Stochastic Processes

      • Nakahiro Yoshida
      Pages 15-32

    4. An Introduction to Normal Approximation

      • Qi-Man Shao
      Pages 33-40

    5. Reprints: Part I

      • R. N. Bhattacharya
      Pages 41-127

  3. Large Time Asymptotics for Markov Processes I: Diffusion

    1. Front Matter

      Pages 129-129
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    2. Martingale Methods for the Central Limit Theorem

      • S. R. Srinisava Varadhan
      Pages 131-135

    3. Ergodicity and Central Limit Theorems for Markov Processes

      • Thomas G. Kurtz
      Pages 137-154

    4. Reprints: Part II

      • R. N. Bhattacharya
      Pages 155-262

  4. Large Time Asymptotics for Markov Processes II: Dynamical Systems and Iterated Maps

    1. Front Matter

      Pages 263-263
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    2. Dynamical Systems, IID Random Iterations, and Markov Chains

      • Krishna B. Athreya
      Pages 265-275

    3. Random Dynamical Systems and Selected Works of Rabi Bhattacharya

      • Edward C. Waymire
      Pages 277-288

    4. Reprints: Part III

      • R. N. Bhattacharya
      Pages 289-359

  5. Stochastic Foundations in Applied Sciences I: Economics

    1. Front Matter

      Pages 361-361
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    2. Stability Analysis for Random Dynamical Systems in Economics

      • Takashi Kamihigashi, John Stachurski
      Pages 363-374

    3. Some Economic Applications of Recent Advances in Random Dynamical Systems

      • Santanu Roy
      Pages 375-383

    4. Reprints: Part IV

      • R. N. Bhattacharya
      Pages 385-407

  6. Stochastic Foundations in Applied Sciences II: Geophysics

    1. Front Matter

      Pages 409-409
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    2. Advection-Dispersion in Fluid Media and Selected Works of Rabi Bhattacharya

      • Enrique A. Thomann, Edward C. Waymire
      Pages 411-423
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Keywords

About this book

This volume presents some of the most influential papers published by Rabi N. Bhattacharya, along with commentaries from international experts, demonstrating his knowledge, insight, and influence in the field of probability and its applications.  For more than three decades, Bhattacharya has made significant contributions in areas ranging from theoretical statistics via analytical probability theory, Markov processes, and random dynamics to applied topics in statistics, economics, and geophysics.  Selected reprints of Bhattacharya’s papers are divided into three sections: Modes of Approximation, Large Times for Markov Processes, and Stochastic Foundations in Applied Sciences.  The accompanying articles by the contributing authors not only help to position his work in the context of other achievements, but also provide a unique assessment of the state of their individual fields, both historically and for the next generation of researchers.


Rabi N. Bhattacharya: Selected Papers will be a valuable resource for young researchers entering the diverse areas of study to which Bhattacharya has contributed.  Established researchers will also appreciate this work as an account of both past and present developments and challenges for the future.


Reviews

“The volume offers analytic probability theory, statistic theory, Markov processes, random dynamic systems, and applied topics in statistics, economics and geophysics … . This volume can be very useful for researchers in probability and statistics, as well as those practitioners in economics, geophysics and statistics. … The other target audience consists of theoretic probability PhD students and researchers, stochastic processes and random dynamics researchers and applied practicers … .” (Weiping Li, zbMATH 1378.60010, 2018)



“I enjoyed rereading some of the articles with interest and pleasure. This collection has some nice collection of statistical and related works and provides some historical perspectives of some of the important work in respective scientific fields produced by Bhattacharya. Surely, this volume will be of interest to researchers in probability and statistics with applications in diverse fields. Certainly, this volume is a one-stop shopping and contains wealth of information.” (S. Ejaz Ahmed, Technometrics, Vol. 59 (4), November, 2017)

Editors and Affiliations

  • Mathematics, The Pennsylvania State University, State College, USA

    Manfred Denker

  • Department of Mathematics, Oregon State University, Corvallis, USA

    Edward C. Waymire

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