© 2016

Rabi N. Bhattacharya

Selected Papers

  • Manfred Denker
  • Edward C. Waymire


  • 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


Part of the Contemporary Mathematicians book series (CM)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Modes of Approximation

    1. Front Matter
      Pages 1-1
    2. Nakahiro Yoshida
      Pages 15-32
    3. Qi-Man Shao
      Pages 33-40
    4. R. N. Bhattacharya
      Pages 41-127
  3. Large Time Asymptotics for Markov Processes I: Diffusion

    1. Front Matter
      Pages 129-129
    2. S. R. Srinisava Varadhan
      Pages 131-135
    3. 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
    2. R. N. Bhattacharya
      Pages 289-359
  5. Stochastic Foundations in Applied Sciences I: Economics

    1. Front Matter
      Pages 361-361
    2. Takashi Kamihigashi, John Stachurski
      Pages 363-374
    3. R. N. Bhattacharya
      Pages 385-407
  6. Stochastic Foundations in Applied Sciences II: Geophysics

    1. Front Matter
      Pages 409-409
    2. Enrique A. Thomann, Edward C. Waymire
      Pages 411-423

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.


Rabi N. Bhattacharya Markov processes Probability Approximation Random Dynamical Systems Stochastic Foundations Diffusion

Editors and affiliations

  • Manfred Denker
    • 1
  • Edward C. Waymire
    • 2
  1. 1.MathematicsThe Pennsylvania State UniversityState CollegeUSA
  2. 2.Department of MathematicsOregon State UniversityCorvallisUSA

Bibliographic information

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“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)