Rabi N. Bhattacharya

Rabi N. Bhattacharya PDF Author: Manfred Denker
Publisher: Birkhäuser
ISBN: 331930190X
Category : Mathematics
Languages : en
Pages : 717

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Book Description
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

Rabi N. Bhattacharya PDF Author: Manfred Denker
Publisher: Birkhäuser
ISBN: 331930190X
Category : Mathematics
Languages : en
Pages : 717

Get Book Here

Book Description
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.

Probability, Statistics, and Their Applications

Probability, Statistics, and Their Applications PDF Author: Rabindra Nath Bhattacharya
Publisher: IMS
ISBN: 9780940600553
Category : Mathematics
Languages : en
Pages : 312

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Book Description


Normal Approximation and Asymptotic Expansions

Normal Approximation and Asymptotic Expansions PDF Author: Rabi N. Bhattacharya
Publisher: SIAM
ISBN: 089871897X
Category : Mathematics
Languages : en
Pages : 333

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Book Description
-Fourier analysis, --

Stochastic Processes with Applications

Stochastic Processes with Applications PDF Author: Rabi N. Bhattacharya
Publisher: SIAM
ISBN: 0898716896
Category : Mathematics
Languages : en
Pages : 726

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Book Description
This book develops systematically and rigorously, yet in an expository and lively manner, the evolution of general random processes and their large time properties such as transience, recurrence, and convergence to steady states. The emphasis is on the most important classes of these processes from the viewpoint of theory as well as applications, namely, Markov processes. The book features very broad coverage of the most applicable aspects of stochastic processes, including sufficient material for self-contained courses on random walks in one and multiple dimensions; Markov chains in discrete and continuous times, including birth-death processes; Brownian motion and diffusions; stochastic optimization; and stochastic differential equations. This book is for graduate students in mathematics, statistics, science and engineering, and it may also be used as a reference by professionals in diverse fields whose work involves the application of probability.

Elementary Numerical Analysis

Elementary Numerical Analysis PDF Author: S. D. Conte
Publisher: SIAM
ISBN: 1611975204
Category : Science
Languages : en
Pages : 474

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Book Description
This book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.

Initial-Boundary Value Problems and the Navier-Stokes Equation

Initial-Boundary Value Problems and the Navier-Stokes Equation PDF Author: Heinz-Otto Kreiss
Publisher: SIAM
ISBN: 0898715652
Category : Science
Languages : en
Pages : 408

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Book Description
Initial-Boundary Value Problems and the Navier-Stokes Equations gives an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Applications to parabolic and hyperbolic systems are emphasized in this text. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The book explains the principles of these subjects. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. Audience: when the book was written, the main intent was to write a text on initial-boundary value problems that was accessible to a rather wide audience. Functional analytical prerequisites were kept to a minimum or were developed in the book. Boundary conditions are analyzed without first proving trace theorems, and similar simplifications have been used throughout. This book continues to be useful to researchers and graduate students in applied mathematics and engineering.

Mathematics Applied to Continuum Mechanics

Mathematics Applied to Continuum Mechanics PDF Author: Lee A. Segel
Publisher: SIAM
ISBN: 0898716209
Category : Science
Languages : en
Pages : 598

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Book Description
This classic work gives an excellent overview of the subject, with an emphasis on clarity, explanation, and motivation. Extensive exercises and a valuable section containing hints and answers make this an excellent text for both classroom use and independent study.

Spectral Approximation of Linear Operators

Spectral Approximation of Linear Operators PDF Author: Francoise Chatelin
Publisher: SIAM
ISBN: 0898719992
Category : Mathematics
Languages : en
Pages : 482

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Book Description
Originally published: New York: Academic Press, 1983.

Mathematical Models in Biology

Mathematical Models in Biology PDF Author: Leah Edelstein-Keshet
Publisher: SIAM
ISBN: 9780898719147
Category : Mathematics
Languages : en
Pages : 629

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Book Description
Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Multiple Decision Procedures

Multiple Decision Procedures PDF Author: Shanti S. Gupta
Publisher: SIAM
ISBN: 0898715326
Category : Mathematics
Languages : en
Pages : 592

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Book Description
An encyclopaedic coverage of the literature in the area of ranking and selection procedures. It also deals with the estimation of unknown ordered parameters. This book can serve as a text for a graduate topics course in ranking and selection. It is also a valuable reference for researchers and practitioners.