Rabi N Bhattacharya

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Rabi N. Bhattacharya

Author : Manfred Denker
Publisher : Birkhäuser
ISBN 13 : 331930190X
Total Pages : 711 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Rabi N. Bhattacharya by : Manfred Denker

Download or read book Rabi N. Bhattacharya written by Manfred Denker and published by Birkhäuser. This book was released on 2016-06-30 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Rabindra Nath Bhattacharya
Publisher : IMS
ISBN 13 : 9780940600553
Total Pages : 312 pages
Book Rating : 4.6/5 (5 download)

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Book Synopsis Probability, Statistics, and Their Applications by : Rabindra Nath Bhattacharya

Download or read book Probability, Statistics, and Their Applications written by Rabindra Nath Bhattacharya and published by IMS. This book was released on 2003 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Normal Approximation and Asymptotic Expansions

Author : Rabi N. Bhattacharya
Publisher : SIAM
ISBN 13 : 089871897X
Total Pages : 333 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Normal Approximation and Asymptotic Expansions by : Rabi N. Bhattacharya

Download or read book Normal Approximation and Asymptotic Expansions written by Rabi N. Bhattacharya and published by SIAM. This book was released on 2010-11-11 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: -Fourier analysis, --

Stochastic Processes with Applications

Author : Rabi N. Bhattacharya
Publisher : SIAM
ISBN 13 : 0898716896
Total Pages : 726 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Stochastic Processes with Applications by : Rabi N. Bhattacharya

Download or read book Stochastic Processes with Applications written by Rabi N. Bhattacharya and published by SIAM. This book was released on 2009-08-27 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Course in Mathematical Statistics and Large Sample Theory

Author : Rabi Bhattacharya
Publisher : Springer
ISBN 13 : 1493940325
Total Pages : 389 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis A Course in Mathematical Statistics and Large Sample Theory by : Rabi Bhattacharya

Download or read book A Course in Mathematical Statistics and Large Sample Theory written by Rabi Bhattacharya and published by Springer. This book was released on 2016-08-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook is primarily aimed at graduate students of statistics, mathematics, science, and engineering who have had an undergraduate course in statistics, an upper division course in analysis, and some acquaintance with measure theoretic probability. It provides a rigorous presentation of the core of mathematical statistics. Part I of this book constitutes a one-semester course on basic parametric mathematical statistics. Part II deals with the large sample theory of statistics - parametric and nonparametric, and its contents may be covered in one semester as well. Part III provides brief accounts of a number of topics of current interest for practitioners and other disciplines whose work involves statistical methods.

A Basic Course in Probability Theory

Author : Rabi Bhattacharya
Publisher : Springer Science & Business Media
ISBN 13 : 0387719393
Total Pages : 217 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis A Basic Course in Probability Theory by : Rabi Bhattacharya

Download or read book A Basic Course in Probability Theory written by Rabi Bhattacharya and published by Springer Science & Business Media. This book was released on 2007-07-08 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Probability is a pleasure to read and provides a fine answer to the question: How do you construct Brownian motion from scratch, given that you are a competent analyst? There are at least two ways to develop probability theory. The more familiar path is to treat it as its own discipline, and work from intuitive examples such as coin flips and conundrums such as the Monty Hall problem. An alternative is to first develop measure theory and analysis, and then add interpretation. Bhattacharya and Waymire take the second path.

Nonparametric Inference on Manifolds

Author : Abhishek Bhattacharya
Publisher : Cambridge University Press
ISBN 13 : 1107019583
Total Pages : 252 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Nonparametric Inference on Manifolds by : Abhishek Bhattacharya

Download or read book Nonparametric Inference on Manifolds written by Abhishek Bhattacharya and published by Cambridge University Press. This book was released on 2012-04-05 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for statisticians, this book will also interest probabilists, mathematicians, computer scientists, and morphometricians with mathematical training. It presents a systematic introduction to a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes. The theory has important applications in medical diagnostics, image analysis and machine vision.

Selected collected works

Author : Madan Lal Puri
Publisher : VSP
ISBN 13 : 9789067643856
Total Pages : 760 pages
Book Rating : 4.6/5 (438 download)

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Book Synopsis Selected collected works by : Madan Lal Puri

Download or read book Selected collected works written by Madan Lal Puri and published by VSP. This book was released on 2003-01-01 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Puri is one of the most versatile and prolific researchers in the world in mathematical statistics. His research areas include nonparametric statistics, order statistics, limit theory under mixing, time series, splines, tests of normality, generalized inverses of matrices and related topics, stochastic processes, statistics of directional data, random sets, and fuzzy sets and fuzzy measures. His fundamental contributions in developing new rank-based methods and precise evaluation of the standard procedures, asymptotic expansions of distributions of rank statistics, as well as large deviation results concerning them, span such areas as analysis of variance, analysis of covariance, multivariate analysis, and time series, to mention a few. His in-depth analysis has resulted in pioneering research contributions to prominent journals that have substantial impact on current research. This book together with the other two volumes (Volume 1: Nonparametric Methods in Statistics and Related Topics; Volume 3: Time Series, Fuzzy Analysis and Miscellaneous Topics), are a concerted effort to make his research works easily available to the research community. The sheer volume of the research output by him and his collaborators, coupled with the broad spectrum of the subject matters investigated, and the great number of outlets where the papers were published, attach special significance in making these works easily accessible. The papers selected for inclusion in this work have been classified into three volumes each consisting of several parts. All three volumes carry a final part consisting of the contents of the other two, as well as the complete list of Professor Puri'spublications.

Probability Theory and Extreme Value Theory

Author : Madan Lal Puri
Publisher : Walter de Gruyter
ISBN 13 : 3110917823
Total Pages : 760 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Probability Theory and Extreme Value Theory by : Madan Lal Puri

Download or read book Probability Theory and Extreme Value Theory written by Madan Lal Puri and published by Walter de Gruyter. This book was released on 2011-07-11 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Dynamical Systems

Author : Rabi Bhattacharya
Publisher : Cambridge University Press
ISBN 13 : 1139461621
Total Pages : 5 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Random Dynamical Systems by : Rabi Bhattacharya

Download or read book Random Dynamical Systems written by Rabi Bhattacharya and published by Cambridge University Press. This book was released on 2007-01-08 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: This treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from the theory of deterministic dynamical systems, with particular emphasis on applications to economics. The theory of irreducible Markov processes, especially Markov chains, is surveyed in Chapter 2. Equilibrium and long run stability of a dynamical system in which the law of motion is subject to random perturbations is the central theme of Chapters 3-5. A unified account of relatively recent results, exploiting splitting and contractions, that have found applications in many contexts is presented in detail. Chapter 6 explains how a random dynamical system may emerge from a class of dynamic programming problems. With examples and exercises, readers are guided from basic theory to the frontier of applied mathematical research.

Elliptic Problems in Nonsmooth Domains

Author : Pierre Grisvard
Publisher : SIAM
ISBN 13 : 1611972027
Total Pages : 426 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Elliptic Problems in Nonsmooth Domains by : Pierre Grisvard

Download or read book Elliptic Problems in Nonsmooth Domains written by Pierre Grisvard and published by SIAM. This book was released on 2011-10-20 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Boston: Pitman Advanced Pub. Program, 1985.

Lanczos Algorithms for Large Symmetric Eigenvalue Computations

Author : Jane K. Cullum
Publisher : SIAM
ISBN 13 : 0898715237
Total Pages : 290 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Lanczos Algorithms for Large Symmetric Eigenvalue Computations by : Jane K. Cullum

Download or read book Lanczos Algorithms for Large Symmetric Eigenvalue Computations written by Jane K. Cullum and published by SIAM. This book was released on 2002-09-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1985, this book presents background material, descriptions, and supporting theory relating to practical numerical algorithms for the solution of huge eigenvalue problems. This book deals with 'symmetric' problems. However, in this book, 'symmetric' also encompasses numerical procedures for computing singular values and vectors of real rectangular matrices and numerical procedures for computing eigenelements of nondefective complex symmetric matrices. Although preserving orthogonality has been the golden rule in linear algebra, most of the algorithms in this book conform to that rule only locally, resulting in markedly reduced memory requirements. Additionally, most of the algorithms discussed separate the eigenvalue (singular value) computations from the corresponding eigenvector (singular vector) computations. This separation prevents losses in accuracy that can occur in methods which, in order to be able to compute further into the spectrum, use successive implicit deflation by computed eigenvector or singular vector approximations.

Ordinary Differential Equations

Author : Philip Hartman
Publisher : SIAM
ISBN 13 : 9780898719222
Total Pages : 612 pages
Book Rating : 4.7/5 (192 download)

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Book Synopsis Ordinary Differential Equations by : Philip Hartman

Download or read book Ordinary Differential Equations written by Philip Hartman and published by SIAM. This book was released on 1982-01-01 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily. In addition to these results, the text illustrates techniques involving simple topological arguments, fixed point theorems, and basic facts of functional analysis. Unlike many texts, which supply only the standard simplified theorems, this book presents the basic theory of ODEs in a general way. This SIAM reissue of the 1982 second edition covers invariant manifolds, perturbations, and dichotomies, making the text relevant to current studies of geometrical theory of differential equations and dynamical systems. In particular, Ordinary Differential Equations includes the proof of the Hartman-Grobman theorem on the equivalence of a nonlinear to a linear flow in the neighborhood of a hyperbolic stationary point, as well as theorems on smooth equivalences, the smoothness of invariant manifolds, and the reduction of problems on ODEs to those on "maps" (Poincaré). Audience: readers should have knowledge of matrix theory and the ability to deal with functions of real variables.

A First Course in Order Statistics

Author : Barry C. Arnold
Publisher : SIAM
ISBN 13 : 0898716489
Total Pages : 291 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis A First Course in Order Statistics by : Barry C. Arnold

Download or read book A First Course in Order Statistics written by Barry C. Arnold and published by SIAM. This book was released on 2008-09-25 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated classic text will aid readers in understanding much of the current literature on order statistics: a flourishing field of study that is essential for any practising statistician and a vital part of the training for students in statistics. Written in a simple style that requires no advanced mathematical or statistical background, the book introduces the general theory of order statistics and their applications. The book covers topics such as distribution theory for order statistics from continuous and discrete populations, moment relations, bounds and approximations, order statistics in statistical inference and characterisation results, and basic asymptotic theory. There is also a short introduction to record values and related statistics. The authors have updated the text with suggestions for further reading that may be used for self-study. Written for advanced undergraduate and graduate students in statistics and mathematics, practising statisticians, engineers, climatologists, economists, and biologists.

Methods of Mathematical Economics

Author : Joel N. Franklin
Publisher : SIAM
ISBN 13 : 0898715091
Total Pages : 313 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Methods of Mathematical Economics by : Joel N. Franklin

Download or read book Methods of Mathematical Economics written by Joel N. Franklin and published by SIAM. This book was released on 2002-01-01 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Easy-to-read classic, covering Wolfe's method and the Kuhn-Tucker theory.

Stochastic Processes with Applications

Author : Rabi N. Bhattacharya
Publisher :
ISBN 13 : 9780387987927
Total Pages : pages
Book Rating : 4.9/5 (879 download)

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Book Synopsis Stochastic Processes with Applications by : Rabi N. Bhattacharya

Download or read book Stochastic Processes with Applications written by Rabi N. Bhattacharya and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for use in a graduate mathematics course in stochastic processes, this book is also suitable for students from sciences and engineering. Focusing on computation and examples, it contains Chapter applications at the end of the chapters, which are drawn from physics, computer science, economics, and engineering.

Perturbation Bounds for Matrix Eigenvalues

Author : Rajendra Bhatia
Publisher : SIAM
ISBN 13 : 0898716314
Total Pages : 200 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Perturbation Bounds for Matrix Eigenvalues by : Rajendra Bhatia

Download or read book Perturbation Bounds for Matrix Eigenvalues written by Rajendra Bhatia and published by SIAM. This book was released on 2007-07-19 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the SIAM Classics edition, the author has added over 60 pages of material covering recent results and discussing the important advances made in the last two decades. It is an excellent research reference for all those interested in operator theory, linear algebra, and numerical analysis.