Structural And Statistical Problems For A Class Of Stochastic Processes

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Structural and Statistical Problems for a Class of Stochastic Processes

Author : Harald Cramér
Publisher : Princeton University Press
ISBN 13 : 1400885868
Total Pages : 33 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Structural and Statistical Problems for a Class of Stochastic Processes by : Harald Cramér

Download or read book Structural and Statistical Problems for a Class of Stochastic Processes written by Harald Cramér and published by Princeton University Press. This book was released on 2017-03-14 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Cramer, author of the pivotal Mathematical Methods of Statistics (1946), examines problems in the theory of stochastic processes that can be considered as generalizations of problems in the classical theory of statistical inference. He discusses first the representation formula and then treats its application to the multiplicity problem, classes of processes with multiplicity N= 1, normal or Gaussian processes. He concludes with a discussion of problems of estimation for a normal process. A distinguished mathematician, Harald Cramer has been President of the University of Stockholm and Chancellor of the Swedish Universities. He is a member of many professional societies, including the Royal Swedish Academy of Science and the American Academy of Arts and Sciences. Originally published in 1971. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Structural and Statistics Problems for a Class of Stochastic Processes

Author : Harald Cramér
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (221 download)

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Book Synopsis Structural and Statistics Problems for a Class of Stochastic Processes by : Harald Cramér

Download or read book Structural and Statistics Problems for a Class of Stochastic Processes written by Harald Cramér and published by . This book was released on 1971 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structural and Statistical Problems for a Class of Stochastic Processes: The First Samuel Stanley Wilks Lecture at Princeton University, March 7, 1970

Download Structural and Statistical Problems for a Class of Stochastic Processes: The First Samuel Stanley Wilks Lecture at Princeton University, March 7, 1970 PDF Online Free

Author : Harald Cram?er
Publisher :
ISBN 13 : 9780691080994
Total Pages : pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Structural and Statistical Problems for a Class of Stochastic Processes: The First Samuel Stanley Wilks Lecture at Princeton University, March 7, 1970 by : Harald Cram?er

Download or read book Structural and Statistical Problems for a Class of Stochastic Processes: The First Samuel Stanley Wilks Lecture at Princeton University, March 7, 1970 written by Harald Cram?er and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes and Functional Analysis

Author : Randall J. Swift
Publisher : American Mathematical Society
ISBN 13 : 1470459825
Total Pages : 248 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Stochastic Processes and Functional Analysis by : Randall J. Swift

Download or read book Stochastic Processes and Functional Analysis written by Randall J. Swift and published by American Mathematical Society. This book was released on 2021-11-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Celebrating M. M. Rao's Many Mathematical Contributions as he Turns 90 Years Old, held from November 9–10, 2019, at the University of California, Riverside, California. The articles show the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes and their applications. The volume also includes a biography of M. M. Rao and the list of his publications.

Stochastic Processes - Inference Theory

Author : Malempati M. Rao
Publisher : Springer
ISBN 13 : 3319121723
Total Pages : 685 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Stochastic Processes - Inference Theory by : Malempati M. Rao

Download or read book Stochastic Processes - Inference Theory written by Malempati M. Rao and published by Springer. This book was released on 2014-11-14 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the revised and enlarged 2nd edition of the authors’ original text, which was intended to be a modest complement to Grenander's fundamental memoir on stochastic processes and related inference theory. The present volume gives a substantial account of regression analysis, both for stochastic processes and measures, and includes recent material on Ridge regression with some unexpected applications, for example in econometrics. The first three chapters can be used for a quarter or semester graduate course on inference on stochastic processes. The remaining chapters provide more advanced material on stochastic analysis suitable for graduate seminars and discussions, leading to dissertation or research work. In general, the book will be of interest to researchers in probability theory, mathematical statistics and electrical and information theory.

Stochastic Processes

Author : Malempati M. Rao
Publisher : Springer Science & Business Media
ISBN 13 : 1475765967
Total Pages : 656 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Stochastic Processes by : Malempati M. Rao

Download or read book Stochastic Processes written by Malempati M. Rao and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material accumulated and presented in this volume can be ex plained easily. At the start of my graduate studies in the early 1950s, I Grenander's (1950) thesis, and was much attracted to the came across entire subject considered there. I then began preparing for the neces sary mathematics to appreciate and possibly make some contributions to the area. Thus after a decade of learning and some publications on the way, I wanted to write a modest monograph complementing Grenander's fundamental memoir. So I took a sabbatical leave from my teaching position at the Carnegie-Mellon University, encouraged by an Air Force Grant for the purpose, and followed by a couple of years more learning opportunity at the Institute for Advanced Study to complete the project. As I progressed, the plan grew larger needing a substantial background material which was made into an independent initial volume in (1979). In its preface I said: "My intension was to present the following material as the first part of a book treating the In ference Theory of stochastic processes, but the latter account has now receded to a distant future," namely for two more decades! Meanwhile, a much enlarged second edition of that early work has appeared (1995), and now I am able to present the main part of the original plan.

Essentials of Stochastic Processes

Author : Richard Durrett
Publisher : Springer
ISBN 13 : 3319456148
Total Pages : 282 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Essentials of Stochastic Processes by : Richard Durrett

Download or read book Essentials of Stochastic Processes written by Richard Durrett and published by Springer. This book was released on 2016-11-07 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance.

Statistical Data Analysis and Inference

Author : Y. Dodge
Publisher : Elsevier
ISBN 13 : 1483296113
Total Pages : 630 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Statistical Data Analysis and Inference by : Y. Dodge

Download or read book Statistical Data Analysis and Inference written by Y. Dodge and published by Elsevier. This book was released on 2014-05-23 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide range of topics and perspectives in the field of statistics are brought together in this volume. The contributions originate from invited papers presented at an international conference which was held in honour of C. Radhakrishna Rao, one of the most eminent statisticians of our time and a distinguished scientist.

Estimation of stochastic input-output models

Author : S.D. Gerking
Publisher : Springer Science & Business Media
ISBN 13 : 1461343623
Total Pages : 98 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Estimation of stochastic input-output models by : S.D. Gerking

Download or read book Estimation of stochastic input-output models written by S.D. Gerking and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a revision of my Indiana University doctoral disserta tion which was completed in April, 1975. Thanks are, therefore, due to the members of my doctoral committee: Saul Pleeter (Chairman), David J. Behling, R. Jeffery Green, Richard L. Pfister, and Elmus Wicker for their helpful comments on previous versions of the manuscript. In addition, I am indebted to the Division of Research and to the Office of Research and Advanced Studies at Indiana University for financial support. As the reader will observe, the techniques developed in Chapters 3 and 4 of this monograph are illustrated using input-output data from West Virginia. These data were generously made available by William H. Miernyk, Director of the Regional Research Institute at West Virginia University. I also wish to acknowledge the Bureau of Business and Eco nomic Research at Arizona State University for providing two research assistants, Kevin A. Nosbisch and Tom R. Rex, who aided in processing the West Virginia data. A third research assistant, Phillip M. Cano, also worked on this project as part of an independent study program taken under my direction during the spring semester of 1975. Finally, I must thank Mary Holguin and Margaret Shumway who expertly typed the final copy of the manuscript. Despite the efforts of all the individuals mentioned above, I assume responsibility for any errors which may remain.

An Introduction to Stochastic Modeling

Author : Howard M. Taylor
Publisher : Academic Press
ISBN 13 : 1483269272
Total Pages : 410 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis An Introduction to Stochastic Modeling by : Howard M. Taylor

Download or read book An Introduction to Stochastic Modeling written by Howard M. Taylor and published by Academic Press. This book was released on 2014-05-10 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.

Probability, Statistics, and Stochastic Processes

Author : Peter Olofsson
Publisher : John Wiley & Sons
ISBN 13 : 0470889748
Total Pages : 573 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Probability, Statistics, and Stochastic Processes by : Peter Olofsson

Download or read book Probability, Statistics, and Stochastic Processes written by Peter Olofsson and published by John Wiley & Sons. This book was released on 2012-05-22 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition ". . . an excellent textbook . . . well organized and neatly written." —Mathematical Reviews ". . . amazingly interesting . . ." —Technometrics Thoroughly updated to showcase the interrelationships between probability, statistics, and stochastic processes, Probability, Statistics, and Stochastic Processes, Second Edition prepares readers to collect, analyze, and characterize data in their chosen fields. Beginning with three chapters that develop probability theory and introduce the axioms of probability, random variables, and joint distributions, the book goes on to present limit theorems and simulation. The authors combine a rigorous, calculus-based development of theory with an intuitive approach that appeals to readers' sense of reason and logic. Including more than 400 examples that help illustrate concepts and theory, the Second Edition features new material on statistical inference and a wealth of newly added topics, including: Consistency of point estimators Large sample theory Bootstrap simulation Multiple hypothesis testing Fisher's exact test and Kolmogorov-Smirnov test Martingales, renewal processes, and Brownian motion One-way analysis of variance and the general linear model Extensively class-tested to ensure an accessible presentation, Probability, Statistics, and Stochastic Processes, Second Edition is an excellent book for courses on probability and statistics at the upper-undergraduate level. The book is also an ideal resource for scientists and engineers in the fields of statistics, mathematics, industrial management, and engineering.

Introduction to Stochastic Processes

Author : Gregory F. Lawler
Publisher : CRC Press
ISBN 13 : 1482286114
Total Pages : 249 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Introduction to Stochastic Processes by : Gregory F. Lawler

Download or read book Introduction to Stochastic Processes written by Gregory F. Lawler and published by CRC Press. This book was released on 2018-10-03 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing fundamental mathematical ideas rather than proofs, Introduction to Stochastic Processes, Second Edition provides quick access to important foundations of probability theory applicable to problems in many fields. Assuming that you have a reasonable level of computer literacy, the ability to write simple programs, and the access to software for linear algebra computations, the author approaches the problems and theorems with a focus on stochastic processes evolving with time, rather than a particular emphasis on measure theory. For those lacking in exposure to linear differential and difference equations, the author begins with a brief introduction to these concepts. He proceeds to discuss Markov chains, optimal stopping, martingales, and Brownian motion. The book concludes with a chapter on stochastic integration. The author supplies many basic, general examples and provides exercises at the end of each chapter. New to the Second Edition: Expanded chapter on stochastic integration that introduces modern mathematical finance Introduction of Girsanov transformation and the Feynman-Kac formula Expanded discussion of Itô's formula and the Black-Scholes formula for pricing options New topics such as Doob's maximal inequality and a discussion on self similarity in the chapter on Brownian motion Applicable to the fields of mathematics, statistics, and engineering as well as computer science, economics, business, biological science, psychology, and engineering, this concise introduction is an excellent resource both for students and professionals.

Stochastic Modelling of Social Processes

Author : Andreas Diekmann
Publisher : Academic Press
ISBN 13 : 1483266567
Total Pages : 352 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Stochastic Modelling of Social Processes by : Andreas Diekmann

Download or read book Stochastic Modelling of Social Processes written by Andreas Diekmann and published by Academic Press. This book was released on 2014-05-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Modelling of Social Processes provides information pertinent to the development in the field of stochastic modeling and its applications in the social sciences. This book demonstrates that stochastic models can fulfill the goals of explanation and prediction. Organized into nine chapters, this book begins with an overview of stochastic models that fulfill normative, predictive, and structural–analytic roles with the aid of the theory of probability. This text then examines the study of labor market structures using analysis of job and career mobility, which is one of the approaches taken by sociologists in research on the labor market. Other chapters consider the characteristic trends and patterns from data on divorces. This book discusses as well the two approaches of stochastic modeling of social processes, namely competing risk models and semi-Markov processes. The final chapter deals with the practical application of regression models of survival data. This book is a valuable resource for social scientists and statisticians.

Some Statistical Problems for Stochastic Processes in Continuous-time

Author : Mauro Piccioni
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (955 download)

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Book Synopsis Some Statistical Problems for Stochastic Processes in Continuous-time by : Mauro Piccioni

Download or read book Some Statistical Problems for Stochastic Processes in Continuous-time written by Mauro Piccioni and published by . This book was released on 1986 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Probability

Author : John H. Drew
Publisher : Springer Science & Business Media
ISBN 13 : 0387746765
Total Pages : 220 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Computational Probability by : John H. Drew

Download or read book Computational Probability written by John H. Drew and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title organizes computational probability methods into a systematic treatment. The book examines two categories of problems. "Algorithms for Continuous Random Variables" covers data structures and algorithms, transformations of random variables, and products of independent random variables. "Algorithms for Discrete Random Variables" discusses data structures and algorithms, sums of independent random variables, and order statistics.

Combinatorial Stochastic Processes

Author : Jim Pitman
Publisher : Springer Science & Business Media
ISBN 13 : 354030990X
Total Pages : 257 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Combinatorial Stochastic Processes by : Jim Pitman

Download or read book Combinatorial Stochastic Processes written by Jim Pitman and published by Springer Science & Business Media. This book was released on 2006-05-11 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes. There is particular focus on the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and connections between the asymptotic theory of enumeration of such structures and the theory of stochastic processes like Brownian motion and Poisson processes.

High Dimensional Probability II

Author : Evarist Giné
Publisher : Springer Science & Business Media
ISBN 13 : 1461213584
Total Pages : 491 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis High Dimensional Probability II by : Evarist Giné

Download or read book High Dimensional Probability II written by Evarist Giné and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: High dimensional probability, in the sense that encompasses the topics rep resented in this volume, began about thirty years ago with research in two related areas: limit theorems for sums of independent Banach space valued random vectors and general Gaussian processes. An important feature in these past research studies has been the fact that they highlighted the es sential probabilistic nature of the problems considered. In part, this was because, by working on a general Banach space, one had to discard the extra, and often extraneous, structure imposed by random variables taking values in a Euclidean space, or by processes being indexed by sets in R or Rd. Doing this led to striking advances, particularly in Gaussian process theory. It also led to the creation or introduction of powerful new tools, such as randomization, decoupling, moment and exponential inequalities, chaining, isoperimetry and concentration of measure, which apply to areas well beyond those for which they were created. The general theory of em pirical processes, with its vast applications in statistics, the study of local times of Markov processes, certain problems in harmonic analysis, and the general theory of stochastic processes are just several of the broad areas in which Gaussian process techniques and techniques from probability in Banach spaces have made a substantial impact. Parallel to this work on probability in Banach spaces, classical proba bility and empirical process theory were enriched by the development of powerful results in strong approximations.