Stochastic Comparisons With Applications

Author : Subhash C. Kochar
Publisher : Springer Nature
Page : 280 pages
File Size : 54,6 Mb
Release : 2022-10-22
Category : Mathematics
ISBN : 9783031121043

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Stochastic Comparisons with Applications by Subhash C. Kochar Pdf

This book emphasizes the use of stochastic orders as motivational tools for developing new statistical procedures. Stochastic orders have found useful applications in many disciplines, including reliability theory, survival analysis, risk theory, finance, nonparametric methods, economics and actuarial science. Written by a statistician, this volume clarifies the connection between stochastic orders and nonparametric methods. The importance of order statistics and spacings is well recognized. Classically, they mainly focus on the case when the observations are independent and identically distributed, however, several new developments have extended the comparison of order statistics to the case of non-identically distributed or non-independent observations. In addition to giving a detailed discussion of various topics in the general area of stochastic orders, a substantial part of the book is devoted to recent research on stochastic comparisons of order statistics and spacings, including a long chapter on dependence among them. The book will be useful for graduate students and researchers in statistics, economics, actuarial science and other related disciplines. In particular, with close to 300 references, it will be a valuable resource for reliability theorists, applied probabilists and statisticians. Readers are expected to have taken a first-year graduate level course in mathematical statistics or in applied probability.

Author : JOEL COHEN,J.H.B. Kempermann,G. Zbaganu
Publisher : Springer Science & Business Media
Page : 170 pages
File Size : 52,5 Mb
Release : 1998-09-29
Category : Mathematics
ISBN : 0817640827

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Comparisons of Stochastic Matrices with Applications in Information Theory, Statistics, Economics and Population by JOEL COHEN,J.H.B. Kempermann,G. Zbaganu Pdf

Some of the possible implications among these comparisons remain open questions. The results in this book establish a new field of investigation for both mathematicians and scientific users interested in the variations among multiple probability distributions.

Author : Moshe Shaked,J. George Shanthikumar
Publisher : Unknown
Page : 580 pages
File Size : 40,6 Mb
Release : 1994
Category : Mathematics
ISBN : UOM:39015053523026

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Stochastic Orders and Their Applications by Moshe Shaked,J. George Shanthikumar Pdf

Stochastic orders and inequalities are being used at an accelerated rate in many diverse areas of probability and statistics. This book provides the first unified, systematic, and accessible treatment of stochasticorders, addressing the growing importance of these orders with the presentation of numerous results that illustrate their usefulness and applicability. Ten insightful chapters emphasize the applications by specialists in probability and statistics, economics, operations research, and reliability theory. Applications include multivariate variability, epidemics, comparisons of risk and risk aversion, scheduling, and systems reliability theory.

Author : Haijun Li,Xiaohu Li
Publisher : Springer Science & Business Media
Page : 459 pages
File Size : 46,8 Mb
Release : 2013-06-22
Category : Mathematics
ISBN : 9781461468929

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Stochastic Orders in Reliability and Risk by Haijun Li,Xiaohu Li Pdf

Stochastic Orders in Reliability and Risk Management is composed of 19 contributions on the theory of stochastic orders, stochastic comparison of order statistics, stochastic orders in reliability and risk analysis, and applications. These review/exploratory chapters present recent and current research on stochastic orders reported at the International Workshop on Stochastic Orders in Reliability and Risk Management, or SORR2011, which took place in the City Hotel, Xiamen, China, from June 27 to June 29, 2011. The conference’s talks and invited contributions also represent the celebration of Professor Moshe Shaked, who has made comprehensive, fundamental contributions to the theory of stochastic orders and its applications in reliability, queueing modeling, operations research, economics and risk analysis. This volume is in honor of Professor Moshe Shaked. The work presented in this volume represents active research on stochastic orders and multivariate dependence, and exemplifies close collaborations between scholars working in different fields. The Xiamen Workshop and this volume seek to revive the community workshop tradition on stochastic orders and dependence and strengthen research collaboration, while honoring the work of a distinguished scholar.

Author : Felix Belzunce,Carolina Martinez Riquelme,Julio Mulero
Publisher : Academic Press
Page : 174 pages
File Size : 54,7 Mb
Release : 2015-09-29
Category : Mathematics
ISBN : 9780128038260

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An Introduction to Stochastic Orders by Felix Belzunce,Carolina Martinez Riquelme,Julio Mulero Pdf

An Introduction to Stochastic Orders discusses this powerful tool that can be used in comparing probabilistic models in different areas such as reliability, survival analysis, risks, finance, and economics. The book provides a general background on this topic for students and researchers who want to use it as a tool for their research. In addition, users will find detailed proofs of the main results and applications to several probabilistic models of interest in several fields, and discussions of fundamental properties of several stochastic orders, in the univariate and multivariate cases, along with applications to probabilistic models. Introduces stochastic orders and its notation Discusses different orders of univariate stochastic orders Explains multivariate stochastic orders and their convex, likelihood ratio, and dispersive orders

Author : N Balakrishnan,Jorge Navarro
Publisher : Birkhäuser
Page : 128 pages
File Size : 49,8 Mb
Release : 2017-07-10
Category : Mathematics
ISBN : 0817648127

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Stochastic Orderings for Order Statistics and Reliability Systems by N Balakrishnan,Jorge Navarro Pdf

This is the first book specifically devoted to the topic of stochastic orderings for order statistics. Combining classical and recent results, the work is a comprehensive overview of ordering properties for order statistics and related concepts. Special emphasis is placed on the connections between order statistics and coherent systems, applying results to reliability and survival studies. The work is an excellent reference for advanced undergraduates, graduate students, and researchers in statistics, mathematics, computer science, engineering, and medicine. The book may serve as a supplementary textbook for courses on ordering for order statistics and ordering coherent systems.

Author : Karl C. Mosler,Marco Scarsini
Publisher : Unknown
Page : 396 pages
File Size : 53,5 Mb
Release : 1993
Category : Business & Economics
ISBN : UOM:39015032838206

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Stochastic Orders and Applications by Karl C. Mosler,Marco Scarsini Pdf

Author : Khalid Al-Begain,Dieter Fiems,William Knottenbelt
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 45,8 Mb
Release : 2010-06
Category : Computers
ISBN : 9783642135675

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Analytical and Stochastic Modeling Techniques and Applications by Khalid Al-Begain,Dieter Fiems,William Knottenbelt Pdf

This book constitutes the refereed proceedings of the 17th International Conference on Analytical and Stochastic Modeling Techniques and Applications, ASMTA 2010, held in Cardiff, UK, in June 2010. The 28 revised full papers presented were carefully reviewed and selected from numerous submissions for inclusion in the book. The papers are organized in topical sections on queueing theory, specification languages and tools, telecommunication systems, estimation, prediction, and stochastic modelling.

Author : Andreas Makrides,Alex Karagrigoriou,Christos H. Skiadas
Publisher : John Wiley & Sons
Page : 241 pages
File Size : 41,7 Mb
Release : 2020-04-09
Category : Mathematics
ISBN : 9781119721581

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Data Analysis and Applications 4 by Andreas Makrides,Alex Karagrigoriou,Christos H. Skiadas Pdf

Data analysis as an area of importance has grown exponentially, especially during the past couple of decades. This can be attributed to a rapidly growing computer industry and the wide applicability of computational techniques, in conjunction with new advances of analytic tools. This being the case, the need for literature that addresses this is self-evident. New publications are appearing, covering the need for information from all fields of science and engineering, thanks to the universal relevance of data analysis and statistics packages. This book is a collective work by a number of leading scientists, analysts, engineers, mathematicians and statisticians who have been working at the forefront of data analysis. The chapters included in this volume represent a cross-section of current concerns and research interests in these scientific areas. The material is divided into three parts: Financial Data Analysis and Methods, Statistics and Stochastic Data Analysis and Methods, and Demographic Methods and Data Analysis- providing the reader with both theoretical and applied information on data analysis methods, models and techniques and appropriate applications.

Author : Liliana Blanco Castañeda,Viswanathan Arunachalam,Selvamuthu Dharmaraja
Publisher : John Wiley & Sons
Page : 741 pages
File Size : 40,5 Mb
Release : 2014-08-21
Category : Mathematics
ISBN : 9781118344965

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Introduction to Probability and Stochastic Processes with Applications by Liliana Blanco Castañeda,Viswanathan Arunachalam,Selvamuthu Dharmaraja Pdf

An easily accessible, real-world approach to probability and stochastic processes Introduction to Probability and Stochastic Processes with Applications presents a clear, easy-to-understand treatment of probability and stochastic processes, providing readers with a solid foundation they can build upon throughout their careers. With an emphasis on applications in engineering, applied sciences, business and finance, statistics, mathematics, and operations research, the book features numerous real-world examples that illustrate how random phenomena occur in nature and how to use probabilistic techniques to accurately model these phenomena. The authors discuss a broad range of topics, from the basic concepts of probability to advanced topics for further study, including Itô integrals, martingales, and sigma algebras. Additional topical coverage includes: Distributions of discrete and continuous random variables frequently used in applications Random vectors, conditional probability, expectation, and multivariate normal distributions The laws of large numbers, limit theorems, and convergence of sequences of random variables Stochastic processes and related applications, particularly in queueing systems Financial mathematics, including pricing methods such as risk-neutral valuation and the Black-Scholes formula Extensive appendices containing a review of the requisite mathematics and tables of standard distributions for use in applications are provided, and plentiful exercises, problems, and solutions are found throughout. Also, a related website features additional exercises with solutions and supplementary material for classroom use. Introduction to Probability and Stochastic Processes with Applications is an ideal book for probability courses at the upper-undergraduate level. The book is also a valuable reference for researchers and practitioners in the fields of engineering, operations research, and computer science who conduct data analysis to make decisions in their everyday work.

Author : Moshe Shaked,J. George Shanthikumar
Publisher : Springer Science & Business Media
Page : 482 pages
File Size : 48,6 Mb
Release : 2007-04-03
Category : Mathematics
ISBN : 9780387346755

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Stochastic Orders by Moshe Shaked,J. George Shanthikumar Pdf

This reference text presents comprehensive coverage of the various notions of stochastic orderings, their closure properties, and their applications. Some of these orderings are routinely used in many applications in economics, finance, insurance, management science, operations research, statistics, and various other fields. And the value of the other notions of stochastic orderings needs further exploration. This book is an ideal reference for those interested in decision making under uncertainty and interested in the analysis of complex stochastic systems. It is suitable as a text for advanced graduate course on stochastic ordering and applications.

Author : Karl Mosler,Marco Scarsini
Publisher : Springer Science & Business Media
Page : 385 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642499722

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Stochastic Orders and Applications by Karl Mosler,Marco Scarsini Pdf

A bibliography on stochastic orderings. Was there a real need for it? In a time of reference databases as the MathSci or the Science Citation Index or the Social Science Citation Index the answer seems to be negative. The reason we think that this bibliog raphy might be of some use stems from the frustration that we, as workers in the field, have often experienced by finding similar results being discovered and proved over and over in different journals of different disciplines with different levels of mathematical so phistication and accuracy and most of the times without cross references. Of course it would be very unfair to blame an economist, say, for not knowing a result in mathematical physics, or vice versa, especially when the problems and the languages are so far apart that it is often difficult to recognize the analogies even after further scrutiny. We hope that collecting the references on this topic, regardless of the area of application, will be of some help, at least to pinpoint the problem. We use the term stochastic ordering in a broad sense to denote any ordering relation on a space of probability measures. Questions that can be related to the idea of stochastic orderings are as old as probability itself. Think for instance of the problem of comparing two gambles in order to decide which one is more favorable.

Author : Sergei Silvestrov,Anatoliy Malyarenko,Milica Rančić
Publisher : Springer Nature
Page : 976 pages
File Size : 40,8 Mb
Release : 2020-06-18
Category : Mathematics
ISBN : 9783030418502

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Algebraic Structures and Applications by Sergei Silvestrov,Anatoliy Malyarenko,Milica Rančić Pdf

This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.

Author : Simo Särkkä,Arno Solin
Publisher : Cambridge University Press
Page : 327 pages
File Size : 49,9 Mb
Release : 2019-05-02
Category : Business & Economics
ISBN : 9781316510087

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Applied Stochastic Differential Equations by Simo Särkkä,Arno Solin Pdf

With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

Author : D N Shanbhag,Calyampudi Radhakrishna Rao
Publisher : Gulf Professional Publishing
Page : 990 pages
File Size : 40,9 Mb
Release : 2001
Category : Mathematics
ISBN : 0444500146

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Stochastic Processes: Theory and Methods by D N Shanbhag,Calyampudi Radhakrishna Rao Pdf

This volume in the series contains chapters on areas such as pareto processes, branching processes, inference in stochastic processes, Poisson approximation, Levy processes, and iterated random maps and some classes of Markov processes. Other chapters cover random walk and fluctuation theory, a semigroup representation and asymptomatic behavior of certain statistics of the Fisher-Wright-Moran coalescent, continuous-time ARMA processes, record sequence and their applications, stochastic networks with product form equilibrium, and stochastic processes in insurance and finance. Other subjects include renewal theory, stochastic processes in reliability, supports of stochastic processes of multiplicity one, Markov chains, diffusion processes, and Ito's stochastic calculus and its applications. c. Book News Inc.