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Book Order Relations in the Set of Probability Distribution Functions and Their Applications in Queueing Theory

Download or read book Order Relations in the Set of Probability Distribution Functions and Their Applications in Queueing Theory written by Tomasz Rolski and published by . This book was released on 1976 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Stochastic Orders and Applications

Download or read book Stochastic Orders and Applications written by Karl Mosler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Stochastic Ordering and Dependence in Applied Probability

Download or read book Stochastic Ordering and Dependence in Applied Probability written by R. Szekli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductionary course in stochastic ordering and dependence in the field of applied probability for readers with some background in mathematics. It is based on lectures and senlinars I have been giving for students at Mathematical Institute of Wroclaw University, and on a graduate course a.t Industrial Engineering Department of Texas A&M University, College Station, and addressed to a reader willing to use for example Lebesgue measure, conditional expectations with respect to sigma fields, martingales, or compensators as a common language in this field. In Chapter 1 a selection of one dimensional orderings is presented together with applications in the theory of queues, some parts of this selection are based on the recent literature (not older than five years). In Chapter 2 the material is centered around the strong stochastic ordering in many dimen sional spaces and functional spaces. Necessary facts about conditioning, Markov processes an"d point processes are introduced together with some classical results such as the product formula and Poissonian departure theorem for Jackson networks, or monotonicity results for some re newal processes, then results on stochastic ordering of networks, re~~ment policies and single server queues connected with Markov renewal processes are given. Chapter 3 is devoted to dependence and relations between dependence and ordering, exem plified by results on queueing networks and point processes among others.

Book Stochastic Orders

    Book Details:
  • Author : Moshe Shaked
  • Publisher : Springer Science & Business Media
  • Release : 2007-04-03
  • ISBN : 0387346759
  • Pages : 482 pages

Download or read book Stochastic Orders written by Moshe Shaked and published by Springer Science & Business Media. This book was released on 2007-04-03 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Stochastic Processes for Insurance and Finance

Download or read book Stochastic Processes for Insurance and Finance written by Tomasz Rolski and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Processes for Insurance and Finance offers a thorough yet accessible reference for researchers and practitioners of insurance mathematics. Building on recent and rapid developments in applied probability, the authors describe in general terms models based on Markov processes, martingales and various types of point processes. Discussing frequently asked insurance questions, the authors present a coherent overview of the subject and specifically address: The principal concepts from insurance and finance Practical examples with real life data Numerical and algorithmic procedures essential for modern insurance practices Assuming competence in probability calculus, this book will provide a fairly rigorous treatment of insurance risk theory recommended for researchers and students interested in applied probability as well as practitioners of actuarial sciences. Wiley Series in Probability and Statistics

Book Stationary Random Processes Associated with Point Processes

Download or read book Stationary Random Processes Associated with Point Processes written by Tomasz Rolski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this set of notes we study a notion of a random process assoc- ted with a point process. The presented theory was inSpired by q- ueing problems. However it seems to be of interest in other branches of applied probability, as for example reliability or dam theory. Using developed tools, we work out known, aswell as new results from queueing or dam theory. Particularly queues which cannot be treated by standard techniques serve as illustrations of the theory. In Chapter 1 the preliminaries are given. We acquaint the reader with the main ideas of these notes, introduce some useful notations, concepts and abbreviations. He also recall basic facts from ergodic theory, an important mathematical tool employed in these notes. Finally some basic notions from queues are reviewed. Chapter 2 deals with discrete time theory. It serves two purposes. The first one is to let the reader get acquainted with the main lines of the theory needed in continuous time without being bothered by tech nical details. However the discrete time theory also seems to be of interest itself. There are examples which have no counte~ in continuous time. Chapter 3 deals with continuous time theory. It also contains many basic results from queueing or dam theory. Three applications of the continuous time theory are given in Chapter 4. We show how to use the theory in order to get some useful bounds for the stationary distribution of a random process.

Book Stochastic Orders and Decision Under Risk

Download or read book Stochastic Orders and Decision Under Risk written by Karl C. Mosler and published by IMS. This book was released on 1991 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book System And Bayesian Reliability  Essays In Honor Of Professor Richard E Barlow On His 70th Birthday

Download or read book System And Bayesian Reliability Essays In Honor Of Professor Richard E Barlow On His 70th Birthday written by Yu Hayakawa and published by World Scientific. This book was released on 2001-12-21 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of articles on reliability systems and Bayesian reliability analysis. Written by reputable researchers, the articles are self-contained and are linked with literature reviews and new research ideas. The book is dedicated to Emeritus Professor Richard E Barlow, who is well known for his pioneering research on reliability theory and Bayesian reliability analysis.

Book Journal of Applied Probability

Download or read book Journal of Applied Probability written by and published by . This book was released on 2003 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Catalog of Copyright Entries  Third Series

Download or read book Catalog of Copyright Entries Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1978 with total page 1686 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Some Investigations in Minimax Estimation Theory

Download or read book Some Investigations in Minimax Estimation Theory written by Stanisław Trybula and published by . This book was released on 1985 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Annales Polonici mathematici

Download or read book Annales Polonici mathematici written by and published by . This book was released on 1975 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Projective Abelian Hopf Algebras Over a Field

Download or read book Projective Abelian Hopf Algebras Over a Field written by Andrzej Skowroński and published by . This book was released on 1983 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Prime Mappings  Number of Factors  and Binary Operations

Download or read book Prime Mappings Number of Factors and Binary Operations written by Eric K. Van Douwen and published by . This book was released on 1981 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Structure Properties of D R Spaces

Download or read book Structure Properties of D R Spaces written by Hartmut Von Trotha and published by . This book was released on 1981 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Ordered Categories with Involution

Download or read book Ordered Categories with Involution written by Mikhail Shamshonovich T︠S︡alenko and published by . This book was released on 1984 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: