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Author : J. Grandell
Publisher : Springer
ISBN 13 : 3540382585
Total Pages : 244 pages
Book Rating : 4.5/5 (43 download)
Download or read book Doubly Stochastic Poisson Processes written by J. Grandell and published by Springer. This book was released on 2006-11-14 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Grandell
Publisher :
ISBN 13 : 9780387077956
Total Pages : 140 pages
Book Rating : 4.0/5 (779 download)
Download or read book Weil's Representation and the Spectrum of the Metaplectic Group written by Jan Grandell and published by . This book was released on 1976 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mario Lefebvre
Publisher : Springer Science & Business Media
ISBN 13 : 0387489762
Total Pages : 395 pages
Book Rating : 4.3/5 (874 download)
Download or read book Applied Stochastic Processes written by Mario Lefebvre and published by Springer Science & Business Media. This book was released on 2007-12-14 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses a distinctly applied framework to present the most important topics in stochastic processes, including Gaussian and Markovian processes, Markov Chains, Poisson processes, Brownian motion and queueing theory. The book also examines in detail special diffusion processes, with implications for finance, various generalizations of Poisson processes, and renewal processes. It contains numerous examples and approximately 350 advanced problems that reinforce both concepts and applications. Entertaining mini-biographies of mathematicians give an enriching historical context. The book includes statistical tables and solutions to the even-numbered problems at the end.
Author : Günter Last
Publisher : Cambridge University Press
ISBN 13 : 1107088011
Total Pages : 315 pages
Book Rating : 4.1/5 (7 download)
Download or read book Lectures on the Poisson Process written by Günter Last and published by Cambridge University Press. This book was released on 2017-10-26 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern introduction to the Poisson process, with general point processes and random measures, and applications to stochastic geometry.
Author : J. F. C. Kingman
Publisher : Clarendon Press
ISBN 13 : 0191591246
Total Pages : 118 pages
Book Rating : 4.1/5 (915 download)
Download or read book Poisson Processes written by J. F. C. Kingman and published by Clarendon Press. This book was released on 1992-12-17 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the theory of random processes there are two that are fundamental, and occur over and over again, often in surprising ways. There is a real sense in which the deepest results are concerned with their interplay. One, the Bachelier Wiener model of Brownian motion, has been the subject of many books. The other, the Poisson process, seems at first sight humbler and less worthy of study in its own right. Nearly every book mentions it, but most hurry past to more general point processes or Markov chains. This comparative neglect is ill judged, and stems from a lack of perception of the real importance of the Poisson process. This distortion partly comes about from a restriction to one dimension, while the theory becomes more natural in more general context. This book attempts to redress the balance. It records Kingman's fascination with the beauty and wide applicability of Poisson processes in one or more dimensions. The mathematical theory is powerful, and a few key results often produce surprising consequences.
Author : Roy L. Streit
Publisher : Springer Science & Business Media
ISBN 13 : 1441969233
Total Pages : 274 pages
Book Rating : 4.4/5 (419 download)
Download or read book Poisson Point Processes written by Roy L. Streit and published by Springer Science & Business Media. This book was released on 2010-09-15 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Poisson Point Processes provides an overview of non-homogeneous and multidimensional Poisson point processes and their numerous applications. Readers will find constructive mathematical tools and applications ranging from emission and transmission computed tomography to multiple target tracking and distributed sensor detection, written from an engineering perspective. A valuable discussion of the basic properties of finite random sets is included. Maximum likelihood estimation techniques are discussed for several parametric forms of the intensity function, including Gaussian sums, together with their Cramer-Rao bounds. These methods are then used to investigate: -Several medical imaging techniques, including positron emission tomography (PET), single photon emission computed tomography (SPECT), and transmission tomography (CT scans) -Various multi-target and multi-sensor tracking applications, -Practical applications in areas like distributed sensing and detection, -Related finite point processes such as marked processes, hard core processes, cluster processes, and doubly stochastic processes, Perfect for researchers, engineers and graduate students working in electrical engineering and computer science, Poisson Point Processes will prove to be an extremely valuable volume for those seeking insight into the nature of these processes and their diverse applications.
Author : Richard Durrett
Publisher : Springer
ISBN 13 : 3319456148
Total Pages : 282 pages
Book Rating : 4.3/5 (194 download)
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.
Author : Sidney I. Resnick
Publisher : Springer Science & Business Media
ISBN 13 : 9780817635916
Total Pages : 646 pages
Book Rating : 4.6/5 (359 download)
Download or read book Adventures in Stochastic Processes written by Sidney I. Resnick and published by Springer Science & Business Media. This book was released on 1992-09-03 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic processes are necessary ingredients for building models of a wide variety of phenomena exhibiting time varying randomness. This text offers easy access to this fundamental topic for many students of applied sciences at many levels. It includes examples, exercises, applications, and computational procedures. It is uniquely useful for beginners and non-beginners in the field. No knowledge of measure theory is presumed.
Author : Miguel A. L. Nicolelis
Publisher : CRC Press
ISBN 13 : 142000641X
Total Pages : 308 pages
Book Rating : 4.4/5 (2 download)
Download or read book Methods for Neural Ensemble Recordings written by Miguel A. L. Nicolelis and published by CRC Press. This book was released on 2007-12-03 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensively updated and expanded, this second edition of a bestseller distills the current state-of-the-science and provides the nuts and bolts foundation of the methods involved in this rapidly growing science. With contributions from pioneering researchers, it includes microwire array design for chronic neural recordings, new surgical techniques for chronic implantation, microelectrode microstimulation of brain tissue, multielectrode recordings in the somatosensory system and during learning, as well as recordings from the central gustatory-reward pathways. It explores the use of Brain-Machine Interface to restore neurological function and proposes conceptual and technical approaches to human neural ensemble recordings in the future.
Author : Günter Last
Publisher : Springer Science & Business Media
ISBN 13 : 9780387945477
Total Pages : 522 pages
Book Rating : 4.9/5 (454 download)
Download or read book Marked Point Processes on the Real Line written by Günter Last and published by Springer Science & Business Media. This book was released on 1995-08-10 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a self-contained introduction to the dynamic martingale approach to marked point processes (MPP). Based on the notion of a compensator, this approach gives a versatile tool for analyzing and describing the stochastic properties of an MPP. In particular, the authors discuss the relationship of an MPP to its compensator and particular classes of MPP are studied in great detail. The theory is applied to study properties of dependent marking and thinning, to prove results on absolute continuity of point process distributions, to establish sufficient conditions for stochastic ordering between point and jump processes, and to solve the filtering problem for certain classes of MPPs.
Author : S. Kidambi Srinivasan
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173195594
Total Pages : 352 pages
Book Rating : 4.1/5 (955 download)
Download or read book Stochastic Point Processes written by S. Kidambi Srinivasan and published by Alpha Science Int'l Ltd.. This book was released on 2003 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Point Processes are interesting from many points of view. From and abstract point of view, point process is a simple version of random measure; these processes have acquired importance mainly due their viability in modeling a variety of phenomena spanning physical, biological, economic and engineering sciences. This volume with contributions from leading probabilists contains, besides surveys on the state-of-art of the theory, papers dealing with problems of queues, inventory, reliability and population evolution. There are also papers dealing with practical aspects like statistical inference and nonlinear filtering. The book will be of interest to a wide spectrum of people including those working in the area of operations research, signal processing, electrical communications & control and neural network.
Author : D.R. Cox
Publisher : Routledge
ISBN 13 : 1351423851
Total Pages : 206 pages
Book Rating : 4.3/5 (514 download)
Download or read book Point Processes written by D.R. Cox and published by Routledge. This book was released on 2018-12-19 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been much recent research on the theory of point processes, i.e., on random systems consisting of point events occurring in space or time. Applications range from emissions from a radioactive source, occurrences of accidents or machine breakdowns, or of electrical impluses along nerve fibres, to repetitive point events in an individual's medical or social history. Sometimes the point events occur in space rather than time and the application here raneg from statistical physics to geography. The object of this book is to develop the applied mathemathics of point processes at a level which will make the ideas accessible both to the research worker and the postgraduate student in probability and statistics and also to the mathemathically inclined individual in another field interested in using ideas and results. A thorough knowledge of the key notions of elementary probability theory is required to understand the book, but specialised "pure mathematical" coniderations have been avoided.
Author : Frank Beichelt
Publisher : CRC Press
ISBN 13 : 148225767X
Total Pages : 454 pages
Book Rating : 4.4/5 (822 download)
Download or read book Applied Probability and Stochastic Processes written by Frank Beichelt and published by CRC Press. This book was released on 2018-09-03 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Probability and Stochastic Processes, Second Edition presents a self-contained introduction to elementary probability theory and stochastic processes with a special emphasis on their applications in science, engineering, finance, computer science, and operations research. It covers the theoretical foundations for modeling time-dependent random phenomena in these areas and illustrates applications through the analysis of numerous practical examples. The author draws on his 50 years of experience in the field to give your students a better understanding of probability theory and stochastic processes and enable them to use stochastic modeling in their work. New to the Second Edition Completely rewritten part on probability theory—now more than double in size New sections on time series analysis, random walks, branching processes, and spectral analysis of stationary stochastic processes Comprehensive numerical discussions of examples, which replace the more theoretically challenging sections Additional examples, exercises, and figures Presenting the material in a student-friendly, application-oriented manner, this non-measure theoretic text only assumes a mathematical maturity that applied science students acquire during their undergraduate studies in mathematics. Many exercises allow students to assess their understanding of the topics. In addition, the book occasionally describes connections between probabilistic concepts and corresponding statistical approaches to facilitate comprehension. Some important proofs and challenging examples and exercises are also included for more theoretically interested readers.
Author : Nozer D. Singpurwalla
Publisher : Springer Science & Business Media
ISBN 13 : 1461205654
Total Pages : 302 pages
Book Rating : 4.4/5 (612 download)
Download or read book Statistical Methods in Software Engineering written by Nozer D. Singpurwalla and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: In establishing a framework for dealing with uncertainties in software engineering, and for using quantitative measures in related decision-making, this text puts into perspective the large body of work having statistical content that is relevant to software engineering. Aimed at computer scientists, software engineers, and reliability analysts who have some exposure to probability and statistics, the content is pitched at a level appropriate for research workers in software reliability, and for graduate level courses in applied statistics computer science, operations research, and software engineering.
Author : Donald L. Snyder
Publisher : Springer Science & Business Media
ISBN 13 : 1461231663
Total Pages : 489 pages
Book Rating : 4.4/5 (612 download)
Download or read book Random Point Processes in Time and Space written by Donald L. Snyder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revision of Random Point Processes written by D. L. Snyder and published by John Wiley and Sons in 1975. More emphasis is given to point processes on multidimensional spaces, especially to pro cesses in two dimensions. This reflects the tremendous increase that has taken place in the use of point-process models for the description of data from which images of objects of interest are formed in a wide variety of scientific and engineering disciplines. A new chapter, Translated Poisson Processes, has been added, and several of the chapters of the fIrst edition have been modifIed to accommodate this new material. Some parts of the fIrst edition have been deleted to make room. Chapter 7 of the fIrst edition, which was about general marked point-processes, has been eliminated, but much of the material appears elsewhere in the new text. With some re luctance, we concluded it necessary to eliminate the topic of hypothesis testing for point-process models. Much of the material of the fIrst edition was motivated by the use of point-process models in applications at the Biomedical Computer Labo ratory of Washington University, as is evident from the following excerpt from the Preface to the first edition. "It was Jerome R. Cox, Jr. , founder and [1974] director of Washington University's Biomedical Computer Laboratory, who ftrst interested me [D. L. S.
Author : Igor N. Kovalenko
Publisher : CRC Press
ISBN 13 : 9780849328701
Total Pages : 456 pages
Book Rating : 4.3/5 (287 download)
Download or read book Models of Random Processes written by Igor N. Kovalenko and published by CRC Press. This book was released on 1996-07-08 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devising and investigating random processes that describe mathematical models of phenomena is a major aspect of probability theory applications. Stochastic methods have penetrated into an unimaginably wide scope of problems encountered by researchers who need stochastic methods to solve problems and further their studies. This handbook supplies the knowledge you need on the modern theory of random processes. Packed with methods, Models of Random Processes: A Handbook for Mathematicians and Engineers presents definitions and properties on such widespread processes as Poisson, Markov, semi-Markov, Gaussian, and branching processes, and on special processes such as cluster, self-exiting, double stochastic Poisson, Gauss-Poisson, and extremal processes occurring in a variety of different practical problems. The handbook is based on an axiomatic definition of probability space, with strict definitions and constructions of random processes. Emphasis is placed on the constructive definition of each class of random processes, so that a process is explicitly defined by a sequence of independent random variables and can easily be implemented into the modelling. Models of Random Processes: A Handbook for Mathematicians and Engineers will be useful to researchers, engineers, postgraduate students and teachers in the fields of mathematics, physics, engineering, operations research, system analysis, econometrics, and many others.
Author : Waltraud Kahle
Publisher : John Wiley & Sons
ISBN 13 : 111930752X
Total Pages : 242 pages
Book Rating : 4.1/5 (193 download)
Download or read book Degradation Processes in Reliability written by Waltraud Kahle and published by John Wiley & Sons. This book was released on 2016-06-14 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Degradation process" refers to many types of reliability models, which correspond to various kinds of stochastic processes used for deterioration modeling. This book focuses on the case of a univariate degradation model with a continuous set of possible outcomes. The envisioned univariate models have one single measurable quantity which is assumed to be observed over time. The first three chapters are each devoted to one degradation model. The last chapter illustrates the use of the previously described degradation models on some real data sets. For each of the degradation models, the authors provide probabilistic results and explore simulation tools for sample paths generation. Various estimation procedures are also developed.
