Point Processes with a Generalized Order Statistic Property

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Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832519599
Total Pages : 154 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Point Processes with a Generalized Order Statistic Property by : Birgit Debrabant

Download or read book Point Processes with a Generalized Order Statistic Property written by Birgit Debrabant and published by Logos Verlag Berlin GmbH. This book was released on 2008 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mixed Poisson processes are a well known class of point processes derived from (stationary) Poisson processes. In particular they cover cases where the intensity of a Poisson process is unknown but can be assumed to follow a known probability distribution. This situation is common e. g. in insurance mathematics where for instance the number of accident claims in which an individual is involved and which is evolving over some time can in principal be well described by a Poisson process with an individual, yet normally unknown intensity corresponding to the individual's accident proneness. Modelling this intensity as a random variable naturally leads to a mixed model. Usually, an insurance company will have a good estimate of the associated mixing distribution due to its large portfolio of policies.

An Introduction to the Theory of Point Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 1475720017
Total Pages : 720 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis An Introduction to the Theory of Point Processes by : Daryl J. Daley

Download or read book An Introduction to the Theory of Point Processes written by Daryl J. Daley and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic point processes are sets of randomly located points in time, on the plane or in some general space. This book provides a general introduction to the theory, starting with simple examples and an historical overview, and proceeding to the general theory. It thoroughly covers recent work in a broad historical perspective in an attempt to provide a wider audience with insights into recent theoretical developments. It contains numerous examples and exercises. This book aims to bridge the gap between informal treatments concerned with applications and highly abstract theoretical treatments.

Point Processes

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Publisher : Routledge
ISBN 13 : 1351423851
Total Pages : 171 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Point Processes by : D.R. Cox

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 171 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.

Point Processes and Their Statistical Inference

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Publisher : Routledge
ISBN 13 : 1351423835
Total Pages : 509 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Point Processes and Their Statistical Inference by : Alan Karr

Download or read book Point Processes and Their Statistical Inference written by Alan Karr and published by Routledge. This book was released on 2017-09-06 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maintaining the excellent features that made the first edition so popular, this outstanding reference/text presents the only comprehensive treatment of the theory of point processes and statistical inference for point processes-highlighting both pointprocesses on the real line and sp;,.tial point processes. Thoroughly updated and revised to reflect changes since publication of the firstedition, the expanded Second EdiLion now contains a better organized and easierto-understand treatment of stationary point processes ... expanded treatment ofthe multiplicative intensity model ... expanded treatment of survival analysis . ..broadened consideration of applications ... an expanded and extended bibliographywith over 1,000 references ... and more than 3('() end-of-chapter exercises.

Stochastic Orders in Reliability and Risk

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Publisher : Springer Science & Business Media
ISBN 13 : 1461468922
Total Pages : 459 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Stochastic Orders in Reliability and Risk by : Haijun Li

Download or read book Stochastic Orders in Reliability and Risk written by Haijun Li and published by Springer Science & Business Media. This book was released on 2013-06-22 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Point Processes

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Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173195594
Total Pages : 352 pages
Book Rating : 4.1/5 (955 download)

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Book Synopsis Stochastic Point Processes by : S. Kidambi Srinivasan

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.

Mixed Poisson Processes

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Publisher : CRC Press
ISBN 13 : 1000109992
Total Pages : 281 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Mixed Poisson Processes by : J Grandell

Download or read book Mixed Poisson Processes written by J Grandell and published by CRC Press. This book was released on 2020-10-28 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: To date, Mixed Poisson processes have been studied by scientists primarily interested in either insurance mathematics or point processes. Work in one area has often been carried out without knowledge of the other area. Mixed Poisson Processes is the first book to combine and concentrate on these two themes, and to distinguish between the notions of distributions and processes. The first part of the text gives special emphasis to the estimation of the underlying intensity, thinning, infinite divisibility, and reliability properties. The second part is, to a greater extent, based on Lundberg's thesis.

An Introduction to the Theory of Point Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 0387215646
Total Pages : 487 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis An Introduction to the Theory of Point Processes by : D.J. Daley

Download or read book An Introduction to the Theory of Point Processes written by D.J. Daley and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Point processes and random measures find wide applicability in telecommunications, earthquakes, image analysis, spatial point patterns, and stereology, to name but a few areas. The authors have made a major reshaping of their work in their first edition of 1988 and now present their Introduction to the Theory of Point Processes in two volumes with sub-titles Elementary Theory and Models and General Theory and Structure. Volume One contains the introductory chapters from the first edition, together with an informal treatment of some of the later material intended to make it more accessible to readers primarily interested in models and applications. The main new material in this volume relates to marked point processes and to processes evolving in time, where the conditional intensity methodology provides a basis for model building, inference, and prediction. There are abundant examples whose purpose is both didactic and to illustrate further applications of the ideas and models that are the main substance of the text.

Statistical Inference and Simulation for Spatial Point Processes

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Publisher : CRC Press
ISBN 13 : 9780203496930
Total Pages : 320 pages
Book Rating : 4.4/5 (969 download)

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Book Synopsis Statistical Inference and Simulation for Spatial Point Processes by : Jesper Moller

Download or read book Statistical Inference and Simulation for Spatial Point Processes written by Jesper Moller and published by CRC Press. This book was released on 2003-09-25 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial point processes play a fundamental role in spatial statistics and today they are an active area of research with many new applications. Although other published works address different aspects of spatial point processes, most of the classical literature deals only with nonparametric methods, and a thorough treatment of the theory and applications of simulation-based inference is difficult to find. Written by researchers at the top of the field, this book collects and unifies recent theoretical advances and examples of applications. The authors examine Markov chain Monte Carlo algorithms and explore one of the most important recent developments in MCMC: perfect simulation procedures.

Non-Life Insurance Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540882332
Total Pages : 435 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Non-Life Insurance Mathematics by : Thomas Mikosch

Download or read book Non-Life Insurance Mathematics written by Thomas Mikosch and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties....The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy." --Zentralblatt für Didaktik der Mathematik

Journal of Statistical Planning and Inference

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Publisher :
ISBN 13 :
Total Pages : 1216 pages
Book Rating : 4.3/5 (758 download)

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Book Synopsis Journal of Statistical Planning and Inference by : North-Holland Publishing Company

Download or read book Journal of Statistical Planning and Inference written by North-Holland Publishing Company and published by . This book was released on 1997 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Spatial Point-Pattern Analysis in Ecology

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Publisher : CRC Press
ISBN 13 : 142008254X
Total Pages : 542 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Spatial Point-Pattern Analysis in Ecology by : Thorsten Wiegand

Download or read book Handbook of Spatial Point-Pattern Analysis in Ecology written by Thorsten Wiegand and published by CRC Press. This book was released on 2013-12-20 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand How to Analyze and Interpret Information in Ecological Point Patterns Although numerous statistical methods for analyzing spatial point patterns have been available for several decades, they haven’t been extensively applied in an ecological context. Addressing this gap, Handbook of Spatial Point-Pattern Analysis in Ecology shows how the techniques of point-pattern analysis are useful for tackling ecological problems. Within an ecological framework, the book guides readers through a variety of methods for different data types and aids in the interpretation of the results obtained by point-pattern analysis. Ideal for empirical ecologists who want to avoid advanced theoretical literature, the book covers statistical techniques for analyzing and interpreting the information contained in ecological patterns. It presents methods used to extract information hidden in spatial point-pattern data that may point to the underlying processes. The authors focus on point processes and null models that have proven their immediate utility for broad ecological applications, such as cluster processes. Along with the techniques, the handbook provides a comprehensive selection of real-world examples. Most of the examples are analyzed using Programita, a continuously updated software package based on the authors’ many years of teaching and collaborative research in ecological point-pattern analysis. Programita is tailored to meet the needs of real-world applications in ecology. The software and a manual are available online.

Point Process Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644636
Total Pages : 325 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Point Process Theory and Applications by : Martin Jacobsen

Download or read book Point Process Theory and Applications written by Martin Jacobsen and published by Springer Science & Business Media. This book was released on 2006-07-27 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematically rigorous exposition of the basic theory of marked point processes and piecewise deterministic stochastic processes Point processes are constructed from scratch with detailed proofs Includes applications with examples and exercises in survival analysis, branching processes, ruin probabilities, sports (soccer), finance and risk management, and queueing theory Accessible to a wider cross-disciplinary audience

Lectures on the Poisson Process

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Publisher : Cambridge University Press
ISBN 13 : 1107088011
Total Pages : 315 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Lectures on the Poisson Process by : Günter Last

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.

Loss Models

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Publisher : John Wiley & Sons
ISBN 13 : 1118343565
Total Pages : 368 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Loss Models by : Stuart A. Klugman

Download or read book Loss Models written by Stuart A. Klugman and published by John Wiley & Sons. This book was released on 2013-08-05 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential resource for constructing and analyzing advanced actuarial models Loss Models: Further Topics presents extended coverage of modeling through the use of tools related to risk theory, loss distributions, and survival models. The book uses these methods to construct and evaluate actuarial models in the fields of insurance and business. Providing an advanced study of actuarial methods, the book features extended discussions of risk modeling and risk measures, including Tail-Value-at-Risk. Loss Models: Further Topics contains additional material to accompany the Fourth Edition of Loss Models: From Data to Decisions, such as: Extreme value distributions Coxian and related distributions Mixed Erlang distributions Computational and analytical methods for aggregate claim models Counting processes Compound distributions with time-dependent claim amounts Copula models Continuous time ruin models Interpolation and smoothing The book is an essential reference for practicing actuaries and actuarial researchers who want to go beyond the material required for actuarial qualification. Loss Models: Further Topics is also an excellent resource for graduate students in the actuarial field.

Random Point Processes

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Random Point Processes by : Donald Lee Snyder

Download or read book Random Point Processes written by Donald Lee Snyder and published by Wiley-Interscience. This book was released on 1975 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Analysis of Spatial Point Patterns

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Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Statistical Analysis of Spatial Point Patterns by : Peter Diggle

Download or read book Statistical Analysis of Spatial Point Patterns written by Peter Diggle and published by . This book was released on 1983 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction; Preliminary testing for mapped patterns; Analysis of sparsely sampled patterns; Spatial point processes; Analysis of mapped patterns; Multivariate spatial point processes; Analysis of multivariate patterns.