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.

An Introduction to the Theory of Point Processes

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Author :
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.

An Introduction to the Theory of Point Processes: General theory and structure

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (2 download)

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

Download or read book An Introduction to the Theory of Point Processes: General theory and structure written by Daryl J. Daley and published by . This book was released on 2003 with total page 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. Volume Two returns to the general theory, with additional material on marked and spatial processes. The necessary mathematical background is reviewed in appendices located in Volume One. Daryl Daley is a Senior Fellow in the Centre for Mathematics and Applications at the Australian National University, with research publications in a diverse range of applied probability models and their analysis; he is co-author with Joe Gani of an introductory text in epidemic modelling. David Vere-Jones is an Emeritus Professor at Victoria University of Wellington, widely known for his contributions to Markov chains, point processes, applications in seismology.

An Introduction to the Theory of Point Processes: Elementary theory and methods

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (2 download)

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

Download or read book An Introduction to the Theory of Point Processes: Elementary theory and methods written by Daryl J. Daley and published by . This book was released on 2003 with total page 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. Volume Two returns to the general theory, with additional material on marked and spatial processes. The necessary mathematical background is reviewed in appendices located in Volume One. Daryl Daley is a Senior Fellow in the Centre for Mathematics and Applications at the Australian National University, with research publications in a diverse range of applied probability models and their analysis; he is co-author with Joe Gani of an introductory text in epidemic modelling. David Vere-Jones is an Emeritus Professor at Victoria University of Wellington, widely known for his contributions to Markov chains, point processes, applications in seismology.

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

An Introduction to the Theory of Point Processes

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (476 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 . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to the Theory of Point Processes

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (868 download)

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Book Synopsis Introduction to the Theory of Point Processes by :

Download or read book Introduction to the Theory of Point Processes written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Point Process Calculus in Time and Space

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Publisher : Springer Nature
ISBN 13 : 3030627535
Total Pages : 556 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Point Process Calculus in Time and Space by : Pierre Brémaud

Download or read book Point Process Calculus in Time and Space written by Pierre Brémaud and published by Springer Nature. This book was released on 2020-12-05 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory and applications of point processes, both in time and in space. Presenting the two components of point process calculus, the martingale calculus and the Palm calculus, it aims to develop the computational skills needed for the study of stochastic models involving point processes, providing enough of the general theory for the reader to reach a technical level sufficient for most applications. Classical and not-so-classical models are examined in detail, including Poisson–Cox, renewal, cluster and branching (Kerstan–Hawkes) point processes.The applications covered in this text (queueing, information theory, stochastic geometry and signal analysis) have been chosen not only for their intrinsic interest but also because they illustrate the theory. Written in a rigorous but not overly abstract style, the book will be accessible to earnest beginners with a basic training in probability but will also interest upper graduate students and experienced researchers.

Point Processes

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Publisher : Routledge
ISBN 13 : 135142386X
Total Pages : 188 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 188 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.

A Course on Point Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 1461393086
Total Pages : 261 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis A Course on Point Processes by : R.-D. Reiss

Download or read book A Course on Point Processes written by R.-D. Reiss and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook provides a straight-forward and mathematically rigorous introduction to the standard theory of point processes. The author's aim is to present an account which concentrates on the essentials and which places an emphasis on conveying an intuitive understanding of the subject. As a result, it provides a clear presentation of how statistical ideas can be viewed from this perspective and particular topics covered include the theory of extreme values and sampling from finite populations. Prerequisites are that the reader has a basic grounding in the mathematical theory of probability and statistics, but otherwise the book is self-contained. It arises from courses given by the author over a number of years and includes numerous exercises ranging from simple computations to more challenging explorations of ideas from the text.

Stochastic Analysis for Poisson Point Processes

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Publisher : Springer
ISBN 13 : 3319052330
Total Pages : 359 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Stochastic Analysis for Poisson Point Processes by : Giovanni Peccati

Download or read book Stochastic Analysis for Poisson Point Processes written by Giovanni Peccati and published by Springer. This book was released on 2016-07-07 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic geometry is the branch of mathematics that studies geometric structures associated with random configurations, such as random graphs, tilings and mosaics. Due to its close ties with stereology and spatial statistics, the results in this area are relevant for a large number of important applications, e.g. to the mathematical modeling and statistical analysis of telecommunication networks, geostatistics and image analysis. In recent years – due mainly to the impetus of the authors and their collaborators – a powerful connection has been established between stochastic geometry and the Malliavin calculus of variations, which is a collection of probabilistic techniques based on the properties of infinite-dimensional differential operators. This has led in particular to the discovery of a large number of new quantitative limit theorems for high-dimensional geometric objects. This unique book presents an organic collection of authoritative surveys written by the principal actors in this rapidly evolving field, offering a rigorous yet lively presentation of its many facets.

Point Processes and Jump Diffusions

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Publisher : Cambridge University Press
ISBN 13 : 1316518671
Total Pages : 323 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Point Processes and Jump Diffusions by : Tomas Björk

Download or read book Point Processes and Jump Diffusions written by Tomas Björk and published by Cambridge University Press. This book was released on 2021-06-17 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding and working knowledge of point-process theory as well as its applications in finance.

An Introduction to the Theory of Point Processes

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Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (589 download)

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Book Synopsis An Introduction to the Theory of Point Processes by : Carleton University. Laboratory for Research in Statistics and Probability

Download or read book An Introduction to the Theory of Point Processes written by Carleton University. Laboratory for Research in Statistics and Probability and published by . This book was released on 2005 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Synthetic Data and Generative AI

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Publisher : Elsevier
ISBN 13 : 0443218560
Total Pages : 410 pages
Book Rating : 4.4/5 (432 download)

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Book Synopsis Synthetic Data and Generative AI by : Vincent Granville

Download or read book Synthetic Data and Generative AI written by Vincent Granville and published by Elsevier. This book was released on 2024-01-25 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synthetic Data and Generative AI covers the foundations of machine learning, with modern approaches to solving complex problems and the systematic generation and use of synthetic data. Emphasis is on scalability, automation, testing, optimizing, and interpretability (explainable AI). For instance, regression techniques – including logistic and Lasso – are presented as a single method, without using advanced linear algebra. Confidence regions and prediction intervals are built using parametric bootstrap, without statistical models or probability distributions. Models (including generative models and mixtures) are mostly used to create rich synthetic data to test and benchmark various methods. Emphasizes numerical stability and performance of algorithms (computational complexity) Focuses on explainable AI/interpretable machine learning, with heavy use of synthetic data and generative models, a new trend in the field Includes new, easier construction of confidence regions, without statistics, a simple alternative to the powerful, well-known XGBoost technique Covers automation of data cleaning, favoring easier solutions when possible Includes chapters dedicated fully to synthetic data applications: fractal-like terrain generation with the diamond-square algorithm, and synthetic star clusters evolving over time and bound by gravity

Stochastic Geometry

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Publisher : Springer
ISBN 13 : 3030135470
Total Pages : 232 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Stochastic Geometry by : David Coupier

Download or read book Stochastic Geometry written by David Coupier and published by Springer. This book was released on 2019-04-09 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a unique and accessible overview of the most active fields in Stochastic Geometry, up to the frontiers of recent research. Since 2014, the yearly meeting of the French research structure GDR GeoSto has been preceded by two introductory courses. This book contains five of these introductory lectures. The first chapter is a historically motivated introduction to Stochastic Geometry which relates four classical problems (the Buffon needle problem, the Bertrand paradox, the Sylvester four-point problem and the bicycle wheel problem) to current topics. The remaining chapters give an application motivated introduction to contemporary Stochastic Geometry, each one devoted to a particular branch of the subject: understanding spatial point patterns through intensity and conditional intensities; stochastic methods for image analysis; random fields and scale invariance; and the theory of Gibbs point processes. Exposing readers to a rich theory, this book will encourage further exploration of the subject and its wide applications.

Statistical Analysis and Modelling of Spatial Point Patterns

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Publisher : John Wiley & Sons
ISBN 13 : 9780470725153
Total Pages : 560 pages
Book Rating : 4.7/5 (251 download)

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Book Synopsis Statistical Analysis and Modelling of Spatial Point Patterns by : Dr. Janine Illian

Download or read book Statistical Analysis and Modelling of Spatial Point Patterns written by Dr. Janine Illian and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial point processes are mathematical models used to describe and analyse the geometrical structure of patterns formed by objects that are irregularly or randomly distributed in one-, two- or three-dimensional space. Examples include locations of trees in a forest, blood particles on a glass plate, galaxies in the universe, and particle centres in samples of material. Numerous aspects of the nature of a specific spatial point pattern may be described using the appropriate statistical methods. Statistical Analysis and Modelling of Spatial Point Patterns provides a practical guide to the use of these specialised methods. The application-oriented approach helps demonstrate the benefits of this increasingly popular branch of statistics to a broad audience. The book: Provides an introduction to spatial point patterns for researchers across numerous areas of application Adopts an extremely accessible style, allowing the non-statistician complete understanding Describes the process of extracting knowledge from the data, emphasising the marked point process Demonstrates the analysis of complex datasets, using applied examples from areas including biology, forestry, and materials science Features a supplementary website containing example datasets. Statistical Analysis and Modelling of Spatial Point Patterns is ideally suited for researchers in the many areas of application, including environmental statistics, ecology, physics, materials science, geostatistics, and biology. It is also suitable for students of statistics, mathematics, computer science, biology and geoinformatics.

Analytic Combinatorics for Multiple Object Tracking

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Publisher : Springer Nature
ISBN 13 : 3030611914
Total Pages : 221 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Analytic Combinatorics for Multiple Object Tracking by : Roy Streit

Download or read book Analytic Combinatorics for Multiple Object Tracking written by Roy Streit and published by Springer Nature. This book was released on 2020-11-26 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​The book shows that the analytic combinatorics (AC) method encodes the combinatorial problems of multiple object tracking—without information loss—into the derivatives of a generating function (GF). The book lays out an easy-to-follow path from theory to practice and includes salient AC application examples. Since GFs are not widely utilized amongst the tracking community, the book takes the reader from the basics of the subject to applications of theory starting from the simplest problem of single object tracking, and advancing chapter by chapter to more challenging multi-object tracking problems. Many established tracking filters (e.g., Bayes-Markov, PDA, JPDA, IPDA, JIPDA, CPHD, PHD, multi-Bernoulli, MBM, LMBM, and MHT) are derived in this manner with simplicity, economy, and considerable clarity. The AC method gives significant and fresh insights into the modeling assumptions of these filters and, thereby, also shows the potential utility of various approximation methods that are well established techniques in applied mathematics and physics, but are new to tracking. These unexplored possibilities are reviewed in the final chapter of the book.