Random Point Processes In Time And Space

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Random Point Processes In Time And Space
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Author : Donald L. Snyder
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Random Point Processes In Time And Space written by Donald L. Snyder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
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.
An Introduction To The Theory Of Point Processes
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Author : D.J. Daley
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-12
An Introduction To The Theory Of Point Processes written by D.J. Daley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-12 with Mathematics categories.
This is the second volume of the reworked second edition of a key work on Point Process Theory. Fully revised and updated by the authors who have reworked their 1988 first edition, it brings together the basic theory of random measures and point processes in a unified setting and continues with the more theoretical topics of the first edition: limit theorems, ergodic theory, Palm theory, and evolutionary behaviour via martingales and conditional intensity. The very substantial new material in this second volume includes expanded discussions of marked point processes, convergence to equilibrium, and the structure of spatial point processes.
Random Point Processes In Time And Space
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Author : Donald Lee Snyder
language : en
Publisher:
Release Date : 1991-01
Random Point Processes In Time And Space written by Donald Lee Snyder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01 with Point processes categories.
Point Process Calculus In Time And Space
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Author : Pierre Brémaud
language : en
Publisher: Springer Nature
Release Date : 2020-12-05
Point Process Calculus In Time And Space written by Pierre Brémaud and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-05 with Mathematics categories.
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.
Random Point Processes
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Author : Donald Lee Snyder
language : en
Publisher: Wiley-Interscience
Release Date : 1975
Random Point Processes written by Donald Lee Snyder and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
Stochastic Processes For Spatial Econometrics
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Author : Jorge Mateu Mahiques
language : en
Publisher: Netbiblo
Release Date : 2010
Stochastic Processes For Spatial Econometrics written by Jorge Mateu Mahiques and has been published by Netbiblo this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Social Science categories.
This monograph presents a general methodology which is shown to be valid in the analysis of spatial point structures and that is certainly easier to use by non-expert researchers coming from other applied sciences than other much modern techniques. We suggest that the local conditioning approach has the advantage that it is statistically efficient, easy to correct for edge-effects and provides similar results than other (more complicated) likelihood-based methods. We show a mathematical justification to prove that any purely inhibitory pairwise interaction point process (pipp) can be obtained as the limit of a sequence of auto-Poisson lattice schemes and within this context we develop the pseudolikelihood estimating equations. We particularly focus on developing a Monte Carlo simulation study to analyze the behaviour of the parameter s of a particular pipp model derived using this technique. We also stress that this methodology has a wide range of applications in many fields, particularly in economy and demography.
Point Process Theory And Applications
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Author : Martin Jacobsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-27
Point Process Theory And Applications written by Martin Jacobsen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-27 with Mathematics categories.
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
Introduction To The Statistics Of Poisson Processes And Applications
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Author : Yury A. Kutoyants
language : en
Publisher: Springer Nature
Release Date : 2023-09-04
Introduction To The Statistics Of Poisson Processes And Applications written by Yury A. Kutoyants and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-04 with Mathematics categories.
This book covers an extensive class of models involving inhomogeneous Poisson processes and deals with their identification, i.e. the solution of certain estimation or hypothesis testing problems based on the given dataset. These processes are mathematically easy-to-handle and appear in numerous disciplines, including astronomy, biology, ecology, geology, seismology, medicine, physics, statistical mechanics, economics, image processing, forestry, telecommunications, insurance and finance, reliability, queuing theory, wireless networks, and localisation of sources. Beginning with the definitions and properties of some fundamental notions (stochastic integral, likelihood ratio, limit theorems, etc.), the book goes on to analyse a wide class of estimators for regular and singular statistical models. Special attention is paid to problems of change-point type, and in particular cusp-type change-point models, then the focus turns to the asymptotically efficient nonparametric estimation of the mean function, the intensity function, and of some functionals. Traditional hypothesis testing, including some goodness-of-fit tests, is also discussed. The theory is then applied to three classes of problems: misspecification in regularity (MiR),corresponding to situations where the chosen change-point model and that of the real data have different regularity; optical communication with phase and frequency modulation of periodic intensity functions; and localization of a radioactive (Poisson) source on the plane using K detectors. Each chapter concludes with a series of problems, and state-of-the-art references are provided, making the book invaluable to researchers and students working in areas which actively use inhomogeneous Poisson processes.
Markov Processes For Stochastic Modeling
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Author : Oliver Ibe
language : en
Publisher: Newnes
Release Date : 2013-05-22
Markov Processes For Stochastic Modeling written by Oliver Ibe and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-22 with Mathematics categories.
Markov processes are processes that have limited memory. In particular, their dependence on the past is only through the previous state. They are used to model the behavior of many systems including communications systems, transportation networks, image segmentation and analysis, biological systems and DNA sequence analysis, random atomic motion and diffusion in physics, social mobility, population studies, epidemiology, animal and insect migration, queueing systems, resource management, dams, financial engineering, actuarial science, and decision systems. Covering a wide range of areas of application of Markov processes, this second edition is revised to highlight the most important aspects as well as the most recent trends and applications of Markov processes. The author spent over 16 years in the industry before returning to academia, and he has applied many of the principles covered in this book in multiple research projects. Therefore, this is an applications-oriented book that also includes enough theory to provide a solid ground in the subject for the reader. - Presents both the theory and applications of the different aspects of Markov processes - Includes numerous solved examples as well as detailed diagrams that make it easier to understand the principle being presented - Discusses different applications of hidden Markov models, such as DNA sequence analysis and speech analysis.
Lectures On The Poisson Process
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Author : Günter Last
language : en
Publisher: Cambridge University Press
Release Date : 2017-10-26
Lectures On The Poisson Process written by Günter Last and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-26 with Mathematics categories.
A modern introduction to the Poisson process, with general point processes and random measures, and applications to stochastic geometry.