Statistical Inference For Spatial Poisson Processes

Author : B. D. Ripley
Publisher : Cambridge University Press
ISBN 13 : 9780521424202
Total Pages : 162 pages
Book Rating : 4.08/5 ( download)

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Download or read book Statistical Inference for Spatial Processes written by B. D. Ripley and published by Cambridge University Press. This book was released on 1988 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of spatial processes and their applications is an important topic in statistics and finds wide application particularly in computer vision and image processing. This book is devoted to statistical inference in spatial statistics and is intended for specialists needing an introduction to the subject and to its applications. One of the themes of the book is the demonstration of how these techniques give new insights into classical procedures (including new examples in likelihood theory) and newer statistical paradigms such as Monte-Carlo inference and pseudo-likelihood. Professor Ripley also stresses the importance of edge effects and of lack of a unique asymptotic setting in spatial problems. Throughout, the author discusses the foundational issues posed and the difficulties, both computational and philosophical, which arise. The final chapters consider image restoration and segmentation methods and the averaging and summarising of images. Thus, the book will find wide appeal to researchers in computer vision, image processing, and those applying microscopy in biology, geology and materials science, as well as to statisticians interested in the foundations of their discipline.

Author : Yu A. Kutoyants
Publisher : Springer Science & Business Media
ISBN 13 : 1461217067
Total Pages : 282 pages
Book Rating : 4.60/5 ( download)

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Download or read book Statistical Inference for Spatial Poisson Processes written by Yu A. Kutoyants and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is devoted to several problems of parametric (mainly) and nonparametric estimation through the observation of Poisson processes defined on general spaces. Poisson processes are quite popular in applied research and therefore they attract the attention of many statisticians. There are a lot of good books on point processes and many of them contain chapters devoted to statistical inference for general and partic ular models of processes. There are even chapters on statistical estimation problems for inhomogeneous Poisson processes in asymptotic statements. Nevertheless it seems that the asymptotic theory of estimation for nonlinear models of Poisson processes needs some development. Here nonlinear means the models of inhomogeneous Pois son processes with intensity function nonlinearly depending on unknown parameters. In such situations the estimators usually cannot be written in exact form and are given as solutions of some equations. However the models can be quite fruitful in en gineering problems and the existing computing algorithms are sufficiently powerful to calculate these estimators. Therefore the properties of estimators can be interesting too.

Author : Jesper Moller
Publisher : CRC Press
ISBN 13 : 9780203496930
Total Pages : 320 pages
Book Rating : 4.30/5 ( download)

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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.

Author : Alan Karr
Publisher : Routledge
ISBN 13 : 1351423835
Total Pages : 509 pages
Book Rating : 4.30/5 ( download)

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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.

Author : Peter Diggle
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.9D/5 ( download)

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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.

Author : N.U. Prabhu
Publisher : CRC Press
ISBN 13 : 1000104532
Total Pages : 289 pages
Book Rating : 4.30/5 ( download)

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Download or read book Statistical Inference in Stochastic Processes written by N.U. Prabhu and published by CRC Press. This book was released on 2020-08-13 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both theory and applications, this collection of eleven contributed papers surveys the role of probabilistic models and statistical techniques in image analysis and processing, develops likelihood methods for inference about parameters that determine the drift and the jump mechanism of a di

Author : Alan F. Karr
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.26/5 ( download)

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Download or read book Point Processes and Their Statistical Inference written by Alan F. Karr and published by . This book was released on 1986 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Adrian Baddeley
Publisher : CRC Press
ISBN 13 : 1482210215
Total Pages : 830 pages
Book Rating : 4.17/5 ( download)

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Download or read book Spatial Point Patterns written by Adrian Baddeley and published by CRC Press. This book was released on 2015-11-11 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Statistical Methodology and Software for Analyzing Spatial Point PatternsSpatial Point Patterns: Methodology and Applications with R shows scientific researchers and applied statisticians from a wide range of fields how to analyze their spatial point pattern data. Making the techniques accessible to non-mathematicians, the authors draw on th

Author : M.N.M. van Lieshout
Publisher : CRC Press
ISBN 13 : 0429627033
Total Pages : 162 pages
Book Rating : 4.33/5 ( download)

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Download or read book Theory of Spatial Statistics written by M.N.M. van Lieshout and published by CRC Press. This book was released on 2019-03-19 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Spatial Statistics: A Concise Introduction presents the most important models used in spatial statistics, including random fields and point processes, from a rigorous mathematical point of view and shows how to carry out statistical inference. It contains full proofs, real-life examples and theoretical exercises. Solutions to the latter are available in an appendix. Assuming maturity in probability and statistics, these concise lecture notes are self-contained and cover enough material for a semester course. They may also serve as a reference book for researchers. Features * Presents the mathematical foundations of spatial statistics. * Contains worked examples from mining, disease mapping, forestry, soil and environmental science, and criminology. * Gives pointers to the literature to facilitate further study. * Provides example code in R to encourage the student to experiment. * Offers exercises and their solutions to test and deepen understanding. The book is suitable for postgraduate and advanced undergraduate students in mathematics and statistics.

Author : Peter J. Diggle
Publisher : CRC Press
ISBN 13 : 1466560231
Total Pages : 302 pages
Book Rating : 4.39/5 ( download)

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Download or read book Statistical Analysis of Spatial and Spatio-Temporal Point Patterns, Third Edition written by Peter J. Diggle and published by CRC Press. This book was released on 2013-07-23 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a prominent statistician and author, the first edition of this bestseller broke new ground in the then emerging subject of spatial statistics with its coverage of spatial point patterns. Retaining all the material from the second edition and adding substantial new material, Statistical Analysis of Spatial and Spatio-Temporal Point Patterns, Third Edition presents models and statistical methods for analyzing spatially referenced point process data. Reflected in the title, this third edition now covers spatio-temporal point patterns. It explores the methodological developments from the last decade along with diverse applications that use spatio-temporally indexed data. Practical examples illustrate how the methods are applied to analyze spatial data in the life sciences. This edition also incorporates the use of R through several packages dedicated to the analysis of spatial point process data. Sample R code and data sets are available on the author’s website.