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Book A Method to Estimate the Center Intensity of an Inhomogeneous Poisson Cluster Process

Download or read book A Method to Estimate the Center Intensity of an Inhomogeneous Poisson Cluster Process written by Ann Marie Kalinowski and published by . This book was released on 1995 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Poisson Point Processes

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.

Book Lectures on the Poisson Process

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.

Book Estimation of Selected Parameters in Non Homogeneous Poisson Processes

Download or read book Estimation of Selected Parameters in Non Homogeneous Poisson Processes written by Douglas E. Huffman and published by . This book was released on 1975 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Estimates are found for the intensity function and other related parameters in a non-homogeneous Poisson process. Asymptotic results are also obtained.

Book Statistical Analysis and Modelling of Spatial Point Patterns

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.

Book Detection of Bumps on the Intensity Function of an Inhomogeneous Poisson Process

Download or read book Detection of Bumps on the Intensity Function of an Inhomogeneous Poisson Process written by Camilo Andres Rivera Guerrero and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Scanning Statistics methodology has been applied to problems arising in many disciplines including epidemiology and genomics. In this thesis we propose a modification of the Scan Statistic for the Poisson model and we compare it with other tests based on this methodology. Poisson Processes have been widely used in credit risk to build models of credit defaults across time. Despite this, few papers are focused on building tools to test these models. In this thesis we use Scanning Statistics to test a particular family of credit risk models. We haven't seen an application of Scanning Statistics to credit risk. We consider the inhomogeneous Poisson Process with intensity p[mu](t) on an interval I and q[mu](t) on [0,1]\I. Suppose that the intensity [mu](t) is known while p, q and I are un- known. This problem can be transformed into detecting clusters on a sample of iid uniform random variables. We use scanning statistics to approach these problems and propose a scale penalty for the Scan (Maximum Likelihood Ratio Test). We establish detection conditions for this penalized test and also study the power of the Average Maximum Likelihood Ratio Test.

Book Estimation of the Intensity of the Non homogeneous Poisson Process

Download or read book Estimation of the Intensity of the Non homogeneous Poisson Process written by Lakshmi Nilakantan and published by . This book was released on 1988 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Method for Estimating Intensity of a Poisson Process

Download or read book A Method for Estimating Intensity of a Poisson Process written by Sandhya Gunti and published by . This book was released on 2007 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Dissertation Abstracts International

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2008 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Handbook of Spatial Point Pattern Analysis in Ecology

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 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand How to Analyze and Interpret Information in Ecological Point PatternsAlthough 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 t

Book Markov Point Processes And Their Applications

Download or read book Markov Point Processes And Their Applications written by Marie-colette Van Lieshout and published by World Scientific. This book was released on 2000-07-12 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: These days, an increasing amount of information can be obtained in graphical forms, such as weather maps, soil samples, locations of nests in a breeding colony, microscopical slices, satellite images, radar or medical scans and X-ray techniques. “High level” image analysis is concerned with the global interpretation of images, attempting to reduce it to a compact description of the salient features of the scene.This book takes a stochastic approach. It studies Markov object processes, showing that they form a flexible class of models for a range of problems involving the interpretation of spatial data. Applications can be found in statistical physics (under the name of “Gibbs processes”), environmental mapping of diseases, forestry, identification of ore structure in materials science, signal analysis, object recognition, robot vision, and interpretation of images from medical scans or confocal microscopy.

Book Determining high risk zones by using spatial point process methodology

Download or read book Determining high risk zones by using spatial point process methodology written by Monia Mahling and published by Cuvillier Verlag. This book was released on 2013-07-15 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methoden zur Konstruktion von Risikozonen, die verwendet werden können, wenn ein räumliches Punktmuster unvollständig beobachtet wurde, werden am Beispiel von Blindgängern auf Bundesliegenschaften in Deutschland eingeführt und evaluiert. Blindgänger aus dem Zweiten Weltkrieg stellen in Deutschland ein schwerwiegendes Problem dar. Es ist daher wünschenswert, Risikozonen nach Blindgängern abzusuchen. Da dies jedoch hohe Kosten verursacht, beschränkt sich die Suche normalerweise auf sorgfältig ausgewählte Gebiete. Falls für das fragliche Gebiet geeignete Luftbilder existieren, können zur Bestimmung solcher Zonen statistische Methoden angewandt werden, indem das Muster der detonierten Bomben als Realisation eines räumlichen Punktprozesses betrachtet wird. Die in dieser Arbeit analysierten Muster wurden von der Oberfinanzdirektion Niedersachsen zur Verfügung gestellt, die die Kampfmittelräumung auf deutschen Bundesliegenschaften unterstützt. Sie wurden aus Luftbildern gewonnen, die die Alliierten während und nach dem Zweiten Weltkrieg aufgenommen haben. Das primäre Ziel besteht darin, möglichst kleine Regionen zu finden, die möglichst viele Blindgänger enthalten. Methods for constructing high-risk zones, which can be used in situations where a spatial point pattern has been observed incompletely, are introduced and evaluated with regard to unexploded bombs in federal properties in Germany. Unexploded bombs from the Second World War represent a serious problem in Germany. It is desirable to search high-risk zones for unexploded bombs, but this causes high costs, so the search is usually restricted to carefully selected areas. If suitable aerial pictures of the area in question exist, statistical methods can be used to determine such zones by considering patterns of exploded bombs as realisations of spatial point processes. The patterns analysed in this thesis were provided by Oberfinanzdirektion Niedersachsen, which supports the removal of unexploded ordnance in federal properties in Germany. They were derived from aerial pictures taken by the Allies during and after World War II. The main task consists of finding as small regions as possible containing as many unexploded bombs as possible.

Book Geostatistics Wollongong 96 1 1997

Download or read book Geostatistics Wollongong 96 1 1997 written by Ernest Y. Baafi and published by Springer Science & Business Media. This book was released on 1997 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume provide a comprehensive account of the current methods and work in geostatistics, including recent theoretical developments and applications. Topics featured include: stochastic simulations, space-time modelling, and Bayesian framework.