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Book Characteristics of Poisson Cylinder Processes and Their Estimation

Download or read book Characteristics of Poisson Cylinder Processes and Their Estimation written by Malte Spiess and published by . This book was released on 2012 with total page 115 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 Estimation in Poisson Processes

Download or read book Estimation in Poisson Processes written by Pratap Narain Misra and published by . This book was released on 1973 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Poisson Processes

    Book Details:
  • Author : J. F. C. Kingman
  • Publisher : Clarendon Press
  • Release : 1992-12-17
  • ISBN : 0191591246
  • Pages : 118 pages

Download or read book Poisson Processes written by J. F. C. Kingman and published by Clarendon Press. This book was released on 1992-12-17 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the theory of random processes there are two that are fundamental, and occur over and over again, often in surprising ways. There is a real sense in which the deepest results are concerned with their interplay. One, the Bachelier Wiener model of Brownian motion, has been the subject of many books. The other, the Poisson process, seems at first sight humbler and less worthy of study in its own right. Nearly every book mentions it, but most hurry past to more general point processes or Markov chains. This comparative neglect is ill judged, and stems from a lack of perception of the real importance of the Poisson process. This distortion partly comes about from a restriction to one dimension, while the theory becomes more natural in more general context. This book attempts to redress the balance. It records Kingman's fascination with the beauty and wide applicability of Poisson processes in one or more dimensions. The mathematical theory is powerful, and a few key results often produce surprising consequences.

Book Estimation of the Intensity of a Filtered Poisson Process and Its Application to Acoustic Assessment of Marine Organisms

Download or read book Estimation of the Intensity of a Filtered Poisson Process and Its Application to Acoustic Assessment of Marine Organisms written by John E. Ehrenberg and published by . This book was released on 1973 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book 3D Images of Materials Structures

Download or read book 3D Images of Materials Structures written by Joachim Ohser and published by John Wiley & Sons. This book was released on 2009-09-03 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking and analyzing images of materials' microstructures is essential for quality control, choice and design of all kind of products. Today, the standard method still is to analyze 2D microscopy images. But, insight into the 3D geometry of the microstructure of materials and measuring its characteristics become more and more prerequisites in order to choose and design advanced materials according to desired product properties. This first book on processing and analysis of 3D images of materials structures describes how to develop and apply efficient and versatile tools for geometric analysis and contains a detailed description of the basics of 3d image analysis.

Book Introduction to the Statistics of Poisson Processes and Applications

Download or read book Introduction to the Statistics of Poisson Processes and Applications written by Yury A. Kutoyants and published by Springer. This book was released on 2023-12-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Random Cover Times Using the Poisson Cylinder Process

Download or read book Random Cover Times Using the Poisson Cylinder Process written by Filipe Mussini and published by . This book was released on 2017 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Detection and Estimation of Trends in Two Dimensional Poisson Processes

Download or read book The Detection and Estimation of Trends in Two Dimensional Poisson Processes written by Robert Dale Rantschler and published by . This book was released on 1973 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The occurrence of independent events at random in the plane, i.e. the formation of a planar point process, is discussed. Both homogeneous and nonhomogeneous processes are considered. A specific functional form for the parameter in a nonhomogeneous planar Poisson process is used to illustrate the development of test and parameter estimation techniques. The problem finds application in the description of biological phenomena as well as in search and detection problems. (Author).

Book Theory and Statistical Applications of Stochastic Processes

Download or read book Theory and Statistical Applications of Stochastic Processes written by Yuliya Mishura and published by John Wiley & Sons. This book was released on 2018-01-04 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the theory of stochastic processes and the theoretical aspects of statistics for stochastic processes. It combines classic topics such as construction of stochastic processes, associated filtrations, processes with independent increments, Gaussian processes, martingales, Markov properties, continuity and related properties of trajectories with contemporary subjects: integration with respect to Gaussian processes, Itȏ integration, stochastic analysis, stochastic differential equations, fractional Brownian motion and parameter estimation in diffusion models.

Book Scientific and Technical Aerospace Reports

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Estimation for Poisson Processes with Applications in Optical Communication

Download or read book Estimation for Poisson Processes with Applications in Optical Communication written by John Robert Clark and published by . This book was released on 1971 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Estimation for Homogeneous Poisson Processes

Download or read book Estimation for Homogeneous Poisson Processes written by Johanne Thiffault and published by . This book was released on 1985 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.