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:

Download or read book Estimating the Intensity Function of the Nonstationary Poisson Process written by David Wilson Flynn and published by . This book was released on 1976 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Introduction to the Statistics of Poisson Processes and Applications written by Yury A. Kutoyants and published by Springer Nature. This book was released on 2023-09-04 with total page 683 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.

Download or read book Estimating the Intensity Function of the Nonstationary Poisson Process written by David Wilson Flynn and published by c1976.. This book was released on 1976 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

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:

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.

Download or read book Estimating the Intensity Function of a Nonhomogeneous Poisson Process and a Simulation Study written by Iva Lattinger and published by . This book was released on 1999 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Estimating the Intensity Function of a Spatial Inhomogeneous Poisson Process written by Roelof Helmers and published by . This book was released on 1995 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

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.

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:

Download or read book Nonparametric Estimation of the Generating Function of the Intensity Function Process of a Doubly Stochastic Poisson Process written by Kuang-Hua Daphne Chou and published by . This book was released on 2002 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Estimating the Intensity of a Poisson Process written by G. S. Watson and published by . This book was released on 1977 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: A linear estimator minimizing the expected average mean square error is derived. This is generalized by adding to the criterion a multiple of the expected average squared pth difference. This leads to splines. (Author).

Download or read book Estimating the Intensity of a Cyclic Poisson Process written by Wayan Mangku (I) and published by . This book was released on 2001 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Estimation of the Mean Value Function from a Sample of Nonhomogeneous Poisson Processes written by Carlos Ramon Vallarino and published by . This book was released on 1987 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.