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Book Estimating the Intensity Function of the Nonstationary Poisson Process

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:

Book Estimation of the Mean Value Function from a Sample of Nonhomogeneous Poisson Processes

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:

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 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 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.

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 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 Nonparametric Estimation of the Generating Function of the Intensity Function Process of a Doubly Stochastic Poisson Process

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:

Book Bayes Linear Estimators of the Intensity Function of the Nonstationary Poisson Process

Download or read book Bayes Linear Estimators of the Intensity Function of the Nonstationary Poisson Process written by STANFORD UNIV CALIF DEPT OF STATISTICS. and published by . This book was released on 1975 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper gives and compares in a numerical example several estimators of the intensity function of a nonstationary Poisson process.

Book An Estimation Problem with Poisson Processes

Download or read book An Estimation Problem with Poisson Processes written by STANFORD UNIV CA DEPT OF STATISTICS. and published by . This book was released on 1982 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper considers an estimation problem involving n independent Poisson processes such that the i-th process has intensity function lambda (intensity)(t) = delta (intensity) p(t; alpha). It is of interest to estimate p(t; alpha). Two estimation procedures are developed, one using the exact arrival times of observations, the second using categorical arrival times of observations. Two specific instances of p(t), an exponential and a bilinear form are investigated further. An example applying the methodology to the active life of a judicial opinion is described. (Author).