【作者(必填)】Yu A. Kutoyants

【文题(必填)】Statistical Inference for Spatial Poisson Processes (Lecture Notes in Statistics)

【年份(必填)】1998

【全文链接或数据库名称(选填)】http://www.amazon.com/Statistical-Inference-Spatial-Processes-Statistics/dp/038798562X/ref=sr_1_10?s=books&ie=UTF8&qid=1338696506&sr=1-10

Book DescriptionPublication Date: September 11, 1998 | ISBN-10: 038798562X | ISBN-13: 978-0387985626 | Edition: 1
The book discusses the estimation theory for the wide class of inhomogeneous Poisson processes. The consistency, limit distributions and the convergence of moments of parameter estimators are established in regular and non-regular (change-point type) problems. The maximum likelihood, Bayesian, and the minimum distance estimators are investigated in parametric problems and the empiric intensity measure and the kernel-type estimators are studied in nonparametric estimation problems. The properties of the estimators are also described in the situations when the observed Poisson process does not belong to the parametric family (no true model), when there are many true models (nonidentifiable family), when the observation window can be chosen by an optimal way, and others. The question of asymptotic efficiency of estimators is discussed in all of these problems. The book will be useful for those who use models of Poisson processes in their research. The large number of examples of inhomogeneous Poisson processes discussed in the book are taken from the fields of optical communications, reliability, image processing, and nuclear medicine. The material is suitable for graduate courses on stochastic processes. The book assumes familiarity with probability theory and mathematical statistics. Yury A. Kutoyants, Professor of Mathematics at the University of Main, Le Mans, France, is a member of the Bernoulli Society, the Mathematical Society of France, and the Institute of Mathematical Statistics. He is associate editor of "Finance and Stochastics" and "Statistical Inference for Stochastic Processes." He is author of "Parameter Estimation for Stochastic Processes" (Heldermann Verlag, Berlin, 1984) and "Identification of Dynamical Systems with Small Noise" (Kluwer, Dordrecht, 1994), and the of about 70 articles on the

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Editorial ReviewsAbout the AuthorYury A. Kutoyants, Professor of Mathematics at the University of Main, Le Mans, France, is a member of the Bernoulli Society, the Mathematical Society of France, and the Institute of Mathematical Statistics. He is associate editor of "Finance and Stochastics" and "Statistical Inference for Stochastic Processes."

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Product Details Paperback: 283 pages Publisher: Springer; 1 edition (September 11, 1998) Language: English ISBN-10: 038798562X ISBN-13: 978-0387985626