01054nam--2200325---450-99000341815020331620100625101038.0000341815USA01000341815(ALEPH)000341815USA0100034181520100625d2000----km-y0itay50------baitaIT||||||||001yySanta Maria delle Grazie in Vallo della Lucaniastoria e pietà popolareLuigi RossiAcciaroliEdizioni del Centro di promozione culturale per il Cilento2000145 p.ill.24 cmVallo della LucaniaSanta Maria delle GrazieStoria945.74ROSSI,Luigi74421ITsalbcISBD990003418150203316XV.1.A. 1366208090 LMXV.1.A.00258358BKUMASENATORE9020100625USA011008SENATORE9020100625USA011010Santa Maria delle Grazie in Vallo della Lucania1125434UNISA03907nam 22005775 450 991074368410332120240710090603.03-031-37054-610.1007/978-3-031-37054-0(MiAaPQ)EBC30728641(Au-PeEL)EBL30728641(DE-He213)978-3-031-37054-0(PPN)272737321(CKB)28152184000041(EXLCZ)992815218400004120230904d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierIntroduction to the Statistics of Poisson Processes and Applications /by Yury A. Kutoyants1st ed. 2023.Cham :Springer International Publishing :Imprint: Springer,2023.1 online resource (683 pages)Frontiers in Probability and the Statistical Sciences,2624-9995Print version: Kutoyants, Yury A. Introduction to the Statistics of Poisson Processes and Applications Cham : Springer International Publishing AG,c2023 9783031370533 Poisson Processes -- Parameter Estimation -- Non-parametric Estimation -- Hypothesis Testing -- Applications -- Likelihood ratio and properties of MLE and BE.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.Frontiers in Probability and the Statistical Sciences,2624-9995StatisticsNonparametric statisticsStatistical Theory and MethodsNon-parametric InferenceProcessos de PoissonthubLlibres electrònicsthubStatistics.Nonparametric statistics.Statistical Theory and Methods.Non-parametric Inference.Processos de Poisson519.23519.23Kutoyants Yury A442032MiAaPQMiAaPQMiAaPQBOOK9910743684103321Introduction to the Statistics of Poisson Processes and Applications3560138UNINA