Asymptotic Operating Characteristics of an Optimal Change Point Detection in Hidden Markov Models

Let ξ0,ξ1,...,ξω-1be observations from the hidden Markov model with probability distribution Pθ0 , and let ξω, ξω + 1,... be observations from the hidden Markov model with probability distribution Pθ1 . The parameters θ0and θ1are given, while the change point ω is unknown...

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Bibliographische Detailangaben
Veröffentlicht in:The Annals of Statistics. - Institute of Mathematical Statistics. - 32(2004), 5, Seite 2305-2339
1. Verfasser: Fuh, Cheng-Der (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2004
Zugriff auf das übergeordnete Werk:The Annals of Statistics
Schlagworte:Asymptotic Optimality Change Point Detection First Passage Time Limit of Bayes Rules Products of Random Matrices Nonlinear Markov Renewal Theory Shiryayev-Roberts-Pollak Procedure Mathematics Applied sciences Behavioral sciences