BAYESIAN POISSON RATE ESTIMATION USING PARAMETER MAPS

Citation
Jr. Buck et al., BAYESIAN POISSON RATE ESTIMATION USING PARAMETER MAPS, IIE transactions, 27(3), 1995, pp. 405-412
Citations number
10
Categorie Soggetti
Operatione Research & Management Science","Engineering, Industrial
Journal title
ISSN journal
0740817X
Volume
27
Issue
3
Year of publication
1995
Pages
405 - 412
Database
ISI
SICI code
0740-817X(1995)27:3<405:BPREUP>2.0.ZU;2-V
Abstract
This paper presents a procedure for the sequential estimation of the r ate parameter for a Poisson process. The procedure is based on Bayes' rule for combining new sample data with a prior estimate to obtain a p osterior estimate. The procedure is facilitated by the use of a parame ter map for monitoring the sequence of estimates and by a stationarity test for verifying the appropriateness of some of the assumptions.