Empirical bayes detection of a change in distribution

Rohana J. Karunamuni, Shunpu Zhang

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

The problem of detection of a change in distribution is considered. Shiryayev (1963, Theory Probab. Appl., 8, pp. 22-46, 247-264 and 402-413; 1978, Optimal Stopping Rules, Springer, New York) solved the problem in a Bayesian framework assuming that the prior on the change point is Geometric (p). Shiryayev showed that the Bayes solution prescribes stopping as soon as the posterior probability of the change having occurred exceeds a fixed level. In this paper, a myopic policy is studied. An empirical Bayes stopping time is investigated for detecting a change in distribution when the prior is not completely known.

Original languageEnglish (US)
Pages (from-to)229-246
Number of pages18
JournalAnnals of the Institute of Statistical Mathematics
Volume48
Issue number2
DOIs
Publication statusPublished - Jan 1 1996

    Fingerprint

Keywords

  • Bayes sequential rules
  • Change points
  • Empirical Bayes
  • Statistical process control
  • Stopping times

ASJC Scopus subject areas

  • Statistics and Probability

Cite this

Empirical bayes detection of a change in distribution. / Karunamuni, Rohana J.; Zhang, Shunpu.

In: Annals of the Institute of Statistical Mathematics, Vol. 48, No. 2, 01.01.1996, p. 229-246.

Research output: Contribution to journalArticle