Journal of the Korean Statistical Society

  • 제11권1호
  • /
  • Pages.25-35
  • /
  • 1982
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

A Bayes Sequential Selection of the Least Probale Event

  • Hwang, Hyung-Tae (Department of Computer Science and Statistics, Seoul National University) ;
  • Kim, Woo-Chul (Department of Computer Science and Statistics, Seoul National University)
  • 발행 : 1982.06.01
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초록

A problem of selecting the least probable cell in a multinomial distribution is studied in a Bayesian framework. We consider two loss components the cost of sampling and the difference in cell probabilities between the selected and the least probable cells. A Bayes sequential selection rule is derived with respect to a Dirichlet prior, and it is compared with the best fixed sample size selection rule. The continuation sets with respect to the vague prior are tabulated for certain cases.

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참고문헌

  1. Annals Mathematical Statistics v.43 On selecting the least probable multinomial event Alam,K.;Thompson,J.R.
  2. Annals Mathematical Statistics v.30 A single sample multiple-decision procedure for selectiong the multinomial event which has the largest probability Bechhofer,R.E.;Elmaghraby,S.A.;Morse,N.
  3. Multivariate analysis : Proceddings of an International Symposium(P.R.Krishnauah) An inverse sampling procedure for selecting the probable event in a multinomial distribution Cacoulos,T.;Sobel,M.
  4. Mathematical Statistics - A decision theoretic approach Ferguson,T.S.
  5. Technometrics v.2 Order Statistics from the Gamma Distribution Gupta,S.S.
  6. annals Mathematical Statistics v.30 A proterty of multinomial distribution Kesten,H.;Morse,N.
  7. Biometrika v.66 A sequential procedure for selecting the most probable multinomial event Ramey,Jr.,J.T.;Alam,K.
  8. Communications in statistics v.A9 no.3 A Bayes sequetial proceure for selecting the most probable multinomial event Ramey,Jr.,J.T.;Alam.K.