Communications for Statistical Applications and Methods

  • 제4권1호
  • /
  • Pages.185-191
  • /
  • 1997
  • /
  • 2287-7843(pISSN)
  • /
  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Bayesian Estimation of Multinomial and Poisson Parameters Under Starshaped Restriction

  • Oh, Myong-Sik (Department of Statistics, Pusan University of Foreign Studies)
  • 발행 : 1997.04.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Bayesian estimation of multinomial and Poisson parameters under starshped restriction is considered. Most Bayesian estimations in order restricted statistical inference require the high-dimensional integration which is very difficult to evaluate. Monte Carlo integration and Gibbs sampling are among alternative methods. The Bayesian estimation considered in this paper requires only evaluation of incomplete beta functions which are extensively tabulated.

키워드

참고문헌

  1. Statistical Inference under Order Restrictions Barlow, R.E.;D.J. Bartholomew;J.M. Bremner;H.D. Brunk
  2. Scandinavian Acuarial Journal A Bayes estimator for ordered parameters and isotonic Bayesian graduation Broffit, J.D.
  3. The Annals of Statistics v.10 Order restricted statistical tests on multinomial and Poisson parameters: The starshaped restriction Dykstra, R.L.;T. Robertson
  4. Journal of the American Statistical Association v.87 Bayesian analysis of constrained parameter and truncated data problems using Gibbs sampling Gelfand, A.E.;A.F.M. Smith;T.-M. Lee
  5. Annals of Mathematical Statistics v.35 Bayesian bioassay Kraft, C.H.;C. van Eeden
  6. Journal of the Royal Statistical Society(Series B) v.47 Bayesian estimation of finite population parameters in categorical data models incoporating order restrictions Sedransk, J.;J. Monahan;H.Y. Chiu
  7. The Annals of Statistics v.7 Estimation of star-shaped sequences of Poisson and normal means Shaked, M.