A Bayesian Approach to Finite Population Sampling Using the Concept of Pivotal Quantity

Hwang, Hyungtae

  • Published : 2003.12.01


Bayesian probability models for finite populations are considered assuming so-called the super-population. We find the posterior distribution of population mean by a new approach, using the concept of pivotal quantity for the small sample case. A large sample theory is also treated throught the concept of asymptotically pivotal quantity.


finite population;pivotal quantity;asymptotically pivotal quantity;limiting posterior distribution


  1. On limiting posterior distributions Hwang,H.T.;So,B.S.;Kim,Y.D.
  2. Journal of the Royal Statistical Society B v.31 Subjective Bayesian models in sampling finite population(with discussion) Ericson,W.
  3. Journal of the American Statistical Association v.81 Empirical Bayes estimation in finite population sampling Ghosh,M.;Meeden,G.
  4. The Korean Journal of Applied Statistics v.5 no.1 Bayesian ratio estimation in finite population Lee,S.H.;Park,N.H.;Choi,J.S.
  5. Journal of Theoretical Probability v.2 On conditional weak convergence Sweeting,T.J.
  6. Journal of the Korean Statistical Society v.27 no.3 Robust Bayes and empirical Bayes analysis in finite population sampling with auxiliary information Kim,D.H.
  7. The Korean Communications in Statistics v.9 no.1 A study on the role of pivots in Bayesian Statistics Hwang,H.T.