Bayesian Inference for the Two-Parameter Exponential Models : Type-II Censored Case

  • Sohn, Joong-Kweon (Department of Statistics, Kyungpook National University, Taegu 702-701) ;
  • Kim, Heon-Joo (Department of Statistics, Kyungpook National University, Taegu 702-701)
  • Published : 1995.12.01

Abstract

Suppose that we have $k(k \geq 2)$ populations (or systems), say $\pi_1, \cdots, \pi_k$, to be tested. Under the type-II censored testing without replacement we consider the problem of estimating the unknown parameters of interests and the reliability for a given time t for each population. Also we compare the perfomances of the proposed Bayes estimators with another estiamtors under the Jeffrey-type noninformative prior distribution.

Keywords

References

  1. Mathematical Theory of Reliability Barlow,R.E.;Proschan,F.
  2. Statistical Decision Theory and Bayesian Analysis(2nd) Berger,J.O.
  3. Communications in Statistics - Simulation and Computation v.B7 Maximum Likelihood Estimators of the Location and Scale Parameters of the Exponential Distribution from a Censored Sample Kambo,N.S.
  4. Communications in Statistics - Simulation and Computation v.B16 no.3 Reliability Estimation for the Exponential Distribution Kurkjian,B.M.;Karson,M.J.;George,Q.S.
  5. Communications in Statistics - Theory and Methods v.A16 no.7 Estimation of Parameters of k Exponential Distributions in Doubly Censored Samples Shetty,B.N.;Joshi,P.C.
  6. Applied Statistics A Remark on Algorithm AS 183 : An Efficient and Portable Pseudo-random Number Generator Mcleod,A.L.
  7. Communications in Statistics - Theory and Methods v.A5 Bayesian Inference about Reliability Function for the Exponential Distributions Sinha,S.K.;Guttman,I.