Bayesian Estimations of the Smaller and Larger for Two Pareto Scale Parameters

  • Woo, Jungsoo (Department of Mathematics & Statistics, Yeungnam University) ;
  • Lee, Changsoo (School of Multimedia, Visual Arts, and Software Engineering, Kyungwoon University)
  • Published : 2000.12.01

Abstract

We shall derive Bayes estimators for he smaller and larger of two Pareto scale parameters with a common known shape parameter when the order of the scales is unknown and sample sizes are equal under squared error loss function. Also, we shall obtain biases and man squared errors for proposed Bayes estimators, and compare numerically performances for the proposed Bayes estimators.

References

  1. IEEE of Transactions on Reliability v.R-18 Prior Knowledge, Engineers Versus Statsticians Evans, R.A.
  2. Journal of Mathematical Society v.32 no.4 Estimation of the Smaller and Larger of Two Pareto Scale Parameters Woo, J.S.;Lee, C.S.
  3. Communication in Statistics, Theory and Methods v.21 Estimation of the Smaller and Larger of Two Exponential Location Prameters Carpenter, M.;Pal, N.;Kushary, D.
  4. Communication in Statistics, Theory and Methods v.24 Estimating the Minimum and Maximum Location Parameters for Two IG-Exponential Scale Mixtures Capenter, M.;Hebert, J.L.
  5. Statistics & Dicisions v.3 Estimation of the Smaller and Larger Scale Parameters of Two Uniform Distributions Misra, N.;Anand, R.;Singh, H.
  6. Communication in Statistics, Theory and Methods v.24 Some Inadmissibility Results for Estimating Ordered Uniform Scale Parameters Misra, N.;Dhariyal, I.D.
  7. Communication in Statistics, Theory and Methods v.21 Estmation of the Smaller and Larger of Two Uniform Scale Parameters Elfessi, A.;Pal, N.
  8. Calcutta Statistical Association Bulletin v.45 Estimation of the Smaller and Larger of Two Exponential Location Parameters with a Common Unknown Scale Parameter Carpenter, M.;Pal, N.