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Bayes Estimation of P(Y

  • Kim Chansoo (Department of Applied Mathematics, Kongju National University) ;
  • Han Keunhee (Department of Applied Mathematics, Kongju National University)
  • Published : 2005.04.01

Abstract

The present paper obtains Bayes estimators for the probability p(Y

Keywords

References

  1. Ahmad, K. E., Fakhry, M. E. and Jaheen, Z. F.(1997). Empirical Bayes estimate P(Y < X) and characterizations of Burr-type X model, Journal of Statistical Planning and Inference, 64, 297-308 https://doi.org/10.1016/S0378-3758(97)00038-4
  2. Burr IW.(1942) Cumulative frequency functions, Annals of Mathematical Statistics, 13, 215-222 https://doi.org/10.1214/aoms/1177731607
  3. Chaturvedi A. Bhatti M.I. and Kumar K.(2000) Bayesian analysis of disturbances variance in the linear regression model under asymmetric loss functions, Applied Mathematics and Computation, 149-153
  4. Kim C. and Chung Y.(2005) Bayesian estimation of p(Y < X) from Burr-type X model containing spurious observations, Statistical Papers
  5. Jaheen, Z. E.(1995) Bayesian approach to prediction with outliers from the Burr type X model, Microelectronics on Reliability, 35, 45-47 https://doi.org/10.1016/0026-2714(94)00056-T
  6. Jaheen, Z. E.(1997) Empirical Bayes estimation of the reliability and failure rate functions of the Burr type X failure model, Journal of Applied Statistical Science, 3, 281-288
  7. Lindely D.V.(1980) Approximate Bayesian methods, Trabajos de Stadistca, 21, 223-237
  8. Thompson R.D. and Basu A.P.(1996) Asymmetric loss function for estimating system reliability, in: Berry D.A., Chaloner K.M., Geweke J.K.(Eds.), Bayesian Analysis in Statistics and Econometrics, Wiley series in probability and statistics, New York
  9. Tierney L. and Kadane J.B.(1986) Accurate approximations for posterior moments and marginal densities, Journal of the American Statistical Association, 81, 82-86 https://doi.org/10.2307/2287970
  10. Varian H.(1975) A Bayesian approach to real estate assessment, in: Fienberg S.E., Zellner A. (Eds.), Studies in Bayesian Econometrics and Statistics in honour of Leonard J. Savage, North-Holland, Amsterdam, 195-208
  11. Zellner A.(1986) Bayesian estimation and prediction using asymmetric loss function, Journal of the American Statistical Association, 81, 446-451 https://doi.org/10.2307/2289234