Notes on Parametric Estimations in a Power Function Distribution

  • Woo, Jungsoo (Professor, Department of Statistics, Yeungnam University) ;
  • Yoon, Gi-Ern (Instructor, Department of Statistics, Yeungnam University)
  • Published : 1999.12.01

Abstract

We shall propose the MME MLE and UMVUE for the mean parameter and the right-tail probability in a power function distribution and obtain the mean squared errors for the proposed estimators. And we shall compare numerically efficiencies of the MME MLE and UMVUE of the mean parameter and the right-tail probability in a power function distribution.

Keywords

References

  1. Journal of Econometrics v.21 Bayesian Inference for Pareto Population Arnold, B.C.;Press, S.J.
  2. Table of Integrals, Series, and Products Gradshteyn, I.S.;Ryzhik, I.M.
  3. Continuous Univariate Distributions-2 Johnson, N.L.;Kotz, S.;Balakrishnan, N.
  4. Skandinavisk Aktuarietidskrift v.55 Estimation of the Tail of Paretian Law Lwin, T.
  5. Skandinavidk Aktuarietidskrift v.50 Exact Moments of Order Statistics for a Power Function Population Malik, H.J.
  6. Research Review v.3 Characterizations of Power Function and Pareto Distribution in Terms of their Lorenz Curves Moothathu, T.S.K.
  7. Tables of Mellin Transforms Oberhettinger, F.
  8. Tables of Laplace Transforms Oberhettinger, F.;Badii, L
  9. Journal of the American Statistical Association v.59 Distribution of Product and Quotient of Maximum Values in Samples form a Power Function Population Rider, P.R.
  10. An Introduction to Probability Theory and Mathematical Statististics Rohatgi, V.K.