Communications for Statistical Applications and Methods

  • 제6권1호
  • /
  • Pages.285-292
  • /
  • 1999
  • /
  • 2287-7843(pISSN)
  • /
  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Estimation of the Lorenz Curve of the Pareto Distribution

  • Kang, Suk-Bok (Department of Statistics and Institute of Natural Sciences, Yeungnam University) ;
  • Cho, Young-Suk (Department of Statistis Yeungnam University)
  • 발행 : 1999.04.01
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초록

In this paper we propose the several estimators of the Lorenz curve in the Pareto distribution and obtain the bias and the mean squared error for each estimator. We compare the proposed estimators with the uniformly minimum variance unbiased estimator (UMVUE) and the maximum likelihood estimator (MLE) in terms of the mean squared error (MSE) through Monte Carlo methods and discuss the results.

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참고문헌

  1. Communications in Statistics - Theory and Methods v.27 no.8 A Method for Estimating Lorenz Curves Castillo, E.;Handi, A.S.;Sarabia, J.M.
  2. Journal of American Statistical Association v.68 Estimation of the Location and Scale Parameters of a Pareto Distribution by Linear Functions of Order Statistics Kulldorff, G.;Vannman, K.
  3. Statistische Hefte v.10 Minimum Variance Unbiased Estimation of the Parameters of power-function and Pareto's Distribution Likes, J.
  4. Metrika v.16 Estimation of the Parameters of the Pareto Distribution Malik, H.J.
  5. Sankhya v.47 no.B Sampling Distribution of Lorenz Curve and Gini Index of the Pareto Distribution Moothathu, T.S.K.
  6. Sankhya v.52 no.B The Best Estimator of Lorenz Curve, Gini Index and Theil Entropy Index of Pareto Distribution Moothathu, T.S.K.
  7. Journal of Information & Optimization Sciences v.18 no.2 Estimation of the Parameters in a Pareto Distribution by Jackknife and Bootstrap Method Kang, S.B.;Cho, Y.S.
  8. Youngnam Statistical Letters v.1 Estimation for Functions of Two Parameters in the Pareto Distribution Woo, J.;Kang, S.B.