Journal of applied mathematics & informatics

  • 제5권1호
  • /
  • Pages.213-222
  • /
  • 1998
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  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

DISTRIBUTIONS AND MOMENTS FOR ESTIMATORS OF GINI INDEX IN AN EXPONENTIAL DISTRIBUTION

  • 발행 : 1998.03.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we propose several estimators of Gini index of the two-parameter exponential distribution and obtain dis-tributions and moments of the proposed estimators. The proposed estimators are shown to cosistency and will be compares in terms of the proposed estimators. The proposed estimators are shown to cosistency and will be compared in terms of the mean squared error (MSE) through Monte Carlo method.

키워드

참고문헌

  1. Annals of Mathematical Statistics v.25 Some theorems relevant to life testing from an exponential distribution B.Epstein;M.Sobel
  2. The Korean Communications in Statistics v.3 no.3 Estimation of Gini index of the exponential distribution by bootstrap method S.B.Kang;Y.S.Cho
  3. Annals of Institute of Statistical Mathematics v.37 Distribution of maximum likelihood estimators of Lorenz curve and Gini index of expomential distribution T.S.K.Moothathu
  4. Sankhya, Series B v.47 Sampling distribution of Lorenz curve and Gini index of the Pareto distribution T.S.K.Moothathu
  5. Sankhya, Series B v.52 The best estimator of Lorenz curve, Gini index and Theil Entropy index of Pareto distribution T.S.K.Moothathu
  6. Annals of Mathematical Statistics v.25 Estimation of the mean and standard deviation by order statistics E.Sarhan
  7. Communications in Statistics-Theory and Methods v.22 Estimation of parameters of an expontial distribution when the parameter space is restricted with an application to two-sample problem H.N.Singh;R.D.Gupta;N.Misra