Goodness-of-Fit Test for the Pareto Distribution Based on the Transformed Sample Lorenz curve

  • Published : 2002.04.30

Abstract

A powerful and easily computed goodness-of-fit test for Pareto distribution which does not depend on the unknown location and scale parameters is proposed based on the transformed sample Lorenz curve. We compare the power of the proposed test statistic with the other goodness-of-fit tests for Pareto distribution against various alternatives through Monte Carlo methods.

Keywords

References

  1. IBM J. Research & Development v.7 A new model for error clustering in telephone circuits Berger, J. M.;Mandelbrot, B.
  2. The Korean Journal of Applied Statistics v.12 no.1 A study on distribution based on the Transformed Lorez Curve Cho, Y. S.;Lee, J. Y.;Kang, S. B.
  3. Biometrika v.66 The generalized Pareto law as a model for progressively censored survival data Davis, H. T.;Feldstein, M. L.
  4. Econometrica v.29 The graduation of income distributions Fisk, P. R.
  5. Journal of American Statistical Association v.73 A Scale-Free Goodness-of-Fit test for the exponential distribution based on Lorenz curve Gail. M. H.;Gastwirth, J. L.
  6. Journal of American Statistical Association v.71 Powerful modified EDF goodness-of-fit tests Green, J.;Hegazy
  7. Operations Research v.16 The Pareto distribution as a queue service discipline Harris, C. M.
  8. Journal of American Statistical Association v.70 Best liner unbiased prediction of order statistics in location and scale families Kaminsky, K. S.;Nelson, P. I.
  9. 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.
  10. The Korean Communications in Statistics v.8 no.1 A study on Distribution Based on the Normalized Sample Lorenz Curve Kang, S. B.;Cho, Y, S.
  11. 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.
  12. Metrika v.16 Estimation of the Parameters of the Pareto Distribution Malik, H. J.
  13. Sankhya v.47 no.B Sampling Distribution of Lorenz Curve and Gini Index of the Pareto Distribution Moothathu, T. S. K .
  14. Sankhya v.52 no.B The Best Estimator of Lonrez Curve, Gini Index and Theil Entropy Index of Pareto Distribution Moothathu, T. S. K.
  15. Statistical Model for Life Data Lawless, J. F.
  16. Statistische Hefte v.10 Minimum Variance Unbiased Estimation of the Parameters of power-function and Pareto's Distribution Likes, J.
  17. Journal of American Statistical Association v.62 On the Kolmogorov-Smirnov test for normality with mean and variance unknown Lilliefors, H.
  18. Journal of American Statistical Association v.64 On the Kolmogorov-Smirnov test for the exponential distribution with mean unknown Lilliefors, H.
  19. IEEE Transactions on Reliability v.41 no.1 Modified KS, AD, C-vM tests for the Pareto distribution with unknown location & scale parameters Porter III, J. E.;Coleman, J. W.;Moore, A. H.
  20. Youngnam Statistical Letters v.1 Estimation for Functions of Two Parameters in the Pareto Distribution Woo, J.;Kang, S. B.