On Fitting of Generalized Pareto Distribution
Keywords:
pareto distribution, picklands (1975) generalized pareto distribution, a new generalized Pareto distribution, Income data set, Goodness of fit
Abstract
The Pareto distribution is to model the income data set of a society. The distribution is appropriate to the situations in which an equilibrium exists in distribution of small to large. There exists many generalization approaches to the distribution. In this paper an effort has been made to compare the applicability of generalized Pareto distribution with Picklands (1975) by using a real life income data set. The model has provided considerable a good fit to the data set. Some well known distributions has been derived as a special case of this model for suitable choice of parameters.
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References
A. Abdel-Ghaly, A. Attia, H. Aly (1998) Estimation of the parameters of pareto distribution and the reliability function usin accelerated life testing with censoring. 27(2), 469-484. https://doi.org/10.1080/03610919808813490
A. Abd Elfattah, E. Elsherpieny, E. Hussein (2007) A new generalized Pareto distribution.
B. Arnald, S. (1983) On a general system of distribution: I its curved-shape characteristics, II. The sample median. 63, 627-635.
V. Chaoulakian, M. Stephens (2001) Goodness-of-Fit Tests for the Generalized Pareto Distribution. 43(4), 478-484. https://doi.org/10.1198/00401700152672573
A. Davison, R. Smith (1990) Models for Exceedances Over High Thresholds. 52(3), 393-425. https://doi.org/10.1111/j.2517-6161.1990.tb01796.x
J. Hosking, walls (1987) Parameter and quantile estimation for the generalized Pareto distribution Technometrics. 29(3), 339-349. https://doi.org/10.1080/00401706.1987.10488243
J. Picklands (1975) Statistical inference using extreme under statistics. 3, 119-131.
A. Samia, M. Mohamed (1993) Modified moment estimators for the three parameters Pareto distribution.
Smith R.L (1989) Threshold Methods for Sample Extremes. 6211-6638.
Richard Smith (1990) Extreme Value Analysis of Environmental Time Series: An Application to Trend Detection in Ground-Level Ozone. 4(4), 367-393. https://doi.org/10.1214/ss/1177012400
D. Wingo (1983) Maximum Likelihood Methods for Fitting the Burr Type XII Distribution to Life Test Data. 25(1), 77-84. https://doi.org/10.1002/bimj.19830250109
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2013-02-14
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