On Fitting of Generalized Pareto Distribution

1
Dr. T .A. Raja
Dr. T .A. Raja
2
A.H. Mir
A.H. Mir

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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.

11 Cites in Articles

References

  1. A Abdel-Ghaly,A Attia,H Aly (1998). Estimation of The Parameters of Pareto Distribution and The Reliability Function Using Accelerated Life Testing with Censoring.
  2. A Abd Elfattah,E Elsherpieny,E Hussein (2007). A new generalized Pareto distribution.
  3. B Arnald,S (1983). On a general system of distribution: I its curved-shape characteristics, II. The sample median.
  4. V Choulakian,M Stephens (2001). Goodness-of-Fit Tests for the Generalized Pareto Distribution.
  5. A Davison,R Smith (1990). Models for Exceedances Over High Thresholds.
  6. J Hosking,Walls (1987). Parameter and quantile estimation for the generalized Pareto distribution.
  7. J Picklands (1975). Statistical inference using extreme under statistics.
  8. A Samia,M Mohamed (1993). Modified moment estimators for the three parameters Pareto distribution.
  9. Richard Smith (1989). Threshold Methods for Sample Extremes.
  10. Richard Smith (1990). Extreme Value Analysis of Environmental Time Series: An Application to Trend Detection in Ground-Level Ozone.
  11. D Wingo (1983). Maximum Likelihood Methods for Fitting the Burr Type XII Distribution to Life Test Data.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Dr. T .A. Raja. 2013. \u201cOn Fitting of Generalized Pareto Distribution\u201d. Global Journal of Human-Social Science - E: Economics GJHSS-E Volume 13 (GJHSS Volume 13 Issue E2): .

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Crossref Journal DOI 10.17406/GJHSS

Print ISSN 0975-587X

e-ISSN 2249-460X

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April 22, 2013

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English

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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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On Fitting of Generalized Pareto Distribution

Dr. T .A. Raja
Dr. T .A. Raja
A.H. Mir
A.H. Mir

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