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Tests for the Validity of the Assumption that the Underlying Distribution of Life is Pareto

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  • Zeinab H. Amin

Abstract

This article considers the problem of testing the validity of the assumption that the underlying distribution of life is Pareto. For complete and censored samples, the relationship between the Pareto and the exponential distributions could be of vital importance to test for the validity of this assumption. For grouped uncensored data the classical Pearson χ2 test based on the multinomial model can be used. Attention is confined in this article to handle grouped data with withdrawals within intervals. Graphical as well as analytical procedures will be presented. Maximum likelihood estimators for the parameters of the Pareto distribution based on grouped data will be derived.

Suggested Citation

  • Zeinab H. Amin, 2007. "Tests for the Validity of the Assumption that the Underlying Distribution of Life is Pareto," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(2), pages 195-201.
    • Handle: RePEc:taf:japsta:v:34:y:2007:i:2:p:195-201
    DOI: 10.1080/02664760600995098
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    References listed on IDEAS

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    1. Geisser, Seymour, 1985. "Interval prediction for Pareto and exponential observables," Journal of Econometrics, Elsevier, vol. 29(1-2), pages 173-185.
    2. Arnold, Barry C. & Press, S. James, 1983. "Bayesian inference for pareto populations," Journal of Econometrics, Elsevier, vol. 21(3), pages 287-306, April.
    3. Ibrahim A. Ahmad & Ibrahim A. Alwasel, 1999. "A Goodness‐of‐fit Test for Exponentiality Based on the Memoryless Property," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(3), pages 681-689.
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    Cited by:

    1. Conghua Cheng & Jinyuan Chen & Jianming Bai, 2013. "Exact inferences of the two-parameter exponential distribution and Pareto distribution with censored data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(7), pages 1464-1479, July.
    2. Saldaña-Zepeda, Dayna P. & Vaquera-Huerta, Humberto & Arnold, Barry C., 2010. "A goodness of fit test for the Pareto distribution in the presence of Type II censoring, based on the cumulative hazard function," Computational Statistics & Data Analysis, Elsevier, vol. 54(4), pages 833-842, April.

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