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

Zeinab H. Amin

Journal of Applied Statistics, 2007, vol. 34, issue 2, 195-201

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.

Keywords: Goodness of fit tests; Pareto distribution; grouped data; Types I and II censoring; hazard rate; maximum likelihood estimator; likelihood ratio statistic (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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DOI: 10.1080/02664760600995098

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