A product Pareto distribution |
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Authors: | Saralees Nadarajah Arjun K. Gupta |
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Affiliation: | (1) School of Mathematics, University of Manchester, Manchester, M60 1QD, UK;(2) Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA |
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Abstract: | The Pareto distributions are becoming increasing prominent in several applied areas. In this note, a new Pareto distribution is introduced. It takes the form of the product of two Pareto probability density functions. Various structural properties of this distribution are derived, including its cumulative distribution function, moments, mean deviation about the mean, mean deviation about the median, entropy, asymptotic distribution of the extreme order statistics, method of moments estimates, maximum likelihood estimates and the Fisher information matrix. The calculations involve the use of several special functions. |
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Keywords: | Bayesian statistics Compounding Pareto distribution Product Pareto distribution Quantum physics |
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