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A Pareto model for classical systems
Author(s) -
Nadarajah Saralees
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.895
Subject(s) - mathematics , fisher information , pareto principle , pareto interpolation , lomax distribution , pareto distribution , generalized pareto distribution , probability density function , principle of maximum entropy , large deviations theory , statistics , extreme value theory
A new Pareto distribution is introduced for pooling knowledge about classical systems. It takes the form of the product of two Pareto probability density functions (pdfs). Various structural properties of this distribution are derived, including its cumulative distribution function (cdf), moments, mean deviation about the mean, mean deviation about the median, entropy, asymptotic distribution of the extreme order statistics, maximum likelihood estimates and the Fisher information matrix. Copyright © 2007 John Wiley & Sons, Ltd.