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  A Characterization Of The Pareto Distribution
 
 
Title: A Characterization Of The Pareto Distribution
Author: Ahsanullah, M.
Kabir, A.B.M. Lutful
Appeared in: Communications in statistics
Paging: Volume 3 (1974) nr. 10 pages 953-957
Year: 1974
Contents: Suppose that in a random sample of size n from a population with probability density function (p.d.f.) f(x), the order statistics are X(1) ≤ X(2) < … < X(n). It is proved that a necessary and sufficient condition for f(x) to be the p.d.f. of the Pareto distribution is that the statistics x(r1) and x(r3)/x(r2)(1 ≤ r1 < r2 < r3 ≤ n) are independent.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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