Asymptotic Distributions of the Generalized Range, Midrange, Extremal Quotient, and Extremal Product, with a Comparison Study

H. M. Barakat, E. M. Nigm and A. Elsawah ()

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 5, 900-913

Abstract: Necessary and sufficient conditions for the weak convergence of the generalized range, midrange, extremal quotient, and extremal product are obtained. The classes of possible non degenerate limit distribution functions of these simple statistics are characterized. Comparison study between these statistics with some examples for the most important distribution functions are given.

Date: 2015
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DOI: 10.1080/03610926.2012.750356

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