Asymptotic Distributions of the Generalized and the Dual Generalized Extremal Quotient

Faculty Science Year: 2013
Type of Publication: Article Pages: 657-670
Authors:
Barakat, H. M, Nigm, E. M, Elsawah, A. M
Journal: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY MALAYSIAN MATHEMATICAL SCIENCES SOC Volume: 36
Research Area: Mathematics ISSN ISI:000321990400009
Keywords : Weak convergence, generalized order statistics, dual generalized order statistics, extremal quotient    
Abstract:
Necessary and sufficient conditions for the weak convergence of the generalized and the dual generalized extremal quotient are obtained. The class of possible non-degenerate limit distribution functions of quotient of generalized and its dual extreme order statistics is characterized. Some illustrative examples are obtained.
    
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