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Weak Limit of the Sample Extremal Quotient

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Necessary and sufficient conditions are obtained for the weak convergence (W→) of the sample extremal quotient of independent and identically distributed random variables as the number of observations tends to infinity. The paper fully characterizes the class of possible non-degenerate limit distribution functions of the extremal quotient, under general conditions.
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Keywords: Sample extremal quotient; order statistics; weak convergence

Document Type: Research Article

Affiliations: Zagazig University

Publication date: March 1, 1998

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