Convergence of random extremal quotient and product

Faculty	Not Specified	Year:	1999
Type of Publication:	Article	Pages:	209-221
Authors:	BARAKAT, HM, NIGM, EM	DOI:	10.1016/S0378-3758(99)00012-9
Journal:	JOURNAL OF STATISTICAL PLANNING AND INFERENCE ELSEVIER SCIENCE BV	Volume:	81
Research Area:	Mathematics	ISSN	ISI:000083024300002
Keywords :	weak convergence, random indices, random extremal quotient, random extremal product
Abstract:	The limit distribution functions are obtained for the extremal quotient, extremal product and the geometric range with random indices under nonrandom centering and normalization. Moreover, this paper considers the conditions under which the cases of random and nonrandom indices give the same asymptotic results. Some illustrative examples are given. (C) 1999 Elsevier Science B.V. All rights reserved.
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