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	Volume 1, Issue 3 Pg 119 - 308 (December 2001)
	Volume 1, Issue 2 Pg 133 - 220 (August 2001)
	Volume 1, Issue 1 Pg 1 - 118 (April 2001)

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Advances and Applications in Statistics

and

be two k-dimensional statistics based on independent samples of sizes m and n, respectively, from two populations, and let

be a vector valued function defined on the 2k-th Euclidean space. This paper deals with the limiting distribution function of

suitably normalized, as m and n tend to infinity separately. Applications to estimation and hypothesis testing problems are given. The connection between these results and those previously obtained in the literature is discussed.

Advances and Applications in Statistics
Volume 1, Issue 1, Pages 27 - 48 (April 2001)

LIMITING DISTRIBUTIONS FOR STATISTICS BASED ON DIFFERENT SAMPLES
Shaul K. Bar-Lev (Israel), Naftali A. Langberg (Israel) and Benjamin Reiser (Israel)

Abstract:
Let

and

be two k-dimensional statistics based on independent samples of sizes m and n, respectively, from two populations, and let

be a vector valued function defined on the 2k-th Euclidean space. This paper deals with the limiting distribution function of

suitably normalized, as m and n tend to infinity separately. Applications to estimation and hypothesis testing problems are given. The connection between these results and those previously obtained in the literature is discussed.

Keywords and phrases: asymptotic normality, convergence in distribution, delta method, Mann-Whitney statistic

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