Asymptotic expansions forL- andR-statistics under alternatives View Full Text


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Article Info

DATE

1995-08

AUTHORS

V. E. Bening

ABSTRACT

In this paper we establish asymptotic expansions (a.e.) under alternatives for the distribution functions of sums of independent identically distributed random variables (i.i.d.r.v.'s.), linear combinations of order statistics, and one-sample rank statistics (L- and R-statistics). The general Lemma from [V. E. Bening,Bull. Moscow State Univ., Ser. 15, 2 36–44 (1994)] is applied to these statistics. Section 1 contains the statement of the theorem, in Sec. 2 the theorems is proved; its proof involves four auxiliary lemmas, also contained in Sec. 2. Finally Sec. 3 contains the proofs of these lemmas. More... »

PAGES

2094-2109

Journal

TITLE

Journal of Mathematical Sciences

ISSUE

1

VOLUME

76

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02363223

DOI

http://dx.doi.org/10.1007/bf02363223

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1053439012


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