Characterization of asymptotic distribution functions of ratio block sequences

In this paper we give necessary and sufficient conditions for the block sequence of the set X = { x 1 < x 2 < … < x n < …} ⊂ ℕ to have an asymptotic distribution function in the form x λ .

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Bibliographic Details
Published inPeriodica mathematica Hungarica Vol. 60; no. 2; pp. 115 - 126
Main Authors Filip, Ferdinánd, Tóth, János T.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2010
Subjects
Mathematics
Mathematics and Statistics
asymptotic distribution function
block sequence
uniform distribution
11B05
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Summary:In this paper we give necessary and sufficient conditions for the block sequence of the set X = { x 1 < x 2 < … < x n < …} ⊂ ℕ to have an asymptotic distribution function in the form x λ .
ISSN:0031-5303
1588-2829
DOI:10.1007/s10998-010-2115-2