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Uniform ε-independence and the convergence in distribution of randomly indexed sequences

Published online by Cambridge University Press:  24 October 2008

C. C. Y. dorea ,
H. T. david  and
N. M. werner
C. C. Y. dorea
Affiliation:
Iowa State University and Universidade de Brasilia
H. T. david
Affiliation:
Iowa State University
N. M. werner
Affiliation:
Iowa State University and Corning Glass Company
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Extract

A notion of ‘uniform ε-independence’ (u.ε.i.) is proposed for a sequence {Xn} successively indexed by random indices {τk}. The u.∊.i. property yields results other than those in the previous random indexing literature. Complementing the u.∊.i. property by suitable ‘approximation’ one recovers these previous results.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 3 , November 1984 , pp. 533 - 542
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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