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On weak convergence of empirical processes for random number of independent stochastic vectors†

Published online by Cambridge University Press:  24 October 2008

Pranab Kumar Sen
Pranab Kumar Sen
Affiliation:
University of North Carolina, Chapel Hill
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Abstract

By the use of a semi-martingale property of the Kolmogorov supremum, the results of Pyke (6) on the weak convergence of the empirical process with random sample size are simplified and extended to the case of p(≥1)-dimensional stochastic vectors.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 73 , Issue 1 , January 1973 , pp. 139 - 144
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

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