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Weak convergence of probability measures and random functions in the function space D[0,∞)

Published online by Cambridge University Press:  14 July 2016

Torgny Lindvall
Torgny Lindvall*
Affiliation:
University of Göteborg
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Abstract

This paper extends the theory of weak convergence of probability measures and random functions in the function space D[0,1] to the case D [0,∞), elaborating ideas of C. Stone and W. Whitt. 7)[0,∞) is a suitable space for the analysis of many processes appearing in applied probability.

Keywords

WEAK CONVERGENCERANDOM FUNCTIONS AND PROBABILITY MEASURESEXTENSION OF SKOROHOD'S TOPOLOGY TO THE SEMI-INFINITE INTERVAL CASECOMPLETE SEPARABLE METRIC SPACE
Type
Research Papers
Information
Journal of Applied Probability , Volume 10 , Issue 1 , March 1973 , pp. 109 - 121
Copyright
Copyright © Applied Probability Trust 1973 

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References

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