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Weak convergence of the average of flag processes

Published online by Cambridge University Press:  14 July 2016

Donald L. Iglehart  and
Douglas P. Kennedy
Donald L. Iglehart
Affiliation:
Stanford University
Douglas P. Kennedy
Affiliation:
Stanford University
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Extract

Let be a sequence of non-negative random variables and the associated point process defined by

Type
Short Communications
Information
Journal of Applied Probability , Volume 7 , Issue 3 , December 1970 , pp. 747 - 753
Copyright
Copyright © Applied Probability Trust 1970 

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References

[1] Billingsley, P. (1968) Convergence of Probability Measures. John Wiley and Sons, New York.Google Scholar
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[3] Iglehart, D. and Whitt, W. (1969) The equivalence of functional central limit theorems for counting processes and associated partial sums. Technical Report No. 6, Department of Operations Research, Stanford University.Google Scholar
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