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On the approach to the limit of successive maxima of partial sums

Published online by Cambridge University Press:  01 July 2016

J. L. Teugels
Affiliation:
Catholic University of Louvain
N. Veraverbeke
Affiliation:
Catholic University of Louvain

Abstract

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Type
II Contributed Papers
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] Cheong, C. K. and Heathcote, C. R. (1965) On the rate of convergence of waiting times. J. Austral. Math. Soc. 5, 365373.Google Scholar
[2] Craven, B. D. and Shanbhag, D. N. (1973) The number of customers in a busy period. The Manchester-Sheffield Sheffield School of Probability and Statistics. Research Report 140/BDC & DNS 1.Google Scholar
[3] Heathcote, C. R. (1967) Complete exponential convergence and some related topics. J. Appl. Prob. 4, 217256.Google Scholar
[4] Kingman, J. F. C. (1962) Some inequalities for the queue G/G/1. Biometrika 49, 315324.Google Scholar
[5] Veraverbeke, N. and Teugels, J. L. (1975) Regular speed of convergence for the maximum of a random walk. Procedings of the Colloquium of the Bolyai János Mathematical Society, Hungary.Google Scholar