Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-28T18:37:28.098Z Has data issue: false hasContentIssue false

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

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
II Contributed Papers
Copyright
Copyright © Applied Probability Trust 1975 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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