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On the distribution of the inter-record times in an increasing population

Published online by Cambridge University Press:  14 July 2016

Mark C. K. Yang*
Affiliation:
University of Florida

Abstract

It is shown in this note that if the population increases geometrically, then the asymptotic distribution for the inter-record times is also geometric. The records in Olympic games are used as an example. Also, it is noted that the rapid breaking of Olympic records is not due mainly to the increase in population.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] Chandler, K. N. (1952) The distribution and frequency of record values. J. R. Statist. Soc. B 14, 220228.Google Scholar
[2] Holmes, P. T. and Strawderman, W. (1969) A note on the waiting times between record observations. J. Appl. Prob. 6, 711714.CrossRefGoogle Scholar
[3] Neuts, M. F. (1967) Waiting times between record observations. J. Appl. Prob. 4, 206208.CrossRefGoogle Scholar
[4] Strawderman, W. and Holmes, P. T. (1970) On the law of iterated logarithm for inter-record times. J. Appl. Prob. 7, 432439.CrossRefGoogle Scholar
[5] Shorrock, R. W. (1972) A limit theorem for inter-record times. J. Appl. Prob. 9, 219223.CrossRefGoogle Scholar
[6] The World Almanac. 1972 Edition. Newspaper Enterprise Association, New York.Google Scholar