On the law of the iterated logarithm for inter-record times

Author:

Strawderman William E.,Holmes Paul T.

Abstract

Let X 1, X2, X 3 , ··· be independent, identically distributed random variables on a probability space (Ω, F, P); and with a continuous distribution function. Let the sequence of indices {Vr } be defined as Also define The following theorem is due to Renyi [5].

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On a joint strong approximation theorem for record and inter-record times;Probability Theory and Related Fields;1987-06

2. The limiting behaviour of the maximal spacing generated by an i.i.d. sequence of Gaussian random variables;Journal of Applied Probability;1985-12

3. Imperfect repair;Journal of Applied Probability;1983-12

4. Extremal processes and record value times;Journal of Applied Probability;1973-12

5. Record values and inter-record times;Journal of Applied Probability;1973-09

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