On record values and record times

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1972 English Publisher:Cambridge University Press (CUP)Journal:Journal of Applied Probability, volume 9, pages 316-326 (issn: 0021-9002, eissn: 1475-6072,

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Authors: Shorrock, R. W.;

doi: 10.2307/3212801 , 10.1017/s0021900200095000

On record values and record times

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Abstract

A correspondence between record values and independent increment point processes is established. The asymptotic behaviour of record value sequences is studied, and results on the asymptotic behaviour of record times (for continuous F) are obtained as special cases. The joint law of the kth record value and the kth record time is also derived.

Related Organizations

University of British Columbia
Canada

Keywords

Stochastic processes

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