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On record values and record times

1972/06/01 by R. W. Shorrock · 1 citation
Economics, Econometrics and Finance · Social Sciences · Business, Management and Accounting · #Stochastic processes and financial applications #Insurance, Mortality, Demography, Risk Management #Advanced Queuing Theory Analysis

paper · doi:10.2307/3212801

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 k th record value and the k th record time is also derived.

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