Record times

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Cumulative record times in a Poisson process

We obtain a strong law of large numbers and a functional central limit theorem, as t → ∞, for the number of records up to time t and the Lebesgue measure (length) of the subset of the time interval [0, t] during which the Poisson process is in a record lifetime. strong law of large numbers.

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Elderly's Leisure Times

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1975

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1975-0368111-2