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BIBTEX RIS

A characterization of the Poisson process using forward recurrence times

1975; Cambridge University Press; Volume: 78; Issue: 3 Linguagem: Inglês

10.1017/s0305004100051999

ISSN

1469-8064

Autores

Valerie Isham, D. N. Shanbhag, Mark Westcott,

Tópico(s)

Mathematical Approximation and Integration

Resumo

Consider a renewal process on the nonnegative real line with non-arithmetic distribution function F ( x ). Denote by V ( x ; t ) the distribution function of the forward recurrence time from t, t ≤ 0. If t is chosen at random with distribution function Ф( t ), the corresponding unconditional forward recurrence time has distribution function

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