Accession Number:

AD0683322

Title:

ON DISTRIBUTION FUNCTION - MOMENT RELATIONSHIPS IN A STATIONARY POINT PROCESS,

Descriptive Note:

Corporate Author:

NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Report Date:

1969-02-01

Pagination or Media Count:

21.0

Abstract:

Let G sub n t denote the distribution function for the time to the n-th event in a stationary regular point process, and F sub n t the corresponding distribution function, conditional on an event having occurred at t 0. i.e., F sub n t represents the distribution of the time from an arbitrary event to the n-th subsequent event. Let No, t denote the number of events in o, t. Relationships between the distribution functions G sub n, F sub n, and the moments unconditional and conditional of No, t are obtained. Specifically, series are given for G sub n t in terms of factorial moments of No, t, and for F sub n t in terms of such moments, conditional on the occurrence of an event at t 0. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE