The use of multiple integrals in the study of the backward and forward recurrence times for the ordinary renewal process
Authors:
K. G. Gakis a;
B. D. Sivazlian a
| Affiliation: | a Department of Industrial and Systems Engineering, The University of Florida, Gainesville, Fl, U.S.A |
DOI:
10.1080/07362999208809279
Publication Frequency:
6 issues per year
Formats available:
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(English)
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Abstract
Using a result in multiple integrals, the joint distribution function of the backward and forward recurrence times for the time dependent ordinary renewal process is derived. A similar methodology is used to find the distribution of their sums. The well known limiting behavior of these distributions is recovered
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