Some results involving HNBUE distributions

Some results involving HNBUE distributions

A characterization of the exponential distribution in the class of all distributions which are HNBUE or HNWUE is proved. An upper (a lower) bound is obtained on the renewal function of a renewal process when the underlying distribution is HNBUE (HNWUE).

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Veröffentlicht in:Journal of applied probability 1986-12, Vol.23 (4), p.1038-1044
Hauptverfasser: Basu, A. P., Kirmani, S. N. U. A.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Exact sciences and technology
Mathematical functions
Operational research and scientific management
Operational research. Management science
Random variables
Reliability theory. Replacement problems
Short Communications
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Zusammenfassung:A characterization of the exponential distribution in the class of all distributions which are HNBUE or HNWUE is proved. An upper (a lower) bound is obtained on the renewal function of a renewal process when the underlying distribution is HNBUE (HNWUE).
ISSN:0021-9002
1475-6072
DOI:10.2307/3214478