Log-concavity of probability of occurrence of at least r independent events
For a sequence of n independent events, it is shown that the sequences of the probability of occurrence of at least r events and the probability of occurrence of at most r - 1 events are both log-concave. The log-concavity of the sequence of distribution functions of order statistics follows as a corollary. Further, a counter example is given to show that the result does not hold for dependent events.
Year of publication: |
1991
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Authors: | Sathe, Y. S. ; Bendre, S. M. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 11.1991, 1, p. 63-64
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Publisher: |
Elsevier |
Subject: | Log-concavity independent events order statistics |
Saved in:
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