A log-concavity property of probability of occurrence of exactly r arbitrary events

K. Balasubramanian and N. Balakrishnan

Statistics & Probability Letters, 1993, vol. 16, issue 3, 249-251

Abstract: For a collection of n arbitrary events, we derive a sufficient condition for the log-concavity property of the sequence of probabilities of occurrence of exactly r events. For the special case of independent events, this sufficient condition is shown to be satisfied. Further, some dependence structures where this sufficient condition holds are examined.

Keywords: Log-concavity; order; statistics; independent; events; arbitrary; events; Newton's; theorem (search for similar items in EconPapers)
Date: 1993
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