Sooner and later waiting time problems for Bernoulli trials: frequency and run quotas

M. Ebneshahrashoob and Milton Sobel

Statistics & Probability Letters, 1990, vol. 9, issue 1, 5-11

Abstract: For a sequence of independent Bernoulli trials with probabilities of success and failure p and q respectively, the sooner and later waiting time random variables for the succession quota (s successes and r failures) is studied by deriving a generalized pgf and obtaining the means and variances. The same problems are considered with the usual frequency quota (s successes and r failures) using Dirichlet integral methodology; the above results hold for general p (0

Keywords: Bernoulli; trials; sooner; and; later; problems; frequency; vs.; succession; (run); quotas; applications; of; Dirichlet; integrals; generalized; probability; generating; function (search for similar items in EconPapers)
Date: 1990
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Citations: View citations in EconPapers (24)

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