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

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  • Ebneshahrashoob, M.
  • Sobel, Milton

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

Suggested Citation

  • Ebneshahrashoob, M. & Sobel, Milton, 1990. "Sooner and later waiting time problems for Bernoulli trials: frequency and run quotas," Statistics & Probability Letters, Elsevier, vol. 9(1), pages 5-11, January.
    • Handle: RePEc:eee:stapro:v:9:y:1990:i:1:p:5-11
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