Abstract
The problems of estimating the reliability function and Pr{X1+...+Xk ≤ Y} are considered. The random variables X’s and Y are assumed to follow binomial and Poisson distributions. Classical estimators available in the literature are discussed and Bayes estimators are derived. In order to obtain the estimators of these parametric functions, the basic role is played by the estimators of factorial moments of the two distributions.
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Chaturvedi, A., Tiwari, N. & Kumar, S. Some remarks on classical and bayesian reliability estimation of binomial and poisson distributions. Statistical Papers 48, 683–693 (2007). https://doi.org/10.1007/s00362-007-0363-2
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DOI: https://doi.org/10.1007/s00362-007-0363-2