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| Titel: |
Bayesian analysis for an exponential surveillance model |
| Auteur: |
Petrasovits, Andres Cornell, Richard G. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 3 (1974) nr. 7 pagina's 679-689 |
| Jaar: |
1974 |
| Inhoud: |
Bayesian estimation and design are considered for a dichoto-mous response surveillance model for defectives. The probability of a defective item after storage time t is assumed to be given by F(t) = l-exp(-At), 0 < t, λ < ∞. Surveillance is carried out by removing k lots from storage and observing the size (ni), storage time (ti) and number of defectives (ri) for each lot. The ri are assumed to be independently and binomially distributed with respective expectations (ni).F(ti) A prior gamma distribution is assumed to be available for x. the posterior distribution of x is Hayes estimate assuming quadratic loss. A formula for the corresponding Bayes risk is derived as are some recursive relationships to aid in computation. A design procedure is given for selecting surveillance times and sample sizes successively one lot at a time. Tables of optimum surveillance times and Bayes risks at these times as functions of the prior parameters and sample size are provided to help with this selection procedure. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 2 van 9 gevonden artikelen
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