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Details van artikel 6 van 9 gevonden artikelen
| Titel: |
On bayes allocation of the sample for estimation of the mean when each stratum has a poisson distribution |
| Auteur: |
Wright, Tommy |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 12 (1983) nr. 4 pagina's 409-426 |
| Jaar: |
1983 |
| Inhoud: |
Consider a stratified population with L strata, so that a Poisson random variable is associated with each stratum. The parameter associated with the hth stratum is [image omitted] L. Let πh be the known proportion of the population in the hth stratum[image omitted] . We want to estimate the parameter [image omitted] We assume that prior information is available on θh and that it can be expressed in terms of a gamma distribution with parameters αh and βh[image omitted] . We also assume that the prior distributions are independent Using squared error loss function, a Bayes allocation of total sample size with a cost constraint is given. The Bayes estimate using the Bayes allocation is shown t o have an adjusted mean square error which is strictly less than the adjusted mean square error of the classical estimate using the classical allocation. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 6 van 9 gevonden artikelen
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