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                                       Details van artikel 15 van 27 gevonden artikelen
 
 
  Hierarchical baxes predictive means and variances with application to sample survey inference
 
 
Titel: Hierarchical baxes predictive means and variances with application to sample survey inference
Auteur: Stroud, T.W.F.
Verschenen in: Communications in statistics
Paginering: Jaargang 20 (1991) nr. 1 pagina's 13-36
Jaar: 1991
Inhoud: Samples are observed from k populations having means [image omitted] ,(i and distributed according to a natural exponential family with quadratic variance function (NEF-QVF). Assuming an exchangeable two-stage prior, conjugate at the first stage, formulas for posterior means, variances and covariances of the μi are expressed in a unified way for all NEF-QVF models in terms of integrals over the posterior density of the two hyperparameters. This posterior density is expressed simply in terms of the normalizing function for the conjugate prior.Posterior predictive means and variances for averages of new observations are also obtained. These formulas are applied, with very little effort, to the finite population situation where the samples are independent simple random samples from the k populations, and where an exchangeable NEF-QVF superpopulation model is assumed. Posterior (predictive) means and variances for finite population totals, means and proportions are obtained. These results are illustrated with an application to small area estimation.
Uitgever: Taylor & Francis
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

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