Information in Selection Models

M. J. Bayarri and M. H. DeGroot
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M. J. Bayarri: Univ. de Valencia, Dep. Estadística e IO Fac. Matemáticas
M. H. DeGroot: Carnegie-Mellon Univ., Dept. of Statistics

A chapter in Probability and Bayesian Statistics, 1987, pp 39-51 from Springer

Abstract: Abstract The experiment in which a selection sample is drawn from some distribution involving an unknown parameter θ is compared according to various criteria with the usual experiment in which an unrestricted random sample is drawn from that distribution. The Fisher information is studied for several of these experiments, and conditions under which the experiments are ordered with respect to the criterion of sufficiency or pairwise sufficiency are presented. Standard problems involving selection samples from the normal, binomial, and Poisson distributions are discussed in detail. Some results for general exponential families and for selection models involving bivariate observations are also considered.

Keywords: Parameter Space; Selection Model; Poisson Distribution; Fisher Information; American Statistical Association (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-1885-9_5

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DOI: 10.1007/978-1-4613-1885-9_5

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