Morris L. Eaton

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Consider the problem of estimating a parametric function when the loss is quadratic. Given an improper prior distribution, there is a formal Bayes estimator for the parametric function. Associated with the estimation problem and the improper prior is a symmetric Markov chain. It is shown that if the Markov chain is recurrent, then the formal Bayes estimator(More)
This paper is a discussion of Census 2000, focusing on planned use of sampling techniques for adjustment. Past experience with similar adjustment methods suggests that the design for Census 2000 is quite risky. Adjustment was the focus of litigation in the census of 1980 and 1990. The planned use of sampling to obtain population counts for apportionment was(More)
We consider evaluation of proper posterior distributions obtained from improper prior distributions. Our context is estimating a bounded function φ of a parameter when the loss is quadratic. If the posterior mean of φ is admissible for all bounded φ the posterior is strongly admissible. In this paper, we present sufficient conditions for strong(More)
Let X rv Np(O, E), the p-variate normal distribution with mean °and positive definite covariance matrix .E. Anderson (1955) showed that if .E2 .E1 is positive semidefinite then PEl (C) 2: P E2(C) for every centrally symmetric (-C = convex set C ~ RP. Fefferman, Jodeit, and Perlman (1972) extended this result to elliptically contoured distributions. In the(More)
Genetic tests are commercially available for the purpose of aiding in the differential diagnosis of Alzheimer disease among patients with dementia. Such patients often lack the mental capacity to consent to or reject such testing. If genetic testing is to be undertaken, it is important legally and ethically to consider who should participate in the decision(More)