## A Bayesian approach to two-stage sampling: final report for period 1 May, 1972-1 January 1976 / [prepared by W. A. Ericson].Air Force Flight Dynamics Laboratory, Air Force Wright Aeronautical Laboratories, Air Force Systems Command, 1976 - Bayesian statistical decision theory - 26 pages |

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APPROACH TO TWO-STAGE Approved for public basic model Bayes estimator BAYESIAN APPROACH Bayesian sample design block number BLUE or WLSE class of prior constraints Continue on reveree Cov(X design problem Dete Entered Discrete Exchangeability discrete random variables E V(X E(ju Ericson ev(m exchangeable discrete random exchangeable prior distribution exchangeable random variables Finetti finite population finite sequence i-th i=l i=l Identity by block LABORATORIES Air Force Lemma LEON HARTER likelihood function likelihood principle maximize 38 means and variances multivariate N-dimensional optimal Bayesian sample optimal design optimal sample designs p. s. u. means parameter space population elements positive definite posterior mean prior expectation prior information probability distribution probability mass function REPORT NUMBER SECURITY CLASSIFICATION sequence of exchangeable simple random sampling STATISTICS THE UNIVERSITY subset Theorem thle Report traditional sample survey two-stage sample units within p. s. u. variance-covariance matrix V(X viewed as exchangeable WLSE's X.'s are exchangeable