## Statistical decision theory and related topics III, Volume 1 |

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### Contents

n 3mod 4 62K05 62K15 05B20 | 15 |

Economics of Some TwoPhase Sampling Strategies | 37 |

Closed Adaptive Sequential Procedures for Selecting the Best | 61 |

Copyright | |

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1-stage 1982 by Academic admissible AmeA assume assumptions asymptotic Bayes estimator Bayes risk Bayesian Bechhofer Berger binomial blocks bounded calibration computed condition conjugate prior consider convex Corollary decision problem decision rule defined denote Department of Statistics example exponential families finite given Goal Gupta Hence hold implies improper prior inadmissible independent inequality integration Kiefer Lebesgue measure Lemma linear linear subspace loss function Math matrix mean square error measure minimax minimizes multivariate normal distribution Note O'O O'O O'O observations obtained optimal P{CS populations posterior distribution predictive density prior distribution probability proof properties Purdue random regression relative interior RemaAk risk function robust RQpT sampling rule satisfied Section selection rule sequence sequential procedures Sobel stochastic stopping strategy subset selection Suppose symmetric Theorem 3.1 Theory and Related tion uniformly University values variables variance vector zero