## Statistical Decision Functions |

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### Contents

MANY STRATEGIES | 32 |

DEVELOPMENT OF A GENERAL THEORY | 59 |

PROPERTIES OF BAYES SOLUTIONS WHEN | 103 |

Copyright | |

2 other sections not shown

### Common terms and phrases

accept according admissible adopted assigns assumed Assumptions 3.1 Bayes solution relative Borel field bounded carried chance variables Chapter choice Clearly compact complete class condition consider consists constant contains continuous convergence corresponding cost of experimentation decision function decision problem defined definition denote depends discrete easily element equal equation estimate example exists experiment experimentation finite follows formulate given Hence hold hypothesis identically immediate independently interval intrinsic least favorable Lemma mean metric minimal minimax solution observations obtained parameter particular positive integer possible priori distribution priori probability measure probability measure Proof proved relation replaced represented respectively restricted risk sample satisfies selected sense separable sequence simple single space stage strategy strictly determined subset sufficient Supę Suppose terminal decision Theorem theory tion true uniformly weight function zero