Applied Statistical Decision TheoryExperimentation and decision: general theory; Extensive-form analysis when sampling and terminal utilities are additive; Distribution theory. |
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Contents
The Problem and the Two Basic Modes of Analysis | 3 |
Combination of Formal and Informal Analysis | 17 |
Prior Weights and Consistent Behavior | 25 |
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actually analysis apply approaches approximation assign assume assumption beta called chapter choice choose column complete compute conditional conjugate consider constant corresponding cost cumulative decision maker defined definition denote density density function depend derived determined discussed equal equivalent estimate evaluated example expected expected value experiment experimental expression fact factor Figure fixed follows formula function gain give given identical immediately implies increases independent integral joint likelihood linear marginal mass matrix mean measure natural Normal observations obtain optimal optimal sample outcome parameter particular perfect information possible posterior distribution precision prior distribution probability problem proof prove quantity random variable rank relation respect shown space standardized Substituting Table terminal terminal opportunity loss terminal utility Theorem tion true unknown utility variance vector write