Applied Statistical Decision Theory

a₁ approximation assign Bernoulli process beta function binomial compute conditional measure conjugate Conjugate prior cost cumulative function data-generating process decision maker decision problem decision tree defined definition denote estimate evaluated EVPI EVSI example expected terminal opportunity expected utility expected value experiment experimental outcome extensive form Ezle Figure follows formula gamma gamma-2 given h is known h is unknown Independent Normal process kernel likelihood linear linear-loss integrals marginal measure mass function matrix maxa mean and variance normalized density function observations obtain optimal act optimal sample perfect information Poisson possible posterior density posterior distribution preposterior analysis prior density prior distribution probability prove Pzle quantity random variable result Section stopping process substituting sufficient statistic Table terminal act terminal analysis terminal opportunity loss terminal utility theorem tion unconditional distribution vector κι(α μι ρη