Statistics; Probability, Inference, and Decision, Volume 1 |
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action approximation assume assumptions Bayesian Bernoulli process beta distribution binomial distribution Chapter chi-square class intervals compute confidence interval consider continuous random variable corresponding curve decision theory decision-making decision-rule defective degrees of freedom density function determine discrete discussed elementary events equal Equation EVSI exactly example expected loss expected payoff Figure fractile frequency distribution given graph H₁ independent inferences joint event linear loss function mathematical measurement median N₁ N₂ normal distribution observations occur optimal outcomes p-value pair parameter particular perfect information Poisson population distribution possible values posterior distribution posterior probabilities prior distribution prior probabilities prob probability distribution problem random sample ratio real numbers region of rejection rejection region represented rule sample information sample mean sample result sample space sample statistic sample variance sampling distribution score Section simple situation specified standard deviation statistician statistics subset Suppose theorem tion trials true zero