Mathematical Statistics: Basic Ideas and Selected Topics

a₁ alternative assume asymptotic B₁ Bayes binomial trials c₁ calculate central limit theorem Chapter compute confidence bounds confidence interval continuous corresponding critical value defined denote density discrete equivalent Example experiment exponential family finite frequency function given Hint hypothesis independent instance Lehmann Let X₁ level a test likelihood ratio test linear model mean measure minimax n₁ n₂ normal distribution observations obtain one-way layout order statistics p-value p₁ population power function Problem procedures quantile R₁ random variables random vector reject H S₁ sample Section Show Slutsky's theorem sufficient statistic Suppose T₁ test of H test statistic testing H theory two-sample two-sided test type I error U.M.P. level U.M.V.U. estimate unbiased estimate v₁ variance versus Wilcoxon X₁ Y₁ Z₁ β₁ β₂ θ₁ θο μ₁ μ₂ μι μο σ²