Mathematical Statistics: Basic Ideas and Selected Topics

a₁ asymptotic B₁ B₂ Bayes binomial trials bivariate normal c₁ Chapter compute conditional distribution confidence bounds confidence interval continuous corresponding critical value defined denote density discrete equivalent error Example experiment exponential family family of distributions finite frequency function given Hint independent instance Lehmann Let X₁ level a test likelihood ratio test linear model maximum likelihood estimate mean measure method of moments minimax N₁ n₂ normal distribution observations obtain order statistics p-value P₁ parameter exponential family population predictor Problem procedures quantile R₁ random variables random vector reject H result sample Section Show Slutsky's theorem ẞ₁ sufficient statistic Suppose T₁ Table test of H test statistic testing H theory two-sample type I error U.M.P. level U.M.V.U. estimate unbiased estimate V₁ variance o² versus Wilcoxon Wiley & Sons X₁ Y₁ Z₁ µ₁ σ²