Introduction to Mathematical StatisticsThis classic book retains its outstanding ongoing features and continues to provide readers with excellent background material necessary for a successful understanding of mathematical statistics.Chapter topics cover classical statistical inference procedures in estimation and testing, and an in-depth treatment of sufficiency and testing theory—including uniformly most powerful tests and likelihood ratios. Many illustrative examples and exercises enhance the presentation of material throughout the book.For a more complete understanding of mathematical statistics. |
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Results 1-3 of 73
Page 104
... linear . In particular , E ( Xy ) = μ1 + p ( 01/02 ) ( y - μ2 ) and μ2 ) E [ Var ( X | Y ) ] = o } ( 1 − p2 ) . - = - Ꮖ . Example 2.4.2 . Let the random variables X and Y have the linear conditional means E ( Y ) = 4x + 3 and E ( X│y ) ...
... linear . In particular , E ( Xy ) = μ1 + p ( 01/02 ) ( y - μ2 ) and μ2 ) E [ Var ( X | Y ) ] = o } ( 1 − p2 ) . - = - Ꮖ . Example 2.4.2 . Let the random variables X and Y have the linear conditional means E ( Y ) = 4x + 3 and E ( X│y ) ...
Page 647
... Linear Hypotheses In this section , we consider tests of general linear hypotheses . As in the previous sections , procedures are suggested from a simple geometric point - of ... Linear Hypotheses 647 Tests of General Linear Hypotheses.
... Linear Hypotheses In this section , we consider tests of general linear hypotheses . As in the previous sections , procedures are suggested from a simple geometric point - of ... Linear Hypotheses 647 Tests of General Linear Hypotheses.
Page 697
... linear combination , 198 random matrix , 121 random vector , 82 Expected value , 54 Exponential class , 389 ... linear LS , 634 Wilcoxon , 626 Five number summary , 243 boxplot of , 243 Frequency , 2 Full linear model , 648 Function cdf ...
... linear combination , 198 random matrix , 121 random vector , 82 Expected value , 54 Exponential class , 389 ... linear LS , 634 Wilcoxon , 626 Five number summary , 243 boxplot of , 243 Frequency , 2 Full linear model , 648 Function cdf ...
Contents
Some Elementary Statistical Inferences | 5 |
Multivariate Distributions | 73 |
Some Special Distributions | 133 |
Copyright | |
14 other sections not shown
Other editions - View all
Introduction to Mathematical Statistics Robert V. Hogg,Joseph W. McKean,Allen Thornton Craig No preview available - 2005 |
Introduction to Mathematical Statistics Robert V. Hogg,Hogg,Joseph W. McKean,Allen T. Craig No preview available - 2013 |
Common terms and phrases
approximate asymptotic Bayes bootstrap C₁ C₂ chi-square distribution compute conditional pdf confidence interval Consider continuous random variable continuous type correlation coefficient critical region defined degrees of freedom denote a random determine discrete random variable discrete type discussed equal equation Example Exercise Find Fx(x gamma distribution given H₁ Hence independent random variables inequality integral joint pdf Let the random Let X1 Let Y₁ likelihood function linear marginal pdf matrix median MVUE normal distribution observations obtain order statistics p-value P(C₁ p₁ pdf f(x pdf of Y₁ Poisson distribution Proof random sample random variables X1 random vector respectively result S-PLUS sample mean sample space sequence Show significance level subsets sufficient statistic Suppose t-distribution test statistic Theorem unbiased estimator Wilcoxon X₁ X1 and X2 Y₁ Y₂ zero elsewhere σ²