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 46
Page 629
... Wilcoxon fit , several choices seem appropriate . We will use the median of the Wilcoxon residuals . That is , let âw = med1 < i < n { Yi – Bw Xi } . ( 12.2.27 ) Remark 12.2.1 ( Computation ) . There are resources available to compute ...
... Wilcoxon fit , several choices seem appropriate . We will use the median of the Wilcoxon residuals . That is , let âw = med1 < i < n { Yi – Bw Xi } . ( 12.2.27 ) Remark 12.2.1 ( Computation ) . There are resources available to compute ...
Page 630
... Wilcoxon normal equations , ( 12.2.9 ) . Hint : Use the identity n || Y − xcß || w = Σa ( i ) ( Y — xcß ) ( i ) ' · - i = 1 - 12.2.4 . For the Wilcoxon regression procedure , which vector is orthogonal to Ŷw ? 12.2.5 . For Model ( 12.2 ...
... Wilcoxon normal equations , ( 12.2.9 ) . Hint : Use the identity n || Y − xcß || w = Σa ( i ) ( Y — xcß ) ( i ) ' · - i = 1 - 12.2.4 . For the Wilcoxon regression procedure , which vector is orthogonal to Ŷw ? 12.2.5 . For Model ( 12.2 ...
Page 693
... Wilcoxon estima- tor for shift , 547 multiple linear LS , 644 Wilcoxon , 645 sample median , 529 , 621 Asymptotic Power Lemma , 524 general scores , 553 Mann - Whitney - Wilcoxon , 546 sign test , 524 signed - rank Wilcoxon , 537 ...
... Wilcoxon estima- tor for shift , 547 multiple linear LS , 644 Wilcoxon , 645 sample median , 529 , 621 Asymptotic Power Lemma , 524 general scores , 553 Mann - Whitney - Wilcoxon , 546 sign test , 524 signed - rank Wilcoxon , 537 ...
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