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. |
From inside the book
Results 1-3 of 87
Page 123
... Determine the cdf of X , Y and Z. ( f ) Find the conditional distribution of X and Y , given Z = z , and evaluate E ( X + Y 2 ) . ( g ) Determine the conditional distribution of X , given Y = y and Z = z , and compute E ( Xy , z ) . 2.6 ...
... Determine the cdf of X , Y and Z. ( f ) Find the conditional distribution of X and Y , given Z = z , and evaluate E ( X + Y 2 ) . ( g ) Determine the conditional distribution of X , given Y = y and Z = z , and compute E ( Xy , z ) . 2.6 ...
Page 188
... Determine b so that P ( −b < T < b ) = 0.90 . Use either Table IV or , if available , R or S - PLUS . 3.6.3 . Let T have a t - distribution with r > 4 degrees of freedom . Use expression ( 3.6.4 ) to determine the kurtosis of T. See ...
... Determine b so that P ( −b < T < b ) = 0.90 . Use either Table IV or , if available , R or S - PLUS . 3.6.3 . Let T have a t - distribution with r > 4 degrees of freedom . Use expression ( 3.6.4 ) to determine the kurtosis of T. See ...
Page 295
... Determine a method to generate random observations for the following pdf , f ( x ) = { 4x3 0 < x < 1 0 elsewhere . If access is available , write an R function which returns a random sample of obser- vations from this pdf . 5.8.6 .
... Determine a method to generate random observations for the following pdf , f ( x ) = { 4x3 0 < x < 1 0 elsewhere . If access is available , write an R function which returns a random sample of obser- vations from this pdf . 5.8.6 .
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