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. |
Contents
Some Elementary Statistical Inferences | 5 |
Multivariate Distributions | 74 |
Some Special Distributions | 134 |
Copyright | |
15 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 assume asymptotic binomial C₁ C₂ chi-square distribution compute conditional pdf confidence interval Consider continuous random variable continuous type converges in distribution correlation coefficient critical region defined degrees of freedom determine discussed distribution with parameters equal equation Example Exercise Find Fx(x gamma distribution given H₁ Hence Hint hypothesis independent random variables inequality integral joint pdf Let the random Let X1 Let Y₁ likelihood ratio linear marginal pdf matrix median normal distribution observations obtain order statistics p-value P(C₁ p₁ pdf f(x Poisson distribution power function Proof quantiles random sample random variables X1 random vector respectively result S-PLUS sample mean sample space sequence Show significance level standard normal sufficient statistic Suppose t-distribution test statistic Theorem unbiased estimator Wilcoxon X₁ X1 and X2 Y₁ Y₂ zero elsewhere