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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Page 46
... pdf or pmf is constant on the support of X is said to have a uniform distribution . Example 1.7.1 ( Point Chosen at ... probability that the time between successive 46 Probability and Distributions.
... pdf or pmf is constant on the support of X is said to have a uniform distribution . Example 1.7.1 ( Point Chosen at ... probability that the time between successive 46 Probability and Distributions.
Page 390
... pdf or pmf may be written as the product of the two nonnegative functions n n exp [ p ( 0 ) K ( z1 ) + ng ( 0 ) exp ... pdf or pmf given by ( 7.5.1 ) . Consider the statistic Y1 K ( X ) . Then , = 1. The pdf or pmf of Y1 has the form ...
... pdf or pmf may be written as the product of the two nonnegative functions n n exp [ p ( 0 ) K ( z1 ) + ng ( 0 ) exp ... pdf or pmf given by ( 7.5.1 ) . Consider the statistic Y1 K ( X ) . Then , = 1. The pdf or pmf of Y1 has the form ...
Page 398
... pdf f ( x ; 0 ) = ( 1/0 ) exp ( −x / 0 ) I ( 0 , ∞ ) ( x ) . Find the mle ... pmf may not depend upon a single parameter 0 , but perhaps upon two ( or ... pdf or pmf f ( x ; 0 ) , where ✪ € N C RP . Let S denote the support of X. Let Y ...
... pdf f ( x ; 0 ) = ( 1/0 ) exp ( −x / 0 ) I ( 0 , ∞ ) ( x ) . Find the mle ... pmf may not depend upon a single parameter 0 , but perhaps upon two ( or ... pdf or pmf f ( x ; 0 ) , where ✪ € N C RP . Let S denote the support of X. Let Y ...
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 |
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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