For courses in mathematical statistics. Comprehensive coverage of mathematical statistics – with a proven approach Introduction to Mathematical Statistics by Hogg, McKean, and Craig enhances student comprehension and retention with numerous, illustrative examples and exercises. Classical statistical inference procedures in estimation and testing are explored extensively, and the text’s flexible organisation makes it ideal for a range of mathematical statistics courses. Substantial changes to the 8th Edition – many based on user feedback – help students appreciate the connection between statistical theory and statistical practice, while other changes enhance the development and discussion of the statistical theory presented. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.
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Title Page
Copyright Page
Dedication Page
Contents
Preface
1 Probability and Distributions
1.1 Introduction
1.2 Sets
1.2.1 Review of Set Theory
1.2.2 Set Functions
1.3 The Probability Set Function
1.3.1 Counting Rules
1.3.2 Additional Properties of Probability
1.4 Conditional Probability and Independence
1.4.1 Independence
1.4.2 Simulations
1.5 Random Variables
1.6 Discrete Random Variables
1.6.1 Transformations
1.7 Continuous Random Variables
1.7.1 Quantiles
1.7.2 Transformations
1.7.3 Mixtures of Discrete and Continuous Type Distributions
1.8 Expectation of a Random Variable
1.8.1 R Computation for an Estimation of the Expected Gain