A Modern Introduction to Probability and Statistics

Understanding Why and How

ISBN: 978-1-85233-896-1 (Print) 978-1-84628-168-6 (Online)

Table of contents (28 chapters)

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  1. No Access

    Book Chapter

    Pages 1-11

    Why probability and statistics?

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    Book Chapter

    Pages 13-24

    Outcomes, events, and probability

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    Book Chapter

    Pages 25-40

    Conditional probability and independence

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    Book Chapter

    Pages 41-55

    Discrete random variables

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    Book Chapter

    Pages 57-70

    Continuous random variables

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    Book Chapter

    Pages 71-87

    Simulation

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    Book Chapter

    Pages 89-102

    Expectation and variance

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    Book Chapter

    Pages 103-114

    Computations with random variables

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    Book Chapter

    Pages 115-134

    Joint distributions and independence

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    Book Chapter

    Pages 135-150

    Covariance and correlation

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    Book Chapter

    Pages 151-166

    More computations with more random variables

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    Book Chapter

    Pages 167-179

    The Poisson process

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    Book Chapter

    Pages 181-194

    The law of large numbers

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    Book Chapter

    Pages 195-205

    The central limit theorem

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    Book Chapter

    Pages 207-230

    Exploratory data analysis: graphical summaries

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    Book Chapter

    Pages 231-243

    Exploratory data analysis: numerical summaries

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    Book Chapter

    Pages 245-268

    Basic statistical models

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    Book Chapter

    Pages 269-284

    The bootstrap

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    Book Chapter

    Pages 285-297

    Unbiased estimators

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    Book Chapter

    Pages 299-311

    Efficiency and mean squared error

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