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Larsen, Richard and Marx, Morris, “An introduction to mathematical statistics and its applications”, 5th edition, Prentice Hall
ISBN 978-0-321-69394-5
Table of Contents
Preface
viii1
Introduction 11.1
An Overview 11.2
Some Examples 21.3
A Brief History 71.4
A Chapter Summary 142
Probability 162.1
Introduction 162.2
Sample Spaces and the Algebra of Sets 182.3
The Probability Function 272.4
Conditional Probability 322.5
Independence 532.6
Combinatorics 672.7
Combinatorial Probability 902.8
Taking a Second Look at Statistics (Monte Carlo Techniques) 993
Random Variables 1023.1
Introduction 1023.2
Binomial and Hypergeometric Probabilities 1033.3
Discrete Random Variables 1183.4
Continuous Random Variables 1293.5
Expected Values 1393.6
The Variance 1553.7
Joint Densities 1623.8
Transforming and Combining Random Variables 1763.9
Further Properties of the Mean and Variance 1833.10
Order Statistics 1933.11
Conditional Densities 2003.12
Moment-Generating Functions 2073.13
Taking a Second Look at Statistics (Interpreting Means) 216Appendix 3.A.1
Minitab Applications 218iii.
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