Book contents
- Frontmatter
- Contents
- Preface
- 1 Properties of Probability Distributions
- 2 Conditional Distributions and Expectation
- 3 Characteristic Functions
- 4 Moments and Cumulants
- 5 Parametric Families of Distributions
- 6 Stochastic Processes
- 7 Distribution Theory for Functions of Random Variables
- 8 Normal Distribution Theory
- 9 Approximation of Integrals
- 10 Orthogonal Polynomials
- 11 Approximation of Probability Distributions
- 12 Central Limit Theorems
- 13 Approximations to the Distributions of More General Statistics
- 14 Higher-Order Asymptotic Approximations
- Appendix 1 Integration with Respect to a Distribution Function
- Appendix 2 Basic Properties of Complex Numbers
- Appendix 3 Some Useful Mathematical Facts
- References
- Name Index
- Subject Index
References
Published online by Cambridge University Press: 27 October 2009
- Frontmatter
- Contents
- Preface
- 1 Properties of Probability Distributions
- 2 Conditional Distributions and Expectation
- 3 Characteristic Functions
- 4 Moments and Cumulants
- 5 Parametric Families of Distributions
- 6 Stochastic Processes
- 7 Distribution Theory for Functions of Random Variables
- 8 Normal Distribution Theory
- 9 Approximation of Integrals
- 10 Orthogonal Polynomials
- 11 Approximation of Probability Distributions
- 12 Central Limit Theorems
- 13 Approximations to the Distributions of More General Statistics
- 14 Higher-Order Asymptotic Approximations
- Appendix 1 Integration with Respect to a Distribution Function
- Appendix 2 Basic Properties of Complex Numbers
- Appendix 3 Some Useful Mathematical Facts
- References
- Name Index
- Subject Index
Summary
- Type
- Chapter
- Information
- Elements of Distribution Theory , pp. 503 - 506Publisher: Cambridge University PressPrint publication year: 2005