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
11 - Approximation of Probability Distributions
Published online by Cambridge University Press: 27 October 2009
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
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- Elements of Distribution Theory , pp. 322 - 364Publisher: Cambridge University PressPrint publication year: 2005