Life Distributions Structure of Nonparametric, Semiparametric, and Parametric Families

Life Distributions Structure of Nonparametric, Semiparametric, and Parametric Families / by Albert W. Marshall, Ingram Olkin.

For over 200 years, practitioners have been developing parametric families of probability distributions for data analysis. More recently, an active development of nonparametric and semiparametric families has occurred. This book includes an extensive discussion of a wide variety of distribution fami...

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Bibliographic Details
Main Authors: Marshall, Albert W. (Author), Olkin, Ingram (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Series:Springer Series in Statistics,
Springer eBook Collection.
Subjects:
Quality control.
Reliability.
Industrial safety.
Statistics .
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Basics
  • Preliminaries
  • Ordering Distributions: Descriptive Statistics
  • Mixtures
  • Nonparametric Families
  • Nonparametric Families: Densities and Hazard Rates
  • Nonparametric Families: Origins in Reliability Theory
  • Nonparametric Families: Inequalities for Moments and Survival Functions
  • Semiparametric Families
  • Semiparametric Families
  • Parametric Families
  • The Exponential Distribution
  • Parametric Extensions of the Exponential Distribution
  • Gompertz and Gompertz-Makeham Distributions
  • The Pareto and F Distributions and Their Parametric Extensions
  • Logarithmic Distributions
  • The Inverse Gaussian Distribution
  • Distributions with Bounded Support
  • Additional Parametric Families
  • Models Involving Several Variables
  • Covariate Models
  • Several Types of Failure: Competing Risks
  • More About Semi-parametric Families
  • Characterizations Through Coincidences of Semiparametric Families
  • More About Semiparametric Families
  • Complementary Topics
  • Some Topics from Probability Theory
  • Convexity and Total Positivity
  • Some Functional Equations
  • Gamma and Beta Functions
  • Some Topics from Analysis.

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