Life Distributions: Structure of Nonparametric, Semiparametric, and Parametric Families (Hardcover)

Preliminaries.- Ordering distributions: Descriptive statistics.- Mixtures .- Nonparametric families: densities and hazard rates.- Nonparametric families: origins in reliability theory.- Nonparametric famlies: inequalities for moments and survival functions.- Semiparametric families.- Exponential distributions.- Parametric extensions of the exponential distribution.- Gompertz and Gompertz-Makeham distributions- Pareto and F distributions and their parametric extensions.- Logarithmic distributions.- Inverse Gaussian distributions.- Distributions with bounded support.- Additional parametric families.- Covariate models.- Several types of failure; competing risks.- Characterizations through coincidences of semiparametric families.- More about semiparametric families.- Some topics from probability theory.- Convexity and total positivity.- Functional equations.- The Gamma and Beta functions.- Some topics from calculus and analysis.