Life distributions : structure of nonparametric, semiparametric, and parametric families / Albert W. Marshall, Ingram Olkin.
Marshall, Albert W.
Life distributions : structure of nonparametric, semiparametric, and parametric families / Albert W. Marshall, Ingram Olkin. - New York ; London : Springer, 2007. - xviii, 782 p. : ill. ; 24 cm. - Springer series in statistics .
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.
9780387203331 (hbk.) 0387203338 (hbk.)
2007925439
GBA702266bnb
Distribution (Probability theory)
Distribución (Teoría de probabilidades)
Life distributions : structure of nonparametric, semiparametric, and parametric families / Albert W. Marshall, Ingram Olkin. - New York ; London : Springer, 2007. - xviii, 782 p. : ill. ; 24 cm. - Springer series in statistics .
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.
9780387203331 (hbk.) 0387203338 (hbk.)
2007925439
GBA702266bnb
Distribution (Probability theory)
Distribución (Teoría de probabilidades)