# The Cox Model and Its ApplicationsThe AFT, GPH, LT, Frailty, and GLPH Models

The Cox Model and Its Applications: The AFT, GPH, LT, Frailty, and GLPH Models [Under the covariate x(·)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x(\cdot )$$\end{document} the probability Sx(·)(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{x(\cdot )}(t)$$\end{document} characterizes for any fixed t the summing effectThe AFT, GPH, LT, frailty, and GLPH models of covariate values in the interval [0, t] on survival.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

# The Cox Model and Its ApplicationsThe AFT, GPH, LT, Frailty, and GLPH Models

Part of the SpringerBriefs in Statistics Book Series
9 pages

/lp/springer-journals/the-cox-model-and-its-applications-the-aft-gph-lt-frailty-and-glph-8c86ntYUYH
Publisher
Springer Berlin Heidelberg
ISBN
978-3-662-49331-1
Pages
53 –62
DOI
10.1007/978-3-662-49332-8_4
Publisher site
See Chapter on Publisher Site

### Abstract

[Under the covariate x(·)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x(\cdot )$$\end{document} the probability Sx(·)(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_{x(\cdot )}(t)$$\end{document} characterizes for any fixed t the summing effectThe AFT, GPH, LT, frailty, and GLPH models of covariate values in the interval [0, t] on survival.]

Published: Apr 12, 2016

Keywords: Hazard Rate; Survival Function; Frailty Model; Cumulative Hazard; Accelerate Failure Time Model