Semiparametric regression analysis of mean residual life with censored survival data. (English) Zbl 1068.62044

Chen, Y. Q.; Cheng, S.

Biometrika 92, No. 1, 19-29 (2005).

Summary: As function of time \(t\), a mean residual life is the remaining life expectancy of a subject given survival up to \(t\). The proportional mean residual life model, proposed by D. Oakes and T. Dasu [ibid. 77, No. 2, 409–410 (1990; Zbl 0713.62018)], provides an alternative to the Cox proportional hazards model for studying the association between survival times and covariates. In the presence of censoring, we use counting process theory to develop semiparametric inference procedures for the regression coefficients of the Oakes-Dasu model. Simulation studies and an application to the well-known Veterans’ Administration lung cancer survival data are presented.

MSC:

62G08	Nonparametric regression and quantile regression
62N01	Censored data models
62P10	Applications of statistics to biology and medical sciences; meta analysis
65C60	Computational problems in statistics (MSC2010)

Keywords:

Counting process; Estimating equation; Failure time; Life expectancy; Proportional model; Stochastic process

Citations:

Zbl 0713.62018