An additive-multiplicative mean residual life model for right-censored data

2017 ◽  
Vol 59 (3) ◽  
pp. 579-592 ◽  
Author(s):  
Jingheng Cai ◽  
Haijin He ◽  
Xinyuan Song ◽  
Liuquan Sun
Keyword(s):  
Censored Data ◽  
Residual Life ◽  
Mean Residual Life ◽  
Right Censored Data ◽  
Life Model ◽  
Multiplicative Mean

A general quantile residual life model for length‐biased right‐censored data

2019 ◽  
Vol 46 (4) ◽  
pp. 1191-1205
Author(s):  
Fangfang Bai ◽  
Xuerong Chen ◽  
Yan Chen ◽  
Tao Huang
Keyword(s):  
Censored Data ◽  
Residual Life ◽  
Right Censored Data ◽  
Life Model ◽  
Quantile Residual Life

scholarly journals An Efficient Estimation of the Mean Residual Life Function with Length-Biased Right-Censored Data

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Hongping Wu ◽  
Yihui Luan
Keyword(s):  
Monte Carlo ◽  
Censored Data ◽  
Residual Life ◽  
Random Variable ◽  
Efficient Estimation ◽  
Mean Residual Life ◽  
Right Censored Data ◽  
Monte Carlo Simulation Study ◽  
The Mean ◽  
Model Setup

The mean residual life (MRL) function for a lifetime random variableT0is one of the basic parameters of interest in survival analysis. In this paper, we propose a new estimator of the MRL function with length-biased right-censored data and evaluate its performance through a small Monte Carlo simulation study. The results of the simulations show that the proposed estimator outperforms the existing one referred to in Data and Model Setup Section in terms of Monte Carlo bias and mean square error, especially when the censoring rate is heavy. We also show that the proposed estimator converges in distribution under some conditions.

scholarly journals Mean Residual Lifetime Frailty Models: A Weighted Perspective

2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Mashael A. Alshehri ◽  
Mohamed Kayid
Keyword(s):  
Residual Life ◽  
Sufficient Conditions ◽  
Frailty Model ◽  
Random Parameter ◽  
Stochastic Orders ◽  
Residual Lifetime ◽  
Mean Residual Life ◽  
Aging Properties ◽  
Life Model ◽  
Multiplicative Mean

The mean residual life frailty model and a subsequent weighted multiplicative mean residual life model that requires weighted multiplicative mean residual lives are considered. The expression and the shape of a mean residual life for some semiparametric models and also for a multiplicative degradation model are given in separate examples. The frailty model represents the lifetime of the population in which the random parameter combines the effects of the subpopulations. We show that for some regular dependencies of the population lifetime on the random parameter, some aging properties of the subpopulations’ lifetimes are preserved for the population lifetime. We indicate that the weighted multiplicative mean residual life model generates positive dependencies of this type. The copula function associated with the model is also derived. Necessary and sufficient conditions for certain aging properties of population lifetimes in the model are determined. Preservation of stochastic orders of two random parameters for the resulting population lifetimes in the model is acquired.

Random Effect Additive Mean Residual Life Model

2016 ◽  
Vol 65 (2) ◽  
pp. 860-866 ◽  
Author(s):  
M. Kayid ◽  
S. Izadkhah ◽  
D. ALmufarrej
Keyword(s):  
Residual Life ◽  
Random Effect ◽  
Mean Residual Life ◽  
Life Model
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