An Additive-Multiplicative Restricted Mean Residual Life Model

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

An Additive-Multiplicative Restricted Mean Residual Life Model. / Mansourvar, Zahra; Martinussen, Torben; Scheike, Thomas H.

In: Scandinavian Journal of Statistics, Vol. 43, No. 2, 06.2016, p. 487-504.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Mansourvar, Z, Martinussen, T & Scheike, TH 2016, 'An Additive-Multiplicative Restricted Mean Residual Life Model', Scandinavian Journal of Statistics, vol. 43, no. 2, pp. 487-504. https://doi.org/10.1111/sjos.12187

APA

Mansourvar, Z., Martinussen, T., & Scheike, T. H. (2016). An Additive-Multiplicative Restricted Mean Residual Life Model. Scandinavian Journal of Statistics, 43(2), 487-504. https://doi.org/10.1111/sjos.12187

Vancouver

Mansourvar Z, Martinussen T, Scheike TH. An Additive-Multiplicative Restricted Mean Residual Life Model. Scandinavian Journal of Statistics. 2016 Jun;43(2):487-504. https://doi.org/10.1111/sjos.12187

Author

Mansourvar, Zahra ; Martinussen, Torben ; Scheike, Thomas H. / An Additive-Multiplicative Restricted Mean Residual Life Model. In: Scandinavian Journal of Statistics. 2016 ; Vol. 43, No. 2. pp. 487-504.

Bibtex

@article{ad5e208a51684f6890493f9925680b68,
title = "An Additive-Multiplicative Restricted Mean Residual Life Model",
abstract = "The mean residual life measures the expected remaining life of a subject who has survived up to a particular time. When survival time distribution is highly skewed or heavy tailed, the restricted mean residual life must be considered. In this paper, we propose an additive-multiplicative restricted mean residual life model to study the association between the restricted mean residual life function and potential regression covariates in the presence of right censoring. This model extends the proportional mean residual life model using an additive model as its covariate dependent baseline. For the suggested model, some covariate effects are allowed to be time-varying. To estimate the model parameters, martingale estimating equations are developed, and the large sample properties of the resulting estimators are established. In addition, to assess the adequacy of the model, we investigate a goodness of fit test that is asymptotically justified. The proposed methodology is evaluated via simulation studies and further applied to a kidney cancer data set collected from a clinical trial.",
keywords = "Additive model, Counting process, Martingale estimating equation, Model checking, Proportional model, Restricted mean residual life, Right censoring, Time-varying effect",
author = "Zahra Mansourvar and Torben Martinussen and Scheike, {Thomas H.}",
year = "2016",
month = jun,
doi = "10.1111/sjos.12187",
language = "English",
volume = "43",
pages = "487--504",
journal = "Scandinavian Journal of Statistics",
issn = "0303-6898",
publisher = "Wiley-Blackwell",
number = "2",

}

RIS

TY - JOUR

T1 - An Additive-Multiplicative Restricted Mean Residual Life Model

AU - Mansourvar, Zahra

AU - Martinussen, Torben

AU - Scheike, Thomas H.

PY - 2016/6

Y1 - 2016/6

N2 - The mean residual life measures the expected remaining life of a subject who has survived up to a particular time. When survival time distribution is highly skewed or heavy tailed, the restricted mean residual life must be considered. In this paper, we propose an additive-multiplicative restricted mean residual life model to study the association between the restricted mean residual life function and potential regression covariates in the presence of right censoring. This model extends the proportional mean residual life model using an additive model as its covariate dependent baseline. For the suggested model, some covariate effects are allowed to be time-varying. To estimate the model parameters, martingale estimating equations are developed, and the large sample properties of the resulting estimators are established. In addition, to assess the adequacy of the model, we investigate a goodness of fit test that is asymptotically justified. The proposed methodology is evaluated via simulation studies and further applied to a kidney cancer data set collected from a clinical trial.

AB - The mean residual life measures the expected remaining life of a subject who has survived up to a particular time. When survival time distribution is highly skewed or heavy tailed, the restricted mean residual life must be considered. In this paper, we propose an additive-multiplicative restricted mean residual life model to study the association between the restricted mean residual life function and potential regression covariates in the presence of right censoring. This model extends the proportional mean residual life model using an additive model as its covariate dependent baseline. For the suggested model, some covariate effects are allowed to be time-varying. To estimate the model parameters, martingale estimating equations are developed, and the large sample properties of the resulting estimators are established. In addition, to assess the adequacy of the model, we investigate a goodness of fit test that is asymptotically justified. The proposed methodology is evaluated via simulation studies and further applied to a kidney cancer data set collected from a clinical trial.

KW - Additive model

KW - Counting process

KW - Martingale estimating equation

KW - Model checking

KW - Proportional model

KW - Restricted mean residual life

KW - Right censoring

KW - Time-varying effect

UR - http://www.scopus.com/inward/record.url?scp=84966713064&partnerID=8YFLogxK

U2 - 10.1111/sjos.12187

DO - 10.1111/sjos.12187

M3 - Journal article

AN - SCOPUS:84966713064

VL - 43

SP - 487

EP - 504

JO - Scandinavian Journal of Statistics

JF - Scandinavian Journal of Statistics

SN - 0303-6898

IS - 2

ER -

ID: 161793237