Gompertz model with time-dependent covariate in the presence of interval-, right- and left-censored data

Kiani, K; Arasan, J

Abstract

In this paper, the Gompertz model is extended to incorporate time-dependent covariates in the presence of interval-, right-, left-censored and uncensored data. Then, its performance at different sample sizes, study periods and attendance probabilities are studied. Following that, the model is compared to a fixed covariate model. Finally, two confidence interval estimation methods, Wald and likelihood ratio (LR), are explored and conclusions are drawn based on the results of the coverage probability study. The results indicate that bias, standard error and root mean square error values of the parameter estimates decrease with the increase in study period, attendance probability and sample size. Also, LR was found to work slightly better than the Wald for parameters of the model.

Citation

Kiani, K., & Arasan, J. (2013). Gompertz model with time-dependent covariate in the presence of interval-, right- and left-censored data. Journal of Statistical Computation and Simulation, 83(8), 1472-1490. https://doi.org/10.1080/00949655.2012.662979

• Journal Article Type: Article
• Acceptance Date: Jan 30, 2012
• Online Publication Date: Mar 1, 2012
• Publication Date: Jan 1, 2013
• Deposit Date: Nov 4, 2021
• Journal: Journal of Statistical Computation and Simulation
• Print ISSN: 0094-9655
• Electronic ISSN: 1563-5163
• Publisher: Taylor and Francis
• Volume: 83
• Issue: 8
• Pages: 1472-1490
• DOI: https://doi.org/10.1080/00949655.2012.662979
• Publisher URL: https://doi.org/10.1080/00949655.2012.662979
• Related Public URLs: http://www.tandf.co.uk/journals/titles/00949655.asp