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

Kiani, K ORCID: https://orcid.org/0000-0003-4541-5907 and 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) , pp. 1472-1490.

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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.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering
Journal or Publication Title: Journal of Statistical Computation and Simulation
Publisher: Taylor & Francis
ISSN: 0094-9655
Related URLs:
Depositing User: Dr Kaveh Kiani
Date Deposited: 04 Nov 2021 09:20
Last Modified: 04 Nov 2021 09:20
URI: http://usir.salford.ac.uk/id/eprint/62286

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