Comparison of hypertabastic survival model with other unimodal hazard rate functions using a goodness‐of‐fit test |
| |
| Authors: | M Ramzan Tahir Quang X Tran Mikhail S Nikulin |
| |
| Institution: | 1. Department of Experimental Medicine, McGill University, Montreal, Canada;2. Faculty of Foundation Studies, Thai Binh University, Vietnam;3. Institute of Mathematics of Bordeaux, University of Bordeaux, France |
| |
| Abstract: | We studied the problem of testing a hypothesized distribution in survival regression models when the data is right censored and survival times are influenced by covariates. A modified chi‐squared type test, known as Nikulin‐Rao‐Robson statistic, is applied for the comparison of accelerated failure time models. This statistic is used to test the goodness‐of‐fit for hypertabastic survival model and four other unimodal hazard rate functions. The results of simulation study showed that the hypertabastic distribution can be used as an alternative to log‐logistic and log‐normal distribution. In statistical modeling, because of its flexible shape of hazard functions, this distribution can also be used as a competitor of Birnbaum‐Saunders and inverse Gaussian distributions. The results for the real data application are shown. Copyright © 2017 John Wiley & Sons, Ltd. |
| |
| Keywords: | accelerated failure time models goodness‐of‐fit test hypertabastic survival model unimodal hazard rate functions |
|
|
