Author:
Kayid Mohamed, ,Alrasheedi Adel
Abstract
<abstract><p>In this paper, a mean inactivity time frailty model is considered. Examples are given to calculate the mean inactivity time for several reputable survival models. The dependence structure between the population variable and the frailty variable is characterized. The classical weighted proportional mean inactivity time model is considered as a special case. We prove that several well-known stochastic orderings between two frailties are preserved for the response variables under the weighted proportional mean inactivity time model. We apply this model on a real data set and also perform a simulation study to examine the accuracy of the model.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference44 articles.
1. I. A. Ahmad, M. Kayid, F. Pellerey, Further results involving the MIT order and the IMIT class, Probab. Eng. Inf. Sci., 19 (2005), 377–395. doi: 10.1017/S0269964805050229.
2. R. Andersen, P. Ostri, J. E. Jansen, K. Kristensen, A retrospective evaluation of 691 ureteroscopies: Indications, procedures, success rate and complications, Urol. Int., 51 (1993), 191–197. doi: 10.1159/000282543.
3. M. Asadi, A. Berred, Properties and estimation of the mean past lifetime, Statistics, 46 (2012), 405–417. doi: 10.1080/02331888.2010.540666.
4. F. G. Badía, M. D. Berrade, On the reversed hazard rate and mean inactivity time of mixtures, Amsterdam, The Netherlands: Delft Univ. Press, 2008,
5. F. G. Badía, J. H. Cha, On bending (down and up) property of reliability measures in mixtures, Metrika, 80 (2017), 455–482. doi: 10.1007/s00184-017-0613-4.
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