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A note on the stochastic properties of a scale change random effects model |
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| Authors: | Xiaoliang Ling Peng Zhao Ping Li |
| Institution: | 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China;2. College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, China;3. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China;4. Dongling School of Economics and Management, University of Science and Technology of Beijing, Beijing 100083, China |
| Abstract: | The scale change model in survival analysis incorporates unobserved heterogeneity through a frailty that enters the baseline hazard function to change the time scale. In this paper we examine the stochastic properties of the mixtures of scale change model and build dependence between the overall population variable and the frailty variable. We also carry out stochastic comparisons between overall population variables when their respective frailty or baseline variables are ordered in the sense of various stochastic orders. Finally, we demonstrate how the variation of the baseline variable has an effect on the model. |
| Keywords: | Aging classes Dependence properties Scale change model Stochastic orders |
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