Bayesian Analysis of Hazard Regression Models under Order Restrictions on Covariate Effects and Ageing

Arnab Bhattacharjee () and Madhuchhanda Bhattacharjee

Discussion Paper Series, Department of Economics from Department of Economics, University of St. Andrews

Abstract: We propose Bayesian inference in hazard regression models where the baseline hazard is unknown, covariate effects are possibly agevarying (non-proportional), and there is multiplicative frailty with arbitrary distribution. Our framework incorporates a wide variety of order restrictions on covariate dependence and duration dependence (ageing). We propose estimation and evaluation of age-varying covariate e¤ects when covariate dependence is monotone rather than proportional. In particular, we consider situations where the lifetime conditional on a higher value of the covariate ages faster or slower than that conditional on a lower value; this kind of situation is common in applications. In addition, there may be restrictions on the nature of ageing. For example, relevant theory may suggest that the baseline hazard function decreases with age. The proposed framework enables evaluation of order restrictions in the nature of both covariate and duration dependence as well as estimation of hazard regression models under such restrictions. The usefulness of the proposed Bayesian model and inference methods are illustrated with an application to corporate bankruptcies in the UK.

Keywords: Bayesian nonparametrics; Nonproportional hazards; Frailty; Age-varying covariate e¤ects; Ageing. (search for similar items in EconPapers)
JEL-codes: C11 C14 C41 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm
Date: 2007-09
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Working Paper: Bayesian Analysis of Hazard Regression Models under Order Restrictions on Covariate Effects and Ageing (2007)
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