Nieto-Barajas, L.E. and Walker, S.G. (2002) Markov beta and gamma processes for modelling hazard rates. Scandinavian Journal of Statistics, 29 (3). pp. 413-424. ISSN 0303-6898 .
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This paper generalizes the discrete time independent increment beta process of Hjort (1990), for modelling discrete failure times, and also generalizes the independent gamma process for modelling piecewise constant hazard rates (Walker and Mallick, 1997). The generalizations are from independent increment to Markov increment prior processes allowing the modelling of smoothness. We derive posterior distributions and undertake a full Bayesian analysis.
|Uncontrolled keywords:||Bayes non-parametrics; beta process; gamma process; Markov process; stationary process; survival analysis|
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Statistics|
|Depositing User:||Judith Broom|
|Date Deposited:||21 Oct 2008 16:36|
|Last Modified:||14 Jan 2010 14:40|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/10566 (The current URI for this page, for reference purposes)|
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