A unified view on lifetime distributions arising from selection mechanisms

Josemar Rodrigues, N. Balakrishnan, Gauss M. Cordeiro and Mário de Castro

Computational Statistics & Data Analysis, 2011, vol. 55, issue 12, 3311-3319

Abstract: In this paper, we formulate a flexible density function from the selection mechanism viewpoint (see, for example, Bayarri and DeGroot (1992) and Arellano-Valle et al. (2006)) which possesses nice biological and physical interpretations. The new density function contains as special cases many models that have been proposed recently in the literature. In constructing this model, we assume that the number of competing causes of the event of interest has a general discrete distribution characterized by its probability generating function. This function has an important role in the selection procedure as well as in computing the conditional personal cure rate. Finally, we illustrate how various models can be deduced as special cases of the proposed model.

Keywords: Competing; causes; Conditional; personal; cure; rate; Conditional; personal; non-cure; rate; Probability; generating; function; Selection; mechanism; Survival; analysis (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:55:y:2011:i:12:p:3311-3319

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