Bivariate models from univariate life distributions: A characterization cum modeling approach

Dilip Roy

Naval Research Logistics (NRL), 2004, vol. 51, issue 5, 741-754

Abstract: Bivariate life distribution models are of importance for studying interdependent components. We present a generic approach by introducing a new concept of characterized model in stead of a characterized distribution. It strikes a balance between characterization and modeling approaches to eliminate their individual limitations and incorporate their respective strengths. The proposed model, being a characterized one, admits many important properties irrespective of the choice of marginal distributions. The retention of univariate IFR, DFR, IFRA, DFRA, NBU, and NWU class properties in the bivariate setup has been ensured along with some results on series combinations and convolution. No other models, available in the literature, can ensure simultaneous retention of these fundamental and extremely important class properties. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004

Date: 2004
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https://doi.org/10.1002/nav.20027

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:51:y:2004:i:5:p:741-754

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