## Abstract We obtain harmonic extensions to the upper half space of distributions in the weighted space __w__^__n__ +1^__D__ ′, which is the optimal space of tempered distributions __S__ ′‐convolvable with the classical Euclidean version of the Poisson kernel. We also characterize the class of har
Multivariate Extensions of Univariate Life Distributions
✍ Scribed by Dilip Roy; S.P. Mukherjee
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 150 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0047-259X
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✦ Synopsis
A general approach for the development of multivariate survival models, based on a set of given marginal survivals, is presented. Preservation of IFR and IFRA properties and the nature of dependence among the variables are examined, and a recursive relation is suggested to obtain the resultant density function. In particular, an absolutely continuous Weibull distribution is derived and a few of its properties are studied.
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