Setting the clock back to zero property of a class of bivariate life distributions |
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Authors: | B Raja rao C V Damaraju Jasem M Alhumoud |
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Institution: | 1. Department of Biostatistics , University of Pittsburgh , Graduate School of Public Health, Pittsburgh, PA, 15261;2. Department of Civil Engineering , University of Pittsburgh , Pittsburgh, PA, 15261 |
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Abstract: | In a previous paper. B. R. Rao and Talwalker (1993) considered absolutely continuous life distributions and extended the Lack of Memory Property (L.M.P.) of the exponential distribution and showed that several classes of life distributions have this property, which was called the 'setting the clock back to zero' property. ¶Its analog is discussed in the present paper for hivariate and multivariate classes of life distributions. As a simple application of this analog, it is proved that the Life expectancy and the Percentile Residual Life vectors of a population of individuals under the influence of multiple competing risks have simple expressions if the class of their joint life distributions has the setting the clock back to zero property, |
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Keywords: | Force of mortality survival function hi-variate Pareto Gumbel's and Marshall and Olkhrs bivariate exponential distributions Life expectancy vector |
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