Bovas Abraham’s research while affiliated with University of Waterloo and other places

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Publications (1)


On characterizing mixtures of some life distributions
  • Article
  • Full-text available

July 2001

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64 Reads

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11 Citations

Statistical Papers

Bovas Abraham

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There are many practical problems in which finite mixture of probability distributions arise as models of life length. Although, the role of failure rate and mean residual life in modelling life lengths are well established, much work has not been done to characterize mixture distributions in terms of these concepts. In the present paper we establish an identity connecting the failure rate and mean residual life that characterizes two component mixtures of exponential, Lomax and beta densities. We also prove a similar result connecting the failure rate and the second moment of residual life.

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Citations (1)


... For an analogous discussion based on residual life, one may refer to Nagaraja (1975), Dallas (1979), Gupta and Gupta (1983), Galambos and Hagwood (1992), Navarro et al. (1998), Lin (2003, Sunoj (2004) and Huang and Su (2012), among others. Further related results for left truncated random variables can be found in Ruiz and Navarro (1995), Su and Huang (2000), Sankaran and Nair (2000), Abraham and Nair (2001) and El-Arishy (2005). Some reliability aspects of partial moments using quantile functions have also been studied in residual life by Nair et al. (2013). ...

Reference:

Characterizations based on higher order and partial moments of inactivity time
On characterizing mixtures of some life distributions

Statistical Papers