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Relation between Relative Hazard Rates and Residual Divergence with some Applications to Reliability Analysis

Abstract

In the present work we discuss some new results and applications of the Kullback-Leibler residual divergence. It is shown that the residual divergence function is uniquely determined by the relative hazard rates of the constituent distributions. Some applications of this result in the series and parallel system reliability evaluations and in certain replacement policies are also suggested.

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Acknowledgments

We thank the associate editor and the reviewer for their comments on the original draft. The second and third authors wish to thank the University Grants Commission, Government of India for the financial assistance under the Special Assistance Program.

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Correspondence to N. Unnikrishnan Nair.

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Nair, N.U., Sunoj, S.M. & G., R. Relation between Relative Hazard Rates and Residual Divergence with some Applications to Reliability Analysis. Sankhya A (2022). https://doi.org/10.1007/s13171-021-00277-w

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  • DOI: https://doi.org/10.1007/s13171-021-00277-w

Keywords

  • Divergence of residual life
  • Relative hazard rate
  • Series and parallel systems
  • Dynamic proportional odds model
  • Replacement policies

AMS (2000) subject classification

  • 94A17
  • 62N07