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

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  • N. Unnikrishnan Nair

    (Cochin University of Science and Technology)

  • S. M. Sunoj

    (Cochin University of Science and Technology)

  • Rajesh G.

    (Cochin University of Science and Technology)

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.

Suggested Citation

  • N. Unnikrishnan Nair & S. M. Sunoj & Rajesh G., 2023. "Relation between Relative Hazard Rates and Residual Divergence with some Applications to Reliability Analysis," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 784-802, February.
    • Handle: RePEc:spr:sankha:v:85:y:2023:i:1:d:10.1007_s13171-021-00277-w
    DOI: 10.1007/s13171-021-00277-w
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    References listed on IDEAS

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