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Memory of Distributions: A Renewal Theoretic Approach

Abstract

Here we propose a new definition of memory of distributions in a renewal-theoretic framework and study the corresponding notions of ageing and ordering of distributions. Discrete life times are also considered.

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Acknowledgements

Authors thank the referee for the suggestions that improved the presentation very much.

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The research reported in this article is not funded.

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Correspondence to S. Satheesh.

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Ideas in this paper were presented at ISBIS - Kochi - 2020, December 28–30, CUSAT, India.

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Nair, N.U., Satheesh, S. & Sandhya, E. Memory of Distributions: A Renewal Theoretic Approach. J Indian Soc Probab Stat 23, 173–185 (2022). https://doi.org/10.1007/s41096-022-00117-6

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  • DOI: https://doi.org/10.1007/s41096-022-00117-6

Keywords

  • Ageing
  • Equilibrium distribution
  • Memory
  • Ordering
  • Renewal theory
  • Residual life

Mathematics Subject Classification

  • 60E15
  • 60K10
  • 62N05