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On some generalized ageing orderings

Author

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  • Asok K. Nanda
  • Nil Kamal Hazra
  • D. K. Al-Mutairi
  • M. E. Ghitany

Abstract

Some partial orderings that compare probability distributions with the exponential distribution are found to be very useful to understand the phenomenon of ageing. Here, we introduce some new generalized partial orderings which describe the same kind of phenomenon of some generalized ageing classes. We give some equivalent conditions for each of the orderings. Inter-relations among the generalized orderings have also been discussed.

Suggested Citation

  • Asok K. Nanda & Nil Kamal Hazra & D. K. Al-Mutairi & M. E. Ghitany, 2017. "On some generalized ageing orderings," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(11), pages 5273-5291, June.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:11:p:5273-5291
    DOI: 10.1080/03610926.2015.1100738
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    Cited by:

    1. Idir Arab & Paulo Eduardo Oliveira & Tilo Wiklund, 2021. "Convex transform order of Beta distributions with some consequences," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 75(3), pages 238-256, August.

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