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Quantification of relative ageing in discrete time

Author

Listed:
  • P. G. Sankaran

    (Cochin University of Science and Technology)

  • N. Unnikrishnan Nair

    (Cochin University of Science and Technology)

  • Nidhi P. Ramesh

    (Cochin University of Science and Technology)

Abstract

The relative ageing concepts are employed either to compare the ageing patterns of two units at a fixed time or to ascertain the extent to which same unit is ageing more positively or negatively at different points of time. In the present paper, we investigate various concepts useful in studying relative ageing of discrete life distributions. The concepts in this connection are the specific ageing factor, relative ageing factor and the discrete version of the ageing intensity function. These are characterized in terms of existing ageing classes like monotone hazard rate, NBU, etc. Some stochastic orders based on reliability functions and the relative ageing are employed in finding the properties of various ageing concepts.

Suggested Citation

  • P. G. Sankaran & N. Unnikrishnan Nair & Nidhi P. Ramesh, 2016. "Quantification of relative ageing in discrete time," METRON, Springer;Sapienza Università di Roma, vol. 74(3), pages 339-355, December.
    • Handle: RePEc:spr:metron:v:74:y:2016:i:3:d:10.1007_s40300-016-0097-4
    DOI: 10.1007/s40300-016-0097-4
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    References listed on IDEAS

    as
    1. N. Unnikrishnan Nair & P. G. Sankaran, 2015. "Odds Function and Odds Rate for Discrete Lifetime Distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(19), pages 4185-4202, October.
    2. Emilio Gómez Déniz & José María Sarabia, 2016. "A discrete distribution including the Poisson," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(8), pages 2311-2322, April.
    3. Szymkowiak, Magdalena & Iwińska, Maria, 2016. "Characterizations of Discrete Weibull related distributions," Statistics & Probability Letters, Elsevier, vol. 111(C), pages 41-48.
    4. Subhash C. Kochar & Douglas P. Wiens, 1987. "Partial orderings of life distributions with respect to their aging properties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 823-829, December.
    5. G. Asha & I. Elbatal & C. J. Rejeesh, 2016. "Further results on discrete mean past lifetime," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(4), pages 1081-1098, February.
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