Quantification of relative ageing in discrete time

P. G. Sankaran (), N. Unnikrishnan Nair () and Nidhi P. Ramesh ()
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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

METRON, 2016, vol. 74, issue 3, No 4, 339-355

Abstract: 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.

Keywords: Relative ageing; Stochastic orders; Specific ageing factor; Relative ageing factor; Ageing intensity function (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s40300-016-0097-4

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