Stochastic comparisons and ageing properties of residual lifetime mixture models

Arijit Patra () and Chanchal Kundu ()
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Arijit Patra: Rajiv Gandhi Institute of Petroleum Technology
Chanchal Kundu: Rajiv Gandhi Institute of Petroleum Technology

Mathematical Methods of Operations Research, 2021, vol. 94, issue 1, No 5, 123-143

Abstract: Abstract In this article, we enhance the study of stochastic comparisons and ageing properties of residual lifetime mixture models. To this aim, first we perform stochastic comparisons of two different mixture models under likelihood ratio, hazard rate, mean residual life and variance residual life orders having different baseline distributions as well as two different mixing distributions. Then, we develop some sufficient conditions which lead to the stochastic comparisons of these mixture models based on reversed hazard rate, mean inactivity time and variance inactivity time orders. Furthermore, we show that increasing likelihood ratio, increasing failure rate, decreasing mean residual life, increasing variance residual life and decreasing variance residual life classes are preserved under the formation of the model. Few applications in reliability engineering are also investigated.

Keywords: Ageing class; Mixture model; Series system; Stochastic orders; Totally positive of order 2 functions; Primary 60H30; Secondary 60E15; 62N05 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00186-021-00750-0

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