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Some reliability properties of extropy for residual and past lifetime random variables
Krishnan Aswathy S.,Sunoj S. M.,Unnikrishnan Nair N. 한국통계학회 2020 Journal of the Korean Statistical Society Vol.49 No.2
In the present paper, we study the residual extropy using distribution function and quantile function approaches. We also investigate extropy in past lifetime in both approaches. Some characterizations and ageing properties of these extropy measures are proposed. Different stochastic orders based on the residual and past lifetime extropy are also presented.
Quantile based reliability aspects of partial moments
P. G. Sankaran,N. Unnikrishnan Nair,S.M. Sunoj 한국통계학회 2013 Journal of the Korean Statistical Society Vol.42 No.3
Partial moments are extensively used in literature for modeling and analysis of lifetime data. In this paper, we study properties of partial moments using quantile functions. The quantile based measure determines the underlying distribution uniquely. We then characterize certain lifetime quantile function models. The proposed measure provides alternate definitions for ageing criteria. Finally, we explore the utility of the measure to compare the characteristics of two lifetime distributions.