A quantile-based study on ageing intensity function

ABSTRACT

Jiang, Ji, and Xiao (2003) has introduced a quantitative measure known as the ageing intensity function for evaluating the ageing properties of a component/system. In recent years, there has been a great interest on the study of quantile function, an equivalent alternative to the distribution function approach. Unlike the distribution function approach, the quantile method possess some unique properties (see Gilchrist 2000, Nair, Sankaran, and Balakrishnan 2013). Motivated with this, in the present paper we introduce a quantile-based ageing intensity function and study its various ageing properties. We also study some stochastic comparison of random variables based on the proposed measure.

KEYWORDS:

• Ageing intensity function
• Ageing properties
• Quantile function
• Reliability measures
• Stochastic orders.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62N05
• 60E05

Acknowledgements

The first author wish to thank the support of the University Grants Commission, Government of India, under the Special Assistance Programme. The authors wish to thank the referee and the editor for their constructive comments.