Bivariate Quantile Functions and their Applications to Reliability Modelling

Balakrishnapillai Vineshkumar () and Narayanan Unnikrishnan Nair
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Balakrishnapillai Vineshkumar: Department of Statistics, Government Arts College, Thiruvananthapuram
Narayanan Unnikrishnan Nair: Department of Statistics, Cochin University of Science and Technology

Statistica, 2019, vol. 79, issue 1, 3-21

Abstract: In this paper we propose a new definition of bivariate quantile function suited for reliability modelling and illustrate its applications. The bivariate hazard and mean residual quantile functions are defined and their properties are studied. Examples of generating new quantile functions and application of the results to model data are provided.

Keywords: Bivariate quantile functions; Hazard and mean residual quantile functions; Bivariate linear hazard (mean residual) quantile function distribution (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:bot:rivsta:v:79:y:2019:i:1:p:3-21

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