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Bivariate Quantile Functions and their Applications to Reliability Modelling

Author

Listed:
  • Balakrishnapillai Vineshkumar

    (Department of Statistics, Government Arts College, Thiruvananthapuram)

  • Narayanan Unnikrishnan Nair

    (Department of Statistics, Cochin University of Science and Technology)

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.

Suggested Citation

  • Balakrishnapillai Vineshkumar & Narayanan Unnikrishnan Nair, 2019. "Bivariate Quantile Functions and their Applications to Reliability Modelling," Statistica, Department of Statistics, University of Bologna, vol. 79(1), pages 3-21.
    • Handle: RePEc:bot:rivsta:v:79:y:2019:i:1:p:3-21
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    Cited by:

    1. Yogendra P. Chaubey & Isha Dewan & Jun Li, 2021. "On Some Smooth Estimators of the Quantile Function for a Stationary Associated Process," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(1), pages 114-139, May.
    2. Perepolkin, Dmytro & Lindsröm, Erik & Sahlin, Ullrika, 2023. "Quantile-parameterized distributions for expert knowledge elicitation," OSF Preprints tq3an, Center for Open Science.

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