Quantile Based Relevation Transform and its Properties


  • Dileep Kumar Maladan Cochin University of Science and Technology
  • Paduthol Godan Sankaran Cochin University of Science and Technology
  • Narayanan Unnikrishnan Nair Cochin University of Science and Technology




Relevation transform, Quantile function, Hazard quantile function, Mean residual quantile function, Proportional hazard model, Equilibrium distribution


Relevation transform introduced by Krakowski (1973) is extensively studied in the literature. In this paper, we present a quantile based definition of the relevation transform and study its properties in the context of lifetime data analysis. We give important special cases of relevation transform in the context of proportional hazards and equilibrium models in terms of quantile function.


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How to Cite

Maladan, D. K., Sankaran, P. G., & Nair, N. U. (2018). Quantile Based Relevation Transform and its Properties. Statistica, 78(3), 197–214. https://doi.org/10.6092/issn.1973-2201/8211