Bivariate residual entropy function: A quantile approach

N. Unnikrishnan Nair, Silpa Subhash, S. M. Sunoj and G. Rajesh

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 24, 8611-8635

Abstract: The study of Shannon differential entropy function and its associated measures using quantile function are of recent interest among researchers. However, a bivariate extension of the same have not been considered so far. Recently, a new method of deriving bivariate quantile function and their properties in the context of reliability modeling is available in literature. Motivated by this, the present paper introduces and obtain some properties of quantile-based entropy function in the bivariate case. We also examine various properties of bivariate quantile entropy function for residual random variables. Finally, we illustrate the bivariate quantile-based residual entropy function using a suitable lifetime data.

Date: 2023
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DOI: 10.1080/03610926.2022.2067334

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