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The exponentiated unit Lindley distribution: properties and applications

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Abstract

Mazucheli et al. (J Appl Stat 46(4):700–714, 2019) introduced unit Lindley distribution by transforming Lindley (J Roy Stat Soc Ser B Stat Methodol 20(1):102–107, 1958) distribution for modelling proportion data. In this paper, we consider an exponential version of unit Lindley distribution. Various statistical and structural properties of the new distribution are discussed such as moments, hazard rate function, inequality measures, entropy etc. Different estimation methods are used to estimate the parameters of the model and their performances are demonstrated by Monte Carlo simulation. Finally the dominance of proposed distribution is embellished through real life data sets by comparing with some other unit distributions available in literature.

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Acknowledgements

The authors express their gratitude to the learned referee for numerous valuable comments and suggestions, which lead the way to improvements and thus acquire current version of the paper.

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Authors and Affiliations

  1. Department of Statistics, Cochin University of Science and Technology, Cochin, Kerala, 682 022, India

    M. R. Irshad & Veena D’cruz

  2. Department of Statistics, Government College for Women, Trivandrum, Kerala, 695 014, India

    R. Maya

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  1. M. R. Irshad
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  2. Veena D’cruz
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  3. R. Maya
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Correspondence to R. Maya.

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Irshad, M.R., D’cruz, V. & Maya, R. The exponentiated unit Lindley distribution: properties and applications. Ricerche mat 73, 1121–1143 (2024). https://doi.org/10.1007/s11587-021-00663-4

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  • DOI: https://doi.org/10.1007/s11587-021-00663-4

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