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The Modified Lindley Distribution Through Convex Combination with Applications in Engineering

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  • Afaq Ahmad

    (Islamic University of Science and Technology)

  • A. A. Bhat

    (Islamic University of Science and Technology)

  • S. P. Ahmad

    (University of Kashmi)

  • Raheela Jan

    (University of Kashmi)

Abstract

This paper introduces a Modified Lindley distribution using a convex combination of exponential and gamma distribution. The fundamental properties of the proposed distribution such as the shapes of the distribution, moments, mean, variance, reliability, hazard rate, moment generating function, stochastic ordering and the distribution of order statistics have been derived. The proposed distribution is observed to be a heavy-tailed distribution and can also be used to model data with upside-down bathtub shape for its hazard rate function. The maximum likelihood estimators of the unknown parameters of the proposed distribution have been obtained. Two numerical examples are given to demonstrate the applicability of the proposed distribution and for the two real data sets, the proposed distribution is found to be superior in its ability to sufficiently model heavy-tailed data than many other models.

Suggested Citation

  • Afaq Ahmad & A. A. Bhat & S. P. Ahmad & Raheela Jan, 2025. "The Modified Lindley Distribution Through Convex Combination with Applications in Engineering," Annals of Data Science, Springer, vol. 12(5), pages 1463-1478, October.
    • Handle: RePEc:spr:aodasc:v:12:y:2025:i:5:d:10.1007_s40745-024-00569-6
    DOI: 10.1007/s40745-024-00569-6
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    References listed on IDEAS

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    1. M. E. Ghitany & D. K. Al-Mutairi, 2008. "Size-biased Poisson-Lindley distribution and its application," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 299-311.
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