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Transmuted Kumaraswamy Quasi Lindley Distribution with Applications

Author

Listed:
  • M. Elgarhy

    (Jeddah University
    Cairo University)

  • I. Elbatal

    (Islamic University)

  • Muhammad Ahsan ul Haq

    (University of the Punjab)

  • Amal S. Hassan

    (Cairo University)

Abstract

The Lindley distribution is one of the widely used models for studying most of reliability modeling. Besides, several of researchers have motivated new classes of distributions based on modifications of the quasi Lindley distribution. In this article, a new version of generalized distributions named as the transmuted Kumaraswamy quasi Lindley (TKQL) is introduced. Various statistical properties of the TKQL distribution are provided. The rth moment of the TKQL distribution and its moment generating function are explored. Moreover, estimation of the model parameters is discussed via the method of maximum likelihood. Applications to real data are performed to clarify the flexibility of the TKQL distribution in comparison with some sub-models.

Suggested Citation

  • M. Elgarhy & I. Elbatal & Muhammad Ahsan ul Haq & Amal S. Hassan, 2018. "Transmuted Kumaraswamy Quasi Lindley Distribution with Applications," Annals of Data Science, Springer, vol. 5(4), pages 565-581, December.
    • Handle: RePEc:spr:aodasc:v:5:y:2018:i:4:d:10.1007_s40745-018-0153-4
    DOI: 10.1007/s40745-018-0153-4
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    References listed on IDEAS

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    1. David Hinkley, 1977. "On Quick Choice of Power Transformation," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(1), pages 67-69, March.
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