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The Slash Lindley-Weibull Distribution

Author

Listed:
  • Jimmy Reyes

    (Universidad de Antofagasta)

  • Yuri A. Iriarte

    (Universidad de Antofagasta)

  • Pedro Jodrá

    (Universidad de Zaragoza)

  • Héctor W. Gómez

    (Universidad de Antofagasta)

Abstract

In this paper, a new class of slash distribution is introduced. The distribution is obtained as a quotient of two independent random variables, specifically, a Lindley-Weibull distribution divided by a power of a uniform distribution. The new model can be considered as an extension of the Lindley-Weibull law more flexible in terms of the kurtosis of the distribution. Some statistical properties are studied and the parameter estimation problem is carried out by the maximum likelihood method. The performance of this method is assessed via a Monte Carlo simulation study. A real data application illustrates the usefulness of the proposed distribution to model data with excess kurtosis.

Suggested Citation

  • Jimmy Reyes & Yuri A. Iriarte & Pedro Jodrá & Héctor W. Gómez, 2019. "The Slash Lindley-Weibull Distribution," Methodology and Computing in Applied Probability, Springer, vol. 21(1), pages 235-251, March.
    • Handle: RePEc:spr:metcap:v:21:y:2019:i:1:d:10.1007_s11009-018-9651-2
    DOI: 10.1007/s11009-018-9651-2
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    References listed on IDEAS

    as
    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.
    2. Neveka Olmos & Héctor Varela & Heleno Bolfarine & Héctor Gómez, 2014. "An extension of the generalized half-normal distribution," Statistical Papers, Springer, vol. 55(4), pages 967-981, November.
    3. Gómez, Héctor W. & Quintana, Fernando A. & Torres, Francisco J., 2007. "A new family of slash-distributions with elliptical contours," Statistics & Probability Letters, Elsevier, vol. 77(7), pages 717-725, April.
    4. Deepesh Bhati & Mohd. Malik & H. Vaman, 2015. "Lindley–Exponential distribution: properties and applications," METRON, Springer;Sapienza Università di Roma, vol. 73(3), pages 335-357, December.
    5. Ghitany, M.E. & Atieh, B. & Nadarajah, S., 2008. "Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 493-506.
    6. Neveka Olmos & Héctor Varela & Héctor Gómez & Heleno Bolfarine, 2012. "An extension of the half-normal distribution," Statistical Papers, Springer, vol. 53(4), pages 875-886, November.
    7. Ghitany, M.E. & Al-Mutairi, D.K. & Nadarajah, S., 2008. "Zero-truncated Poisson–Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 279-287.
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