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Lindley Power Series Distributions

Author

Listed:
  • Yuancheng Si

    (University of Manchester)

  • Saralees Nadarajah

    (University of Manchester)

Abstract

Gui et al. (2017) proposed the Lindley geometric distribution, derived its properties including estimation issues and illustrated a data application. We introduce a new family of distributions containing the Lindley geometric distribution as a particular case. The new family is shown to provide significantly better fits. We also point out errors in various properties derived by Gui et al. (2017).

Suggested Citation

  • Yuancheng Si & Saralees Nadarajah, 2020. "Lindley Power Series Distributions," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 82(1), pages 242-256, February.
    • Handle: RePEc:spr:sankha:v:82:y:2020:i:1:d:10.1007_s13171-018-0150-x
    DOI: 10.1007/s13171-018-0150-x
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    References listed on IDEAS

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    1. Rasool Roozegar & Saralees Nadarajah, 2017. "On a Generalized Lindley Distribution," Statistica, Department of Statistics, University of Bologna, vol. 77(2), pages 149-157.
    2. Vikas Kumar Sharma & Sanjay Kumar Singh & Umesh Singh & Faton Merovci, 2016. "The generalized inverse Lindley distribution: A new inverse statistical model for the study of upside-down bathtub data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(19), pages 5709-5729, October.
    3. Jodrá, P., 2010. "Computer generation of random variables with Lindley or Poisson–Lindley distribution via the Lambert W function," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(4), pages 851-859.
    4. Kus, Coskun, 2007. "A new lifetime distribution," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4497-4509, May.
    5. Jimmy Reyes & Osvaldo Venegas & Héctor W. Gómez, 2017. "Modified Slash Lindley Distribution," Journal of Probability and Statistics, Hindawi, vol. 2017, pages 1-9, February.
    6. Wenhao Gui & Huainian Zhang & Lei Guo, 2017. "The Complementary Lindley-Geometric Distribution and Its Application in Lifetime Analysis," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(2), pages 316-335, November.
    7. A. Asgharzadeh & S. Nadarajah & F. Sharafi, 2017. "Generalized inverse Lindley distribution with application to Danish fire insurance data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(10), pages 5001-5021, May.
    8. M. M. E. Abd El-Monsef, 2016. "A new Lindley distribution with location parameter," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(17), pages 5204-5219, September.
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