The Lindley-Poisson distribution in lifetime analysis and its properties

Wenhao Gui; Shangli Zhang; Xinman Lu

Research Article

Year 2014, Volume: 43 Issue: 6, 1063 - 1077, 01.12.2014

Wenhao Gui , Shangli Zhang Xinman Lu

Abstract

References

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The Lindley-Poisson distribution in lifetime analysis and its properties

Year 2014, Volume: 43 Issue: 6, 1063 - 1077, 01.12.2014

Wenhao Gui , Shangli Zhang Xinman Lu

Abstract

In this paper, we introduce a new compounding distribution, named the
Lindley-Poisson distribution. We investigate its characterization and
statistical properties. The maximum likelihood inference using EM algorithm is developed. Asymptotic properties of the MLEs are discussed
and simulation studies are performed to assess the performance of parameter estimation. We illustrate the proposed model with two real
applications and it shows that the new distribution is appropriate for
lifetime analyses.

Keywords

Lindley distribution , Poisson distribution , Hazard function , Maximum likelihood estimation , EM algorithm , Fisher information matrix

References

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There are 1 citations in total.

Details

Primary Language	English
Journal Section	Research Article
Authors	Wenhao Gui Shangli Zhang This is me Xinman Lu This is me
Publication Date	December 1, 2014
Published in Issue	Year 2014 Volume: 43 Issue: 6

Cite

APA	Gui, W., Zhang, S., & Lu, X. (2014). The Lindley-Poisson distribution in lifetime analysis and its properties. Hacettepe Journal of Mathematics and Statistics, 43(6), 1063-1077. https://izlik.org/JA68JD49HK
AMA	1.Gui W, Zhang S, Lu X. The Lindley-Poisson distribution in lifetime analysis and its properties. Hacettepe Journal of Mathematics and Statistics. 2014;43(6):1063-1077. https://izlik.org/JA68JD49HK
Chicago	Gui, Wenhao, Shangli Zhang, and Xinman Lu. 2014. “The Lindley-Poisson Distribution in Lifetime Analysis and Its Properties”. Hacettepe Journal of Mathematics and Statistics 43 (6): 1063-77. https://izlik.org/JA68JD49HK.
EndNote	Gui W, Zhang S, Lu X (December 1, 2014) The Lindley-Poisson distribution in lifetime analysis and its properties. Hacettepe Journal of Mathematics and Statistics 43 6 1063–1077.
IEEE	[1]W. Gui, S. Zhang, and X. Lu, “The Lindley-Poisson distribution in lifetime analysis and its properties”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 6, pp. 1063–1077, Dec. 2014, [Online]. Available: https://izlik.org/JA68JD49HK
ISNAD	Gui, Wenhao - Zhang, Shangli - Lu, Xinman. “The Lindley-Poisson Distribution in Lifetime Analysis and Its Properties”. Hacettepe Journal of Mathematics and Statistics 43/6 (December 1, 2014): 1063-1077. https://izlik.org/JA68JD49HK.
JAMA	1.Gui W, Zhang S, Lu X. The Lindley-Poisson distribution in lifetime analysis and its properties. Hacettepe Journal of Mathematics and Statistics. 2014;43:1063–1077.
MLA	Gui, Wenhao, et al. “The Lindley-Poisson Distribution in Lifetime Analysis and Its Properties”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 6, Dec. 2014, pp. 1063-77, https://izlik.org/JA68JD49HK.
Vancouver	1.Gui W, Zhang S, Lu X. The Lindley-Poisson distribution in lifetime analysis and its properties. Hacettepe Journal of Mathematics and Statistics [Internet]. 2014 Dec. 1;43(6):1063-77. Available from: https://izlik.org/JA68JD49HK