Research Article

The Lindley-Poisson distribution in lifetime analysis and its properties

Volume: 43 Number: 6 December 1, 2014
EN

The Lindley-Poisson distribution in lifetime analysis and its properties

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

References

  1. . . .

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Wenhao Gui *
United States

Shangli Zhang This is me
China

Xinman Lu This is me
China

Publication Date

December 1, 2014

Submission Date

August 8, 2013

Acceptance Date

January 11, 2014

Published in Issue

Year 2014 Volume: 43 Number: 6

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.Wenhao Gui, Shangli Zhang, Xinman Lu. 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