The Lindley-Poisson distribution in lifetime analysis and its properties

Yıl 2014, Cilt: 43 Sayı: 6, 1063 - 1077, 01.12.2014

Wenhao Gui Shangli Zhang Xinman Lu

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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