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:: Volume 10, Issue 1 (8-2016) ::
JSS 2016, 10(1): 139-158 Back to browse issues page
Lindley-Logarithmic Distribution: Model and Properties
Eisa Mahmoudi * , Somayeh Abolhosseini
Abstract:   (13042 Views)

In this paper we propose a new two-parameters distribution, which is an extension of the Lindley distribution with increasing and bathtub-shaped failure rate, called as the Lindley-logarithmic (LL) distribution. The new distribution is obtained by compounding Lindley (L) and Logarithmic distributions. We obtain several properties of the new distribution such as its probability density function, its failure rate functions, quantiles and moments. The maximum likelihood estimation procedure via a EM-algorithm is presented in this paper. At the end, in order to show the flexibility and potentiality of this new class, some series of real data is used to fit.

Keywords: EM-algorithm, Maximum likelihood estimator, Survival function, Hazard rate function, Lindley distribution, Logarithmic distribution, Monte Carlo simulation
Full-Text [PDF 618 kb]   (2361 Downloads)    
Type of Study: Research | Subject: Reliability
Received: 2014/11/9 | Accepted: 2015/12/20 | Published: 2016/07/25
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Mahmoudi E, Abolhosseini S. Lindley-Logarithmic Distribution: Model and Properties. JSS 2016; 10 (1) :139-158
URL: http://jss.irstat.ir/article-1-333-en.html


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Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 10, Issue 1 (8-2016) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences

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