@article{Alizadeh_Ranjbar_Eftekharian_Kharazmi_2021, title={An Extended Lindley Distribution with Application to Lifetime Data with Bayesian Estimation}, volume={9}, url={http://iapress.org/index.php/soic/article/view/1179}, DOI={10.19139/soic-2310-5070-1179}, abstractNote={<p>A four-parameter extended of Lindley distribution with application to lifetime data is introduced.<br>It is called extended Marshal-Olkin generalized Lindley distribution. Some mathematical properties<br>such as moments, skewness, kurtosis and extreme value are derived. These properties with plots<br>of density and hazard functions are shown the high flexibility of the mentioned distribution. The<br>maximum likelihood estimations of proposed distribution parameters with asymptotic properties of<br>these estimations are examined. A simulation study to investigate the performance of maximum<br>likelihood estimations is presented. Moreover, the performance and flexibility of the new distribution<br>are investigated by comparing with several generalizations of Lindley distribution through two real<br>data sets. Finally, Bayesian analysis and efficiency of Gibbs sampling are provided based on the two<br>real data sets.</p&gt;}, number={4}, journal={Statistics, Optimization & Information Computing}, author={Alizadeh, Morad and Ranjbar, Vahid and Eftekharian, Abbas and Kharazmi, Omid}, year={2021}, month={Apr.}, pages={849-870} }