The odd log- logistic Power Inverse Lindley distribution: Model, Properties and Applications | ||||
| المجلة العلمية للدراسات والبحوث المالية والتجارية | ||||
| Article 35, Volume 4, Issue 1, January 2023, Page 1029-1058 PDF (1.01 MB) | ||||
| Document Type: المقالة الأصلية | ||||
| DOI: 10.21608/cfdj.2023.258079 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| محمود عبد المنعم التحيوى1; محمد عبد الستار حموده2 | ||||
| 1کليه السياسه والاقتصاد - جامعه بنى سويف | ||||
| 2قسم الاساليب الکميه- کليه التجاره- جامعه اسوان | ||||
| Abstract | ||||
| In this article, we introduce a new three-parameter odd log-logistic power inverse Lindley distribution and discuss some of its properties. These include the shapes of the density and hazard rate functions, mixture representation, the moments, the quantile function, and order statistics. Maximum likelihood estimation of the parameters and their estimated asymptotic standard errors are derived. Three algorithms are proposed for generating random data from the proposed distribution. A simulation study is carried out to examine the bias and root mean square error of the maximum likelihood estimators of the parameters. An application of the model to three real data sets is presented finally and compared with the fit attained by some other well-known two and three-parameter distributions for illustrative purposes. It is observed that the proposed model has some advantages in analyzing lifetime data as compared to other popular models in the sense that it exhibits varying shapes and shows more flexibility than many currently available distributions. | ||||
| Keywords | ||||
| Lambert function; maximum likelihood estimation; order statistics; power inverse Lindley distribution; Stochastic ordering | ||||
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