Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Faculty Publications Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Chesneau, Christophe; Tomy, Lishamol; Gillariose, Jiju Title A name given to the resource On a Mixture of the Lindley and Modified Lindley Distributions: Properties and Estimation Date A point or period of time associated with an event in the lifecycle of the resource 01-01-2025 Source A related resource from which the described resource is derived Jordan Journal of Mathematics and Statistics;Volume;18;Issue;3;pp.473-486 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.47013/18.3.13" target="_blank" rel="noreferrer noopener">https://doi.org/10.47013/18.3.13</a> <br /><br /><a href="https://www.scopus.com/pages/publications/105030515803?origin=resultslist" target="_blank" rel="noreferrer noopener">https://www.scopus.com/pages/publications/105030515803?origin=resultslist</a> Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Chesneau C., Universitde Caen, LMNO, Campus II, Science 3, Caen, 14032, France; Tomy L., Department of Statistics, Deva Matha College, Kerala, Kuravilangad, 686633, India; Gillariose J., Department of Statistics and Data Science, Christ University, Karnataka, Bangalore, 560029, India Description An account of the resource In this article, we investigate a novel three-parameter lifetime distribution constructed from a mixture of the original Lindley and modified Lindley distributions. The concept behind this construction is to combine the contrasting properties of these two well-known distributions to provide a new statistical modeling option for lifetime data analysis. In particular, it provides a natural alternative to the three-parameter, two-component mixture of the Lindley distribution, which has attracted attention in the recent statistical literature. We investigate its main properties from both a theoretical and practical point of view. The shapes of the corresponding probability density and hazard rate functions and the formulas for the moments, moment generating functions and characteristic functions are discussed. The distribution is then subjected to statistical analysis, considering it as a semi-parametric model. The maximum likelihood approach is used to estimate the parameters. In a simulation analysis, the numerical behavior of the bias and the mean square error of the obtained estimates are studied. The new model is tested on three data sets and the results show that it has a better fit behavior than its main competitor, the three-parameter two-component mixture of the Lindley model. 2025 YU Subject The topic of the resource Lindley distributions; maximum likelihood estimates; mixture distribution; modified Lindley distribution; moments Publisher An entity responsible for making the resource available Yarmouk University Relation A related resource ISSN: 20757905; Language A language of the resource English Type The nature or genre of the resource Article Rights Information about rights held in and over the resource Restricted Access; Hardcopy may be available in the library Format The file format, physical medium, or dimensions of the resource online