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 Articles 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/. Title A name given to the resource On an extension of the two-parameter Lindley distribution Subject The topic of the resource Exponential distribution; Generalized family; Lindley distribution; Marshall-Olkin extended distribution; Maximum likelihood estimation Description An account of the resource AIM: Lindley distribution has been widely studied in statistical literature because it accommodates several interesting properties. In lifetime data analysis contexts, Lindley distribution gives a good description over exponential distribution. It has been used for analysing copious real data sets, specifically in applications of modeling stress-strength reliability. This paper proposes a new generalized two-parameter Lindley distribution and provides a comprehensive description of its statistical properties such as order statistics, limiting distributions of order statistics, Information theory measures, etc. METHODS: We study shapes of the probability density and hazard rate functions, quantiles, moments, moment generating function, order statistic, limiting distributions of order statistics, information theory measures, and autoregressive models are among the key characteristics and properties discussed. The two-parameter Lindley distribution is then subjected to statistical analysis. The paper uses methods of maximum likelihood to estimate the parameters of the proposed distribution. The usefulness of the proposed distribution for modeling data is illustrated using a real data set by comparison with other generalizations of the exponential and Lindley distributions and is depicted graphically. RESULTS/FINDINGS: This paper presents relevant characteristics of the proposed distribution and applications. Based on this study, we found that the proposed model can be used quite effectively to analyzing lifetime data. CONCLUSIONS: In this article, we proffered a new customized Lindley distribution. The proposed distribution enfolds exponential and Lindley distributions as sub-models. Some properties of this distribution such as quantile function, moments, moment generating function, distributions of order statistics, limiting distributions of order statistics, entropy, and autoregressive time series models are studied. This distribution is found to be the most appropriate model to fit the carbon fibers data compared to other models. Consequently, we propose the MOTL distribution for sketching inscrutable lifetime data sets. 2023 DSR Publishers/The University of Jordan. Creator An entity primarily responsible for making the resource Gillariose J.; Tomy L. Source A related resource from which the described resource is derived Reliability: Theory and Applications, Vol-18, No. 1, pp. 385-402. Publisher An entity responsible for making the resource available Gnedenko Forum Date A point or period of time associated with an event in the lifecycle of the resource 2023-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.24412/1932-2321-2023-172-385-402" target="_blank" rel="noreferrer noopener">https://doi.org/10.24412/1932-2321-2023-172-385-402</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85158069331&amp;doi=10.24412%2F1932-2321-2023-172-385-402&amp;partnerID=40&amp;md5=e950e094104acf2d81e6c5a66cd86400" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85158069331&amp;doi=10.24412%2f1932-2321-2023-172-385-402&amp;partnerID=40&amp;md5=e950e094104acf2d81e6c5a66cd86400</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 19322321 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Gillariose J., Department of Statistics, CHRIST (Deemed to Be University), Karnataka, Bangalore, 560029, India; Tomy L., Department of Statistics, Deva Matha College, Kerala, Kuravilangad, 686633, India