Transmuted Linear Exponential Distribution: A New Generalization of the Linear Exponential Distribution

Abstract

AbstractIn this article, a transmuted linear exponential distribution is developed that generalizes the linear exponential distribution with an additional parameter using the quadratic rank transmutation map which was studied by Shaw et al. Some statistical properties of the proposed distribution such as moments, quantiles, and the failure rate function are investigated. The maximum likelihood estimators of unknown parameters are also discussed and a real data analysis is carried out to illustrate the superiority of the proposed distribution.Keywords: Hazard rate functionMaximum likelihood estimationTransmuted linear exponential distribution.Mathematics Subject Classification: 62N01. AcknowledgmentsThe authors appreciate sincerely the editors' and reviewer' valuable comments and suggestions on our manuscript, which have helped us improve the presentation of the article essentially. The work was partially supported by National Natural Science Foundation of China (No. 11271368), Science Research Foundation of Renmin University of China (12XNH161), Major Project of Humanities Social Science Foundation of Ministry of Education (No. 08JJD910247), Key Project of Chinese Ministry of Education (No. 108120), Beijing Planning Office of Philosophy and Social Science (No. 12JGB051), Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China (No. 10XNL018), (No. 10XNK025), and China Statistical Research Project (No. 2011LZ031).