Journal
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B
Volume 34, Issue 2, Pages 127-148Publisher
ZHEJIANG UNIV, EDITORIAL COMMITTEE APPLIED MATHEMATICS
DOI: 10.1007/s11766-019-3515-6
Keywords
Anderson-Darling test statistic; Exponentiated generalized class of distributions; Lambert function; Maximum likelihood method; Power Lindley distribution
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In this paper, we introduce a new extension of the power Lindley distribution, called the exponentiated generalized power Lindley distribution. Several mathematical properties of the new model such as the shapes of the density and hazard rate functions, the quantile function, moments, mean deviations, Bonferroni and Lorenz curves and order statistics are derived. Moreover, we discuss the parameter estimation of the new distribution using the maximum likelihood and diagonally weighted least squares methods. A simulation study is performed to evaluate the estimators. We use two real data sets to illustrate the applicability of the new model. Empirical findings show that the proposed model provides better fits than some other well-known extensions of Lindley distributions.
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