A Modification of the Quasi Lindley Distribution  

作　　者：Ramajeyam Tharshan Pushpakanthie Wijekoon Ramajeyam Tharshan;Pushpakanthie Wijekoon(Postgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka;Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka;Department of Statistics and Computer Science, University of Peradeniya, Peradeniya, Sri Lanka)

机构地区：[1]Postgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka [2]Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka [3]Department of Statistics and Computer Science, University of Peradeniya, Peradeniya, Sri Lanka

出　　处：《Open Journal of Statistics》2021年第3期369-392,共24页统计学期刊（英文）

摘　　要：In this paper, we introduce a modification of the Quasi Lindley distribution which has various advantageous properties for the lifetime data. Several fundamental structural properties of the distribution are explored. Its density function can be left-skewed, symmetrical, and right-skewed shapes with various rages of tail-weights and dispersions. The failure rate function of the new dist</span><span style="font-family:Verdana;">ribution has the flexibility to be increasing, decreasing, constant, an</span><span style="font-family:Verdana;">d bathtub shapes. A simulation study is done to examine the performance of maximum likelihood and moment estimation methods in its unknown parameter estimations based on the asymptotic theory. The potentiality of the new distribution is illustrated by means of applications to the simulated and three real-world data sets.In this paper, we introduce a modification of the Quasi Lindley distribution which has various advantageous properties for the lifetime data. Several fundamental structural properties of the distribution are explored. Its density function can be left-skewed, symmetrical, and right-skewed shapes with various rages of tail-weights and dispersions. The failure rate function of the new dist</span><span style="font-family:Verdana;">ribution has the flexibility to be increasing, decreasing, constant, an</span><span style="font-family:Verdana;">d bathtub shapes. A simulation study is done to examine the performance of maximum likelihood and moment estimation methods in its unknown parameter estimations based on the asymptotic theory. The potentiality of the new distribution is illustrated by means of applications to the simulated and three real-world data sets.

关 键 词：Quasi Lindley Distribution Mixture Distributions Failure Rates Tail-Weights Parameter Estimation 

分 类 号：O17[理学—数学]