The Length-Biased Weighted Lindley Distribution with Applications
Yupapin AtikankulDepartment of Statistics, Kasetsart University, 10903, Bangkok, ThailandAmpai ThongteeraparpDepartment of Statistics, Kasetsart University, 10903, Bangkok, ThailandWinai BodhisuwanDepartment of Statistics, Kasetsart University, 10903, Bangkok, ThailandAndrei VolodinDepartment of Mathematics and Statistics, University of Regina, S4S 0A2, Regina, Saskatchewan, Canada
2020en
ABI
Abstract
In this paper, we propose a new length-biased distribution, which is a special case of weighted distributions. We derive some mathematical properties of the proposed distribution, including moment generating function, characteristic function and moments, and discuss parameter estimation by the method of moments and maximum likelihood estimation. We assess estimators via simulation, and show the potential of the proposed distribution by fitting it with some real-life data sets.
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