The Length-Biased Weighted Lindley Distribution with Applications

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 metho...

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Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 41; no. 3; pp. 308 - 319
Main Authors Atikankul, Yupapin, Thongteeraparp, Ampai, Bodhisuwan, Winai, Volodin, A.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.03.2020
Springer Nature B.V
Subjects
Algebra
Analysis
Characteristic functions
Computer simulation
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Maximum likelihood estimation
Maximum likelihood estimators
Method of moments
Parameter estimation
Probability Theory and Stochastic Processes
length-biased distribution
parameter estimation
new weighted Lindley distribution
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Summary: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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S199508022003004X