Power Lindley distribution and associated inference

A new two-parameter power Lindley distribution is introduced and its properties are discussed. These include the shapes of the density and hazard rate functions, the moments, skewness and kurtosis measures, the quantile function, and the limiting distributions of order statistics. Maximum likelihood...

Full description

Saved in:
Bibliographic Details
Published in:Computational statistics & data analysis 2013-08, Vol.64, p.20-33
Main Authors: Ghitany, M.E., Al-Mutairi, D.K., Balakrishnan, N., Al-Enezi, L.J.
Format: Article
Language:English
Subjects:
Algorithms
Asymptotic properties
Computer simulation
Density
Inference
Lambert function
Mathematical analysis
Mathematical models
Maximum likelihood estimator
Power Lindley distribution
Simulation algorithms
Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A new two-parameter power Lindley distribution is introduced and its properties are discussed. These include the shapes of the density and hazard rate functions, the moments, skewness and kurtosis measures, the quantile function, and the limiting distributions of order statistics. Maximum likelihood estimation of the parameters and their estimated asymptotic standard errors are derived. Three algorithms are proposed for generating random data from the proposed distribution. A simulation study is carried out to examine the bias and mean square error of the maximum likelihood estimators of the parameters as well as the coverage probability and the width of the confidence interval for each parameter. An application of the model to a real data set is presented finally and compared with the fit attained by some other well-known two-parameter distributions.
ISSN:0167-9473
1872-7352
DOI:10.1016/j.csda.2013.02.026