1Associate Professor, Trichandra Multiple Campus, Saraswoti Sadan, Kathmandu, Nepal
2Professor (Dr.), Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur, India
* Author correspondence: Vijay Kumar, Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur, India, vijay.mathstat@ddugu.ac.in
Online published on 4 January, 2021.
In this study, we have established a new distribution by using the Lindley generating family with baseline distribution as Chen distribution called Lindley-Chen (LC) distribution. We have illustrated some statistical properties of the model including the shapes of the probability density function (PDF), cumulative density function (CDF) and hazard rate function (HRF), quantile function also the skewness, kurtosis are discussed. We have employed three well-known estimation methods to estimate the model parameters namely the maximum likelihood estimation (MLE), least-square estimation (LSE), and Cramer-Von-Mises (CVM) methods. We discuss maximum likelihood estimation of the distribution parameters and asymptotic confidence interval based on maximum likelihood. All the computations are performed in R software. The application of the model to a real data set is investigated and finally, we compared the goodness of fit attained by observed model via different estimation methods and we have compared with some other lifetime models.
Lindley distribution, Chen distribution, Maximum likelihood estimation, Hazard function
