- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 71 Issue: 1
- Modified-Lindley distribution and its applications to the real data
Modified-Lindley distribution and its applications to the real data
Authors : Coşkun Kuş, Mustafa Çağatay Korkmaz, Ismail Kinaci, Kadir Karakaya, Yunus Akdoğan
Pages : 252-272
Doi:10.31801/cfsuasmas.744141
View : 16 | Download : 5
Publication Date : 2022-03-30
Article Type : Research
Abstract :In this paper, a new three-parameter lifetime distribution is proposed by mixing modified Weibull and generalized gamma distributions. The point estimation on the distribution parameters are discussed through several estimators. The interval estimation is also studied with two methods based on asymptotic normality and likelihood ratio. A Monte Carlo simulation study is performed to evaluate the biases and mean square errors behaviors of point estimates for a different sample of size. A simulation study is also conducted to investigate the coverage probabilities of confidence intervals. The distribution modeling analyses are provided based on several real data sets to demonstrate the fitting ability of the introduced distribution.Keywords : Confidence interval, data analysis, lifetime distribution, Lindley distribution, point estimates