On Estimation Procedures of Odd Lindley--Half Logistic Model, its Properties and Applications

Estimating distributional parameters is central to statistical modeling with real-world data. While some distributions admit simple estimators, for others, more advanced techniques are required. In this paper, we study the Odd Lindley Half-Logistic (OLiHL) distribution and derive explicit closed-form maximum likelihood estimators for its parameter. We derive the asymptotic confidence interval of the parameter of the distribution using Fisher information. We also consider the moment-generating function and the moments of the distribution.