The Truncated Lindley Distribution: Inference and Application

This paper introduced the truncated versions of the Lindley distribution and studied the characteristics of the proposed distributions with showing the monotonicity of the density and hazard functions. The statistical proprieties such as moments, quantile function and order statistics are also discussed. The maximum likelihood estimators are constructed for estimating the unknown parameters of the upper, lower and double truncated Lindley distributions. A set of real data containing the strengths of the glass of aircraft window, is considered to show the applicability of the truncated Lindley distributions