Truncated Three-Parameter Lindley Distribution for Lifetime Data

Abstract

In this research, a three-parameter Lindley distribution is improved by truncating from both left and right sides. The truncated three-parameter Lindley distribution is proposed about the probability density function, cumulative distribution function, survival function, hazard function, moments and parameter estimation. The developed distribution and the baseline distribution are applied 4 real lifetime datasets and are compared the model performances. The numerical experiments reveal that the truncated three-parameter Lindley distribution gives the lowest values of the negative log-likelihood (-Log(L)) and the Akaike information criterion (AIC). Moreover, the developed distribution provides a large p-values in Kolmogorov-Smirnov test (K-S test).