Truncated two-parameter Lindley distribution and its application

Abstract

In this paper, the truncated two-parameter Lindley (T-TPL) distribution is proposed, which is classified as doubly, left and right truncated distributions. Some statistical properties, i.e., the moments, and functions of survival, hazard and quantile are also discussed. The maximum likelihood estimators are constructed for estimating the unknown parameters of the T-TPL distribution. Moreover, the distributions have been fitted with some real data to illustrate the efficiency of the T-TPL distribution when it compared to other distributions (i.e., exponential, Lindley, two-parameter Lindley, and truncated Lindley distributions). The results have shown that the T-TPL distribution gives a reasonable better fit to the real data about bladder cancer patients and the flood discharge rates than other distributions.