The New Extended of Two-Parameters Lindley Distribution

This research introduces a probability distribution by adding a parameter to the Lindley distribution, referred to as the new extended two-parameters Lindley (NE-2PL) distribution. The NE-2PL distribution is more general and flexible than the original Lindley distribution, extending its properties. The parameters of the NE-2PL distribution are estimated using the maximum likelihood estimation method. The NE-2PL distribution was successfully applied to model the distribution of carbon fiber strength data, demonstrating a better fit than the Lindley distribution, the two-parameters Lindley distribution, and the new two-parameters Lindley distribution.