A New Extension of Quasi Lindley Distribution: Properties and Applications

In this paper, we introduced and studied the statistical properties of a new distribution called the Marshall-Olkin extended quasi Lindley distribution. Specifically, we derived the crude moment, moment generating function, quantile function, and distributions of order statisticsbased on the distribution. The maximum likelihood point estimation method was used to estimate the parameters of the newly introduced model. Some AR minfication processes were discussed. We illustrated the applicability of the distribution using a real dataset.Keywords: Marshal-Olkin family of distributions; maximum likelihood estimates; minification processes; quasi Lindley distribution; quantile function.

A Saddlepoint Approximation Method for Uncertainty Analysis

The availability of computationally efficient and accurate methods for probabilistic computation is crucial to the success of applications of probabilistic design using complex engineering simulation models. To address this need, a Saddlepoint Approximation method for probabilistic engineering analysis is introduced. A general performance function is approximated at the Most Likelihood Point with either linear or quadratic forms and the Saddlepoint Approximation is then applied to evaluate the probability associated with the performance. The proposed approach provides highly accurate probabilistic results while maintaining minimum computational requirement. Two examples are presented to demonstrate the effectiveness of the proposed method.