The Weighted Power Quasi Lindley Distribution with Properties and Applications of Life-time Data

Abstract

In this paper, we have executed a new model of Power Quasi Lindley distribution known as Weighted Power Quasi Lindley distribution by introducing the weighted technique. We have also executed its various mathematical and statistical properties like order statistics, likelihood Ratio test, moments, harmonic mean, Income distribution curves, entropy and reliability measures. We also have discussed its parameter estimation by applying the method of maximum likelihood estimator and also we have obtained its Fisher’s information matrix. Finally, the applicability and potentiality of the new distribution in handling data has been investigated by executing the two real life data sets.