Power Lindley geometric distribution: a new model for failure analysis in business
الشهري, سعيد القرني وفاء . 2020
In this paper, a new flexible lifetime distribution is introduced by compounding the power Lindley and geometric distributions, called power Lindley geometric distribution (PLG). The proposed model can be used for business lifetime analysis such as investments failure, waiting time for services, delivery time, etc. This new distribution is an extension of Lindley geometric distribution [23]. Several of its properties, such as density, survival function, failure rate function, survival function, limiting behavior, quantile function, moments, and distribution of order statistics are studied. The method of maximum likelihood estimation (mle) will be used to estimate the model parameters of this new distribution. Asymptotic properties of the mle and simulation are introduced to address the performance of parameters estimate. At the end, we will apply the model on real data to show the flexibility and potential of the new distribution.
This paper proposes the new three-parameter type I half-logistic inverse Weibull (TIHLIW) distribution which generalizes the inverse Weibull model. The density function of the TIHLIW can be…
In this paper, a new flexible lifetime distribution is introduced by compounding the power Lindley and geometric distributions, called power Lindley geometric distribution (PLG). The proposed…
In this paper, we introduce a new generalization of a class of inverse Lindley distributions called the generalized inverse Lindley power series (GILPS) distribution. This class of distributions…