WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 20, 2021
Mixture of Lindley and Inverse Weibull Distributions: Properties and Estimation
Authors: , ,
Abstract: In this paper, we talk about a mixture of one-parameter Lindley and inverse Weibull distributions
(MLIWD). First, We introduce and discuss the MLIWD. Then, we study the main statistical properties of the
proposed mixture and provide some graphs of both the density and the associated hazard rate functions. After
that, we estimate the unknown parameters of the proposed mixture via two estimation methods, namely, the
generalized method of moments and maximum likelihood. In addition, we compare the estimation methods via
some simulation studies to determine the efficacy of the two estimation methods. Finally, we evaluate the
performance and behavior of the proposed mixture with different numerical examples and real data application
in survival analysis.
Search Articles
Pages: 134-143
DOI: 10.37394/23206.2021.20.14