|
|
 |
| |
|
|
|
Mixture of Lindley and Weibull Distributions: Properties and Estimation |
|
|
|
PP: 301-313 |
|
|
|
doi:10.18576/jsap/100203
|
|
|
|
Author(s) |
|
|
|
A. F. Daghestani,
K. S. Sultan,
A. S. Al-Moisheer,
|
|
|
|
Abstract |
|
|
| The present paper addresses a mixture of one-parameter
Lindley and Weibull distributions from both practical and
theoretical points of view. On the other hand, the aim of this paper
is to set the record straight about this mixture. First, we
introduce the mixture of one-parameter Lindley and Weibull
distributions. Consequently, we study the main statistical
properties of the proposed mixture model with some graphs of both
density and hazard rate functions. Next, we estimate the unknown
parameters of the mixture of one-parameter Lindley and Weibull
distributions via the generalized method of moments and the maximum
likelihood method. However, the bias, mean squared error and the
relative efficiency of the estimated parameters are calculated using
a Monte Carlo simulation study. The coverage probability and average
width of the estimated intervals are also computed to examine the
quality of the estimation methods. Finally, we evaluate the
performance of our results with some simulation experiments and real
data applications. |
|
|
|
|
|
|
|
