4,929 research outputs found
On Bivariate Exponentiated Extended Weibull Family of Distributions
In this paper, we introduce a new class of bivariate distributions called the
bivariate exponentiated extended Weibull distributions. The model introduced
here is of Marshall-Olkin type. This new class of bivariate distributions
contains several bivariate lifetime models. Some mathematical properties of the
new class of distributions are studied. We provide the joint and conditional
density functions, the joint cumulative distribution function and the joint
survival function. Special bivariate distributions are investigated in some
detail. The maximum likelihood estimators are obtained using the EM algorithm.
We illustrate the usefulness of the new class by means of application to two
real data sets.Comment: arXiv admin note: text overlap with arXiv:1501.03528 by other author
Inference on the Parameters of the Weibull Distribution Using Records
The Weibull distribution is a very applicable model for the lifetime data. In
this paper, we have investigated inference on the parameters of Weibull
distribution based on record values. We first propose a simple and exact test
and a confidence interval for the shape parameter. Then, in addition to a
generalized confidence interval, a generalized test variable is derived for the
scale parameter when the shape parameter is unknown. The paper presents a
simple and exact joint confidence region as well. %for the scale and shape
parameters. In all cases, simulation studies show that the proposed approaches
are more satisfactory and reliable than previous methods. All proposed
approaches are illustrated using a real example.Comment: Accepted for publication in SOR
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