2,845 research outputs found
Exponentiated Extended Weibull-Power Series Class of Distributions
In this paper, we introduce a new class of distributions by compounding the
exponentiated extended Weibull family and power series family. This
distribution contains several lifetime models such as the complementary
extended Weibull-power series, generalized exponential-power series,
generalized linear failure rate-power series, exponentiated Weibull-power
series, generalized modified Weibull-power series, generalized Gompertz-power
series and exponentiated extended Weibull distributions as special cases. We
obtain several properties of this new class of distributions such as Shannon
entropy, mean residual life, hazard rate function, quantiles and moments. The
maximum likelihood estimation procedure via a EM-algorithm is presented.Comment: Accepted for publication Ciencia e Natura Journa
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
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