Abstract
In this paper, we propose a new family of distributions called
the Marshall-Olkin odd Lindley-G family of distributions. It is constructed
from the Marshall-Olkin transformation and the odd Lindley-G family of
distributions introduced by Gomes-Silva et al. [10]. We study the fundamental mathematical properties of this new family and highlight its ability
to provide appropriate statistical models for various kinds of data. A particular attention is paid on a special model with four parameters, using the
Burr III distribution as baseline. We then estimate the model parametersby the maximum likelihood method. A simulation study is performed to
check the asymptotic behavior of the maximum likelihood estimates. Four
applications with practical data sets are considered to see the usefulness
of the proposed family.
Farrukh Jamal, Hesham Reyad, Christophe Chesneau, Muhammad Arslan Nasir, Soha Othman. (2019) The Marshall-Olkin Odd Lindley-G Family of Distributions: Theory and Applications, Punjab University Journal of Mathematics, Volume 51, Issue 7.
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