TITLE:
Flexible Reduced Logarithmic-Inverse Lomax Distribution with Application for Bladder Cancer
AUTHORS:
Mohamed M. Buzaridah, Dina A. Ramadan, Beih S. El-Desouky
KEYWORDS:
Lomax Distribution, Inverse Lomax Distribution, Hazard Rate Function, Maximum Likelihood Estimators, Skewness and Kurtosis, Moment Generating Function
JOURNAL NAME:
Open Journal of Modelling and Simulation,
Vol.9 No.4,
August
31,
2021
ABSTRACT: In this paper, a new method for adding parameters to
a well-established distribution to obtain more flexible new families of
distributions is applied to the inverse Lomax distribution (IFD). This method
is known by the flexible reduced logarithmic-X family of distribution (FRL-X).
The proposed distribution can be called a flexible reduced logarithmic-inverse
Lomax distribution (FRL-IL). The statistical and reliability properties of the
proposed models are studied including moments, order statistics, moment generating
function, and quantile function. The estimation of the model parameters by
maximum likelihood and the observed information matrix are also discussed. In
order to assess the potential of the newly created distribution. The extended
model is applied to real data and the results are given and compared to other
models.