TITLE:
Generalized Inverted Kumaraswamy Distribution: Properties and Application
AUTHORS:
Zafar Iqbal, Muhammad Maqsood Tahir, Naureen Riaz, Syed Azeem Ali, Munir Ahmad
KEYWORDS:
Generalized Inverted Kumaraswamy Distribution, Stress-Strength Models, Maximum Likelihood Estimation
JOURNAL NAME:
Open Journal of Statistics,
Vol.7 No.4,
August
11,
2017
ABSTRACT:
The techniques to find appropriate new models for data sets are very popular
nowadays among the researchers of this area where existed models in the literature
are not suitable. In this paper, a new distribution, generalized inverted
Kumaraswamy (GIKum) distribution is introduced. The main aims of this research
are to develop a general form of inverted Kumaraswamy (IKum) distribution
which is flexible than the IKum distribution and all of its related and
sub models. Some properties of GIKum distribution such as measures of central
tendency and dispersion, models of stress-strength, limiting distributions,
characterization of GIKum distribution and related probability distributions
through some specific transformations are derived. The mathematical expressions
of reliability function (r.f) and the hazard rate function (hrf) of the GIKum
distribution are found and presented through their graphs. The parameters
estimation through the maximum likelihood (ML) estimation method is
used and the results are applied to the data set of prices of wooden toys of 31
children.