Abstract
A new family of distributions called the type II half logistic is introduced and studied. Four new special models are presented. Some mathematical properties of the type II half logistic family are studied. Explicit expressions for the moments, probability weighted, quantile function, mean deviation, order statistics and Rényi entropy are investigated. Parameter estimates of the family are obtained based on maximum likelihood procedure. Two real data sets are employed to show the usefulness of the new family.Â
Highlights
The most popular traditional distributions often do not characterize and do not predict most of the interesting data sets
We introduce a recently generated family of distributions using the half logistic distribution as a generator
The half logistic distribution is a member of the family of logistic distributions which is introduced by (Balakrishnan, 1985) which has the following cumulative distribution function
Summary
The most popular traditional distributions often do not characterize and do not predict most of the interesting data sets. (Eugene et al 2002) studied the beta-family of distributions. (Zografos and Balakrishnan, 2009) suggested a generated family using gamma distribution which is defined as follows. Some generated families were studied by several authors, for example, the kummer beta by (Pescim et al, 2012), exponentiated generalized class by (Cordeiro et al, 2013), Weibull-G by (Bourguignon et al, 2014), exponentiated half-logistic by (Cordeiro et al, 2014), the type I half-logistic by (Cordeiro et al, 2015), and the Kumaraswamy Weibull by (Hassan and Elgarhy, 2016). The type II half logistic- generated (TIIHL G ) family is defined.
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