Abstract
A new continuous distribution on the positive real line is constructed from half-logistic distribution, using a transformation and its analytical characteristics are studied. Some characterization results are derived. Classical procedures for the estimation of parameters of the new distribution are discussed and a comparative study is done through numerical examples. Further, different families of continuous distributions on the positive real line are generated using this distribution. Application is discussed with the help of real-life data sets.
Highlights
Distributions defined on the positive real line are widely used in modeling of survival data
Half-logistic distribution (HLD) is another life distribution used in reliability analysis by many researchers
In the present paper, we introduce a new continuous distribution on the positive real line using a transformation of half-logistic random variable
Summary
Distributions defined on the positive real line are widely used in modeling of survival data. The half-logistic random variable studied by Balakrishnan [1, 2] has survival function. It is well known that through power transformation, the Weibull is an extension of exponential while the power function distribution is that of uniform. It is of interest to know what would be the distribution of similar power transformation of half-logistic distributions. In the present paper, we introduce a new continuous distribution on the positive real line using a transformation of half-logistic random variable. We study the properties and applications of this so-called generalization of half-logistic distribution.
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