In this paper, a new method is proposed for generating families of continuous distributions. A random variable <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation>, “the transformer”, is used to transform another random variable <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$T$$</EquationSource> </InlineEquation>, “the transformed”. The resulting family, the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$T$$</EquationSource> </InlineEquation>-<InlineEquation ID="IEq4"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation> family of distributions, has a...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>

This paper models household fertility decisions by using a generalized Poisson regression model. Since the fertility data used in the paper exhibit under-dispersion, the generalized Poisson regression model has statistical advantages over both standard Poisson and negative binomial regression...

In examining the relation between violence against women and women's economic dependence, existing literature treats the incidents of violence either as a binary or as a continuous variable. However, the incidents of violence is a count variable and, quite often, data on the number of violent...

In this note, it is shown that the generalized logarithmic series distribution is unimodal and that the mode is at the point x = 1.