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>

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.

In this paper, a quasi-negative binomial distribution (QNBD) derived from the class of generalized Lagrangian probability distributions is studied. The negative binomial distribution is a special case of QNBD. Some properties of QNBD, including the upper tail behavior and limiting distributions,...

In this paper, a new bivariate negative binomial regression (BNBR) model allowing any type of correlation is defined and studied. The marginal means of the bivariate model are functions of the explanatory variables. The parameters of the bivariate regression model are estimated by using the...

In this paper, some properties of gamma-X family are discussed and a member of the family, the gamma-normal distribution, is studied in detail. The limiting behaviors, moments, mean deviations, dispersion, and Shannon entropy for the gamma-normal distribution are provided. Bounds for the...