We consider concepts and models for measuring inequality in the distribution of resources with a focus on how inequality varies as a function of covariates. Lorenz introduced a device for measuring inequality in the distribution of income that indicates how much the incomes below the u$^{th}$...

We consider concepts and models that are useful for measuring how strongly the distribution of a positive response Y is concentrated near a value with a focus on how concentration varies as a function of covariates. We combine ideas from statistics, economics and reliability theory. Lorenz...

The purpose of additive subgroup decomposition is to study the relationship between overall inequality and inequality within and between population subgroups defined by variables like gender, age, education and region of residence. As opposed to the inequality measures that are additively...

The problem of classifying a categorical response Y is considered in a nonparametric framework. The distribution of Y depends on a vector of predictors X, where the coordinates Xj of X may be continuous, discrete, or categorical. An algorithm is constructed to select the variables to be used for...

Suppose that X is a random vector with probability distribution P and suppose that denotes a proposed model that involves interesting parameters and relationship between variables. We consider statistical inference procedures for the case where constructed as follows: let [theta](P) denote the...