On the Mean Difference Variance in Random Samples of Student’s Variables

Abstract

The purpose of this paper is to obtain the expression of the sample mean difference variance of the Student’s distributive model. In the 2007 the study of the mean difference variance, after some decades, was resumed by Campobasso [1] . Using the Nair’s [2] and Lomnicki’s general results [3] , he obtained the variance of sample mean difference for different distributive models (Laplace ’ s, triangular, power, logit, Pareto ’ s and Gumbel’s model). In addition he extended the knowledge comparing to the ones already known for the other distributive model (normal, rectangular and exponential model).