TITLE:
On the Mean Difference Variance in Random Samples of Student’s Variables
AUTHORS:
Manca Fabio, Marin Claudia
KEYWORDS:
Mean Difference Variance, Random Sample, Student
JOURNAL NAME:
Open Journal of Statistics,
Vol.10 No.4,
August
11,
2020
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).