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

• 作者: Marin Claudia
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: Mean Difference Variance Random Sample STUDENT
• 年，卷（期）: 2020,（4）
• 页码范围: 659-663
• 页数: 5页
• 分类号: O17

摘要

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</span><span style="font-family:Verdana;"> [1]</span><span style="font-family:Verdana;">. Using the Nair’s </span><span style="font-family:Verdana;">[2]</span><span style="font-family:Verdana;"> and Lomnicki’s general results</span><span style="font-family:Verdana;"> [3]</span><span style="font-family:Verdana;">, he obtained the variance of sample mean difference for different distributive models (Laplace</span><span style="font-family:Verdana;">’</span><span style="font-family:Verdana;">s, triangular, power, logit, Pareto</span><span style="font-family:Verdana;">’</span><span style="font-family:Verdana;">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).