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

Open Journal of Statistics(2020)

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