The infimum values of three probability functions for the Laplace distribution and the student's $t$ distribution

Rong-Sheng Hu, Ze-Chun Hu, Zhen Huang +1

Let $\{X_{\hat{I}}\pm \}$ be a family of random variables satisfying some distribution with a parameter $\hat{I}\pm$, $E(X_{\hat{I}}\pm )$ be the expectation, and $Var(X_{\hat{I}}\pm )$ be the variance. In this paper, we…