Statistical inequalities

theorem of convex functions

inequality applying to random variables with finite expected values

lower bound on variance of an estimator

inequality applying to probability spaces

inequality applying to (sub-)martingales

probability theorem

inequality encountered in block design

mathematical construction of a martingale (with respect to a given filtration) approximating a given random variable; the evolving sequence of best approximations to the random variable based on information accumulated up to a certain time

inequality relating a sample mean and standard deviation of that sample