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Что (кто) такое Vysochanskij–Petunin inequality - определение
Vysochanskij–Petunin inequality
PROBABILISTIC INEQUALITY APPLYING TO UNIMODAL AND FINITE EXPECTED VALUE RANDOM VARIABLES
Vysochanskii-Petunin inequality; Vysochanskiï-Petunin inequality; Vysochanskiï; Vysochanskii–Petunin inequality; Vysochanskiï–Petunin inequality; Vysochanskij-Petunin inequality; Draft:One-sided Vysochanskii-Petunin inequality
In probability theory, the Vysochanskij–Petunin inequality gives a lower bound for the probability that a random variable with finite variance lies within a certain number of standard deviations of the variable's mean, or equivalently an upper bound for the probability that it lies further away. The sole restrictions on the distribution are that it be unimodal and have finite variance.
Poincaré inequality
In mathematics, the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to obtain bounds on a function using bounds on its derivatives and the geometry of its domain of definition.
Grönwall's inequality
THEOREM THAT GIVES BOUNDS ON INTEGRALS OF FUNCTIONS
Gronwall's lemma; Grönwall's lemma; Gronwall inequality; Gronwall lemma; Grönwall inequality; Grönwall lemma; Bellman-Gronwall inequality; Bellman-gronwall inequality; Groenwall's inequality; Groenwall inequality; Groenwall lemma; Groenwall's lemma; Gronwall–Bellman inequality; Gronwall's inequality; Gronwall-Bellman inequality
In mathematics, Grönwall's inequality (also called Grönwall's lemma or the Grönwall–Bellman inequality) allows one to bound a function that is known to satisfy a certain differential or integral inequality by the solution of the corresponding differential or integral equation. There are two forms of the lemma, a differential form and an integral form.
