Delta Markov inequality

Theorem

Let $\mathbb{T}$ be a time scale with $a \in \mathbb{T}$. Then $$P(X \geq a) \leq \dfrac{\mathbb{E}_{\mathbb{T}}(X)}{a},$$ where $X$ is a random variable, $P$ denotes probability, and $\mathbb{E}_{\mathbb{T}}$ denotes expected value.

References

$\Delta$-Inequalities

Bernoulli

Bihari

Cauchy-Schwarz

Gronwall

Hölder

Jensen

Lyapunov

Markov

Minkowski

Opial

Tschebycheff

Wirtinger