Suppose X is an arbitrary random variable and g(cdot) is a non-negative Borel function on R. If g(cdot) is even and non-decreasing on [0,infty), then for every a0:

Q142Section III (Statistics)142 of 190

Markov's inequality applied to $g(|X|)$

Suppose X is an arbitrary random variable and $g(\cdot)$ is a non-negative Borel function on $\mathbb{R}$ . If $g(\cdot)$ is even and non-decreasing on $[0,\infty)$ , then for every $a>0$ :

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