$h(\cdot)$ denotes a strict monotonic increasing transformation such as $\log$.
Another inequality I do not quite get is that
$$\mathsf{P}\left(h(X) \le h(x)\right) \ge \mathsf{P}\left(X \le h(x)\right)$$
Some help would be very much appreciated!
$h(\cdot)$ denotes a strict monotonic increasing transformation such as $\log$.
Another inequality I do not quite get is that
$$\mathsf{P}\left(h(X) \le h(x)\right) \ge \mathsf{P}\left(X \le h(x)\right)$$
Some help would be very much appreciated!