What's the conventional notation for most probable/likely value as opposed to expectation value?

Say I want to distinguish the expected value for some random variable $\mathbb{E}(\eta)$ from its most likely / probable value.

Is there a conventional, succinct way to refer to the latter, other than: $MostProbableValue(\eta)=\cdots$ ?

• Of course, such a value need not exist uniquely. For example, what would you use for a uniform distribution?
– MPW
Commented Mar 23, 2016 at 11:45
• This is called the mode. Commented Mar 23, 2016 at 11:46
• um yes, I understand that (and it does exist uniquely for my random variable). I was just wondering whether there is an equivalent conventional notation to $\mathbb{E}$, but apparently not. Commented Mar 23, 2016 at 11:48

As already noted by MPW in the comments. The value is not unique. Also it does not need to exist (e.g. exponential distribution on $(0,\infty)$, which does not assume it's max on the definition range.). Hence a functional notation $MaxProb(P)$ would not be missleading.
On the other hand, a Maximum-Likelyhood-estimator of a statistic $\theta$ is often written as $\hat{\theta}$.
If you view the identity random variable $I: \Omega \rightarrow \Omega$, as statistic, you can write $\hat{I}$ for the most probable value.