# Name and notation convention for “unnormalized probability”

Given a finite set of non-negative numbers $S={s_1,...,s_n}$, we can divide them by a normalization constant $Z$ (i.e. their sum) to get a probability distribution.

Then we typically say (and write) something like: the probability of event $x_i$ is $p(x_i)=\frac{s_i}{Z}$.

In this context, is there any standard name and notation conventions for the "unnormalized probability" $s_i$?

I usually just call these unnormalized probabilities and use some arbitrary notation (e.g. $\tilde{p}(x_i)$), but I am not very fond of this name.

• @Bitwise based on your description in the post, you are dividng a number by its sum to get a probability. In that case, mustn't your $s_i$'s be raw counts of some sort? Why wouldn't you just call them counts? – user76844 Jan 24 '14 at 17:21
• Actually, these are not the counts. It is more of a parametrized probability distribution, e.g. $p(x_i)=\frac{e^{i}}{Z}$. – Bitwise Jan 24 '14 at 19:10