Communities

Writing
Writing
Codidact Meta
Codidact Meta
The Great Outdoors
The Great Outdoors
Photography & Video
Photography & Video
Scientific Speculation
Scientific Speculation
Cooking
Cooking
Electrical Engineering
Electrical Engineering
Judaism
Judaism
Languages & Linguistics
Languages & Linguistics
Software Development
Software Development
Mathematics
Mathematics
Christianity
Christianity
Code Golf
Code Golf
Music
Music
Physics
Physics

Dashboard
Notifications
Mark all as read
Q&A

In $P(X\leq q)$, what do we call $q$?

+4
−0

This is a simple question, but in $P(X\leq q)=\alpha$, what do we call $q$?

I sometimes call them quantiles, for lack of a better word, but it's not correct, I think. My 'inspiration' comes from the quantile function, which for continuous distributions we'll always have $Q(\alpha)=q$.

Why does this post require moderator attention?
You might want to add some details to your flag.
Why should this post be closed?

0 comments

1 answer

+2
−0

A quantile is an interval of values that a random variable such that all quantiles partition the range of the random variable and contain equal amounts of probability. If it does happen that $\Pr[X \le q] = \frac{1}{n}$ then $(-\infty, q]$ could be considered the first of $n$ quantiles. But $q$ itself isn't a quantile.

I would simply call $q$ an upper bound. I don't think there's any more specific word for it.

Why does this post require moderator attention?
You might want to add some details to your flag.

0 comments

Sign up to answer this question »

This community is part of the Codidact network. We have other communities too — take a look!

You can also join us in chat!

Want to advertise this community? Use our templates!