# What exactly is a general probability distribution?

1. Feb 16, 2016

### Zacarias Nason

I'm watching a Stat. Mech. lecture and in it, the lecturer mentions a "general probability distribution" but doesn't explain what exactly that is, yet in the context of the video, everything necessary to understand is understood.

On some cursory google searches I'm finding several hits for a "general probability distribution" in papers and abstracts, but I am struggling to find a good definition. What is a good way to define this? Obviously the word "general" wasn't just thrown in there to confuse people, what does this mean? Does "for a general probability distribution" literally just mean that any of the related work/concepts is applicable to all probability distributions?

2. Feb 16, 2016

### gleem

That's the way I would interpret it. Perhaps the author should have said for a "given" probability function.

3. Feb 16, 2016

### HallsofIvy

I would take it to mean, in one dimension, a function F(x), such that F is increasing, the limit, as x goes to negative infinity, is 0, and the limit, as x goes to infinity, is 1.