How to prove if its a probability Density function

[onlyfknhuman]

Area = 1

and its continuous right?

[Mao]

yep

[shinny]

In methods, do we have to prove:


And continuous?

Or just the area? Quite tedious to prove the other two at times <_<

[/0]

It does not have to be continuous

[onlyfknhuman]

how come?

[shinny]

Yeh I was thinking about that after...doesn't need to be continuous does it? Theres plenty of distributions which just cut off. But they have to at least be defined over R yes? (i.e. no 'gaps' in the domain. Everything must be assigned a value, even if it means y=0)

[Mao]

It does not have to be continuous

I can kind of see your point... however, it has to have a definite area bound by two ends though.

for example, you cannot define a continuous random probability function for (unless, of course, k is infinitesimal.... but lets not go into that)

[onlyfknhuman]

ah fudge i see.

[Pandemonium]

It does not have to be continuous

I can kind of see your point... however, it has to have a definite area bound by two ends though.
PDFs must have definite end points. yo.
for example, you cannot define a continuous random probability function for (unless, of course, k is infinitesimal.... but lets not go into that)