URL for generating functions ?
I need a URL containing a list of discrete Probability distributions
with the corresponding probability generating functions.
Something like that :
Poisson P(X=n)=a^n/n!*exp(-a), n>=0 E(t^X)=exp(a(t-1))
geometrical P(X=n)=p(1-p)^(n-1), n>=1 E(t^X)=tp/(1-t-tp)
and so on, for as many distributions as possible
(binomial, negative binomial, uniform, hypergeometrical, Zipf, etc)
I need it in a very compact, easy-to-read for non-probabilists,
I tried google, but "probability" generating" and "function" are
very frequent words appearing in various contexts, some of them
irrelevant, other ones containing a single generating function
lost in a bunch of mathematical informations...
Does such a URL exist ? Where ?
Thanks in advance,
> I need a URL containing a list of discrete Probability distributionsHi Myriam,
> with the corresponding probability generating functions.
I really thought I had the answer to this:-( There is a pretty
good list called "a compendium of common probability distributions"
on the following page:
Unfortunately, there seems to be no information about characteristic
functions (or moment generating functions). So I'll keep looking.
- Hi Noel,
Thanks for your answer, the link is really interesting, especially
the "characterization" given for each distribution.
But the generating functions are not given :-(
Perhaps the URL I'm looking for doesn't exist...
Thanks again and do not invest too much time in this. I thought
perhaps someone here already knows of such an URL and it will
save me time. But if it is necessary to collect the generating
functions from different locations, I can do it.
--- In firstname.lastname@example.org, "Noel Vaillant" <vaillant@p...> wrote:
> > I need a URL containing a list of discrete Probability distributions
> > with the corresponding probability generating functions.
> Unfortunately, there seems to be no information about characteristic
> functions (or moment generating functions). So I'll keep looking.