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Topic: Continuous and discrete uniform distributions of N
Replies: 27   Last Post: Dec 28, 2012 9:45 PM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: Continuous and discrete uniform distributions of N
Posted: Dec 25, 2012 4:12 AM

In article
Butch Malahide <fred.galvin@gmail.com> wrote:

> On Dec 25, 12:48 am, Virgil <vir...@ligriv.com> wrote:
> >
> > The standard definition of probability requires that the sum of the
> > probabilities over ANY set of sets making up a partition of the space be
> > equal to one.

>
> How does that work out in the case of the partition of the space into
> its one-element subsets?

If the space is N, it doesn't, which is teh point I was trying to bring

> Are you saying that the standard definition
> requires every probability distribution to be discrete?

Not at all! Finite spaces cause no problems and for a space of
uncountable cardinality, one can have the probability of every countable
set equal to zero and still have meaningful probability. It is only
spaces of countable cardinality that cause this sort of trouble if one
wishes sets of equal cardinality all to have the same probability.
--

Date Subject Author
12/20/12 ross.finlayson@gmail.com
12/21/12 FredJeffries@gmail.com
12/21/12 Bill Taylor
12/22/12 Porky Pig Jr
12/22/12 ross.finlayson@gmail.com
12/24/12 FredJeffries@gmail.com
12/22/12 David Bernier
12/22/12 Butch Malahide
12/24/12 FredJeffries@gmail.com
12/24/12 Butch Malahide
12/25/12 Virgil
12/25/12 Butch Malahide
12/25/12 Virgil
12/25/12 Butch Malahide
12/25/12 Virgil
12/25/12 Butch Malahide
12/26/12 gus gassmann
12/26/12 Butch Malahide
12/27/12 ross.finlayson@gmail.com
12/27/12 ross.finlayson@gmail.com
12/28/12 Virgil
12/28/12 ross.finlayson@gmail.com
12/28/12 Virgil
12/28/12 ross.finlayson@gmail.com
12/28/12 Virgil
12/28/12 ross.finlayson@gmail.com
12/25/12 Shmuel (Seymour J.) Metz
12/25/12 Butch Malahide