[Top] [All Lists]

Re: [ontolog-forum] Probabilistic Ontologies

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: "Barker, Sean (UK)" <Sean.Barker@xxxxxxxxxxxxxx>
Date: Tue, 19 Jun 2007 10:08:56 +0100
Message-id: <E18F7C3C090D5D40A854F1D080A84CA41F1B28@xxxxxxxxxxxxxxxxxxxxxx>

See below    (01)

Sean Barker
Bristol, UK    (02)

This mail is publicly posted to a distribution list as part of a process
of public discussion, any automatically generated statements to the
contrary non-withstanding. It is the opinion of the author, and does not
represent an official company view.    (03)

> -----Original Message-----
> From: ontolog-forum-bounces@xxxxxxxxxxxxxxxx 
> [mailto:ontolog-forum-bounces@xxxxxxxxxxxxxxxx] On Behalf Of 
> Waclaw Kusnierczyk
> Sent: 19 June 2007 09:44
> To: [ontolog-forum]
> Subject: Re: [ontolog-forum] Probabilistic Ontologies
>                *** WARNING ***
> This mail has originated outside your organization, either 
> from an external partner or the Global Internet. 
>      Keep this in mind if you answer this message. 
> Barker, Sean (UK) wrote:
> > Waclaw
> > 
> >     From the point of view of practical mathematics, 
> probability over 
> > continuous distributions is defined through probability density 
> > functions, with the probability for any interval being the 
> integral of 
> > the pdf over that interval. If you reduce the interval to 
> zero, then 
> > the probability goes to zero. No problem there.
> Depends on what you mean by 'reduce to zero'.  There is the 
> empty interval, and infinitely many singleton intervals 
> [x,x].  For the empty interval, obviously P(X = x | x in the 
> empty interval) = 0.  For any singleton interval, it is not 
> that obvious to me that P(X = x) = 0 for some x for which the 
> 'reduced to zero' interval [x,x] is considered.    (04)

Reduce to 0: for any sequence of intervals In = [xn, yn], xn, yn in
Reals, xn < yn, for arbitrary epsilon > 0, there exists N such that for
all n > N (yn - xn) < epsilon.    (05)

This email and any attachments are confidential to the intended
recipient and may also be privileged. If you are not the intended
recipient please delete it from your system and notify the sender.
You should not copy it or use it for any purpose nor disclose or
distribute its contents to any other person.
********************************************************************    (06)

Message Archives: http://ontolog.cim3.net/forum/ontolog-forum/  
Subscribe/Config: http://ontolog.cim3.net/mailman/listinfo/ontolog-forum/  
Unsubscribe: mailto:ontolog-forum-leave@xxxxxxxxxxxxxxxx
Shared Files: http://ontolog.cim3.net/file/
Community Wiki: http://ontolog.cim3.net/wiki/ 
To Post: mailto:ontolog-forum@xxxxxxxxxxxxxxxx    (07)

<Prev in Thread] Current Thread [Next in Thread>