Re: Birthday problem for such non-uniform birthday probabilities


David M Einstein wrote:
> Doug wrote:
> > "Helmut Zeisel" <helmut.zeisel@xxxxxx> wrote in message
> > news:dls5fv.5lg.1@xxxxxxxxxxxxxxxxx
> > > Consider the birthday problem:
> > >
> > > There are n randomly chosen person in a room. What is the proabability
> > > that there exist k persons who have birthday on the same day.
> > >
> > > I know how to compute the probability assuming a uniform birthday
> > > distribution.
> > >
> > > It is reasonable that this probability increases for a non-uniform
> > > birthday distribution.
> > >
> > > Where can I find a proof for this result?
>
> Blom, D. (1973), "A birthday problem", American Mathematical Monthly,
> vol. 80, pp. 1141-1142

Note that this solution covers only the case k = 2. The "Editorial
Note" at the end refers the reader to articles in American Statistician
in Feb. 1968, April 1968, Feb. 1970
and June 1972. I don't know whether those cover the cases k > 2.

Robert Israel israel@xxxxxxxxxxx
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada

.

Relevant Pages

  • Birthday problem for such non-uniform birthday probabilities
    ... What is the proabability that there exist k persons who have birthday on the same day. ... I know how to compute the probability assuming a uniform birthday distribution. ... It is reasonable that this probability increases for a non-uniform birthday distribution. ...
    (sci.math)
  • Re: Women face raised whiplash risk
    ... Doug has held a full Driving Licence for the whole of his adult life. ... he renewed it twice after his 70th birthday in ... Doug used to own a Land Rover, and once used it to tow a lorry out of a ...
    (uk.transport)
  • Re: Women face raised whiplash risk
    ... Doug has held a full Driving Licence for the whole of his adult life. ... he renewed it twice after his 70th birthday in ... Doug used to own a Land Rover, and once used it to tow a lorry out of a ... working ability of his Land Rover- which is understandable since Land ...
    (uk.transport)
  • Re: Why a cold is as bad for your driving as a couple of whiskies.
    ... Doug gurgled happily, sounding much like they were ... so you HAVE renewed it since your 70th birthday? ...
    (uk.transport)
  • Re: Archer/McReady pissing match
    ... Doug ... Hi, Smorgie! ... Your birthday is right around the corner! ...
    (rec.sport.billiard)