Re: Birthday problem for such non-uniform birthday probabilities


"David M Einstein" <Deinst@xxxxxxxxx> wrote in message
news:1132586540.046923.115340@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
>
> 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
>
>> >
>> > Helmut
>>
>> You won't, as it is also reasonable that this probability decreases for a
>> non-uniform
>> distribution.
>>
>> You need to specify the "non-uniform" distributions to determine if it
>> increases/decreases.
>
> I would be very interested in seeing a distribution that decreases the
> probability of
> a match.
>

simple- define "distribution" as sequential days beginning on Jan 1


.

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