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zeta distribution when s->1
The Next CEO of Stack OverflowIs Riemann Zeta Function symmetrical about the real axis?Is “probability distribution function” a distribution?Distribution with two (or more) mediansThe values of the derivative of the Riemann zeta function at negative odd integersHow to result in moment generating function of Weibull distribution?Recursive formula for Multivariate Normal distributionDifference between “undefined variance” and “infinite variance” (and likewise moments)Probability distribution vs. probability mass function / Probability density function terms: what's the differenceSkewness and Kurtosis of the Degenerate DistributionProof of $ E(XY) = E(X) E(Y) $
$begingroup$
Zeta distribution is just a set's density when s->1.
I found this on the Wikipedia page about zeta distribution(https://en.wikipedia.org/wiki/Zeta_distribution).
but I can't find a proof for it, can one help me with that?
probability probability-theory zeta-functions
asked Mar 18 at 11:41
spectrometerspectrometer
1
$endgroup$
add a comment |
$begingroup$
Zeta distribution is just a set's density when s->1.
I found this on the Wikipedia page about zeta distribution(https://en.wikipedia.org/wiki/Zeta_distribution).
but I can't find a proof for it, can one help me with that?
probability probability-theory zeta-functions
asked Mar 18 at 11:41
spectrometerspectrometer
1
$endgroup$
1
$begingroup$
Proof of what?.
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:52
1
$begingroup$
Question very unclear.
$endgroup$
– Gerry Myerson
Mar 18 at 11:56
$begingroup$
I'm sorry. I will make it more clear. It's the theorem under 'The case s = 1' on the Wikipedia Page of zeta distribution, which is lim(s->1+) P(x in A) = density of A. Thanks a lot.
$endgroup$
– spectrometer
Mar 20 at 11:37
add a comment |
$begingroup$
Zeta distribution is just a set's density when s->1.
I found this on the Wikipedia page about zeta distribution(https://en.wikipedia.org/wiki/Zeta_distribution).
but I can't find a proof for it, can one help me with that?
probability probability-theory zeta-functions
asked Mar 18 at 11:41
spectrometerspectrometer
1
$endgroup$
Zeta distribution is just a set's density when s->1.
I found this on the Wikipedia page about zeta distribution(https://en.wikipedia.org/wiki/Zeta_distribution).
but I can't find a proof for it, can one help me with that?
probability probability-theory zeta-functions
probability probability-theory zeta-functions
asked Mar 18 at 11:41
spectrometerspectrometer
1
asked Mar 18 at 11:41
spectrometerspectrometer
1
asked Mar 18 at 11:41
spectrometerspectrometer
1
asked Mar 18 at 11:41
spectrometerspectrometer
1
asked Mar 18 at 11:41
spectrometerspectrometer
1
1
1
$begingroup$
Proof of what?.
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:52
1
$begingroup$
Question very unclear.
$endgroup$
– Gerry Myerson
Mar 18 at 11:56
$begingroup$
I'm sorry. I will make it more clear. It's the theorem under 'The case s = 1' on the Wikipedia Page of zeta distribution, which is lim(s->1+) P(x in A) = density of A. Thanks a lot.
$endgroup$
– spectrometer
Mar 20 at 11:37
add a comment |
1
$begingroup$
Proof of what?.
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:52
1
$begingroup$
Question very unclear.
$endgroup$
– Gerry Myerson
Mar 18 at 11:56
$begingroup$
I'm sorry. I will make it more clear. It's the theorem under 'The case s = 1' on the Wikipedia Page of zeta distribution, which is lim(s->1+) P(x in A) = density of A. Thanks a lot.
$endgroup$
– spectrometer
Mar 20 at 11:37
1
1
$begingroup$
Proof of what?.
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:52
$begingroup$
Proof of what?.
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:52
1
1
$begingroup$
Question very unclear.
$endgroup$
– Gerry Myerson
Mar 18 at 11:56
$begingroup$
Question very unclear.
$endgroup$
– Gerry Myerson
Mar 18 at 11:56
$begingroup$
I'm sorry. I will make it more clear. It's the theorem under 'The case s = 1' on the Wikipedia Page of zeta distribution, which is lim(s->1+) P(x in A) = density of A. Thanks a lot.
$endgroup$
– spectrometer
Mar 20 at 11:37
$begingroup$
I'm sorry. I will make it more clear. It's the theorem under 'The case s = 1' on the Wikipedia Page of zeta distribution, which is lim(s->1+) P(x in A) = density of A. Thanks a lot.
$endgroup$
– spectrometer
Mar 20 at 11:37
add a comment |
0
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1
$begingroup$
Proof of what?.
$endgroup$
– Mostafa Ayaz
Mar 18 at 11:52
1
$begingroup$
Question very unclear.
$endgroup$
– Gerry Myerson
Mar 18 at 11:56
$begingroup$
I'm sorry. I will make it more clear. It's the theorem under 'The case s = 1' on the Wikipedia Page of zeta distribution, which is lim(s->1+) P(x in A) = density of A. Thanks a lot.
$endgroup$
– spectrometer
Mar 20 at 11:37