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Citation for marginal of uniform hypersphere distribution

Marginal Distribution of Uniform Vector on Sphereequivalence between uniform and normal distributionSumming many non-standard i.i.d. uniform random variablesCalculating variance of marginal distributionWhat's an intuitive description of the meaning of standard deviation in a discrete uniform distribution?Is this a beta distribution?Marginal Distribution of Uniform Vector on SphereDetermining the domain for marginal distributions, expectations, and variancesDistribution of correlation of fixed vector on vectors of n-sphereContinuous mixture of uniform distribution with uniformly distributed lower boundGenerating vector inside a $n$-sphere

0

$begingroup$

Based on some other answers (such as Marginal Distribution of Uniform Vector on Sphere), I understand that the marginal of a uniform distribution on a hypersphere is a Beta distribution.

Is there a paper/textbook that proves this seemingly standard result that I could cite in my paper? Note that the link I shared does have the answer, but I'm looking for something that I can cite.

probability statistics probability-distributions reference-request uniform-distribution

share|cite|improve this question

edited 2 days ago

Lee David Chung Lin

4,38031242

asked 2 days ago

EnigmanEnigman

1335

$endgroup$

add a comment | 

0

$begingroup$

Based on some other answers (such as Marginal Distribution of Uniform Vector on Sphere), I understand that the marginal of a uniform distribution on a hypersphere is a Beta distribution.

Is there a paper/textbook that proves this seemingly standard result that I could cite in my paper? Note that the link I shared does have the answer, but I'm looking for something that I can cite.

probability statistics probability-distributions reference-request uniform-distribution

share|cite|improve this question

edited 2 days ago

Lee David Chung Lin

4,38031242

asked 2 days ago

EnigmanEnigman

1335

$endgroup$

add a comment | 

$begingroup$

Based on some other answers (such as Marginal Distribution of Uniform Vector on Sphere), I understand that the marginal of a uniform distribution on a hypersphere is a Beta distribution.

Is there a paper/textbook that proves this seemingly standard result that I could cite in my paper? Note that the link I shared does have the answer, but I'm looking for something that I can cite.

probability statistics probability-distributions reference-request uniform-distribution

share|cite|improve this question

edited 2 days ago

Lee David Chung Lin

4,38031242

asked 2 days ago

EnigmanEnigman

1335

$endgroup$

share|cite|improve this question

edited 2 days ago

Lee David Chung Lin

4,38031242

asked 2 days ago

EnigmanEnigman

1335

share|cite|improve this question

edited 2 days ago

Lee David Chung Lin

4,38031242

asked 2 days ago

EnigmanEnigman

1335

edited 2 days ago

Lee David Chung Lin

4,38031242

edited 2 days ago

Lee David Chung Lin

4,38031242

asked 2 days ago

EnigmanEnigman

1335

asked 2 days ago

EnigmanEnigman

1335