X-Nico

unusual facts about Dirichlet-multinomial distribution


Dirichlet-multinomial distribution

It is also called the Dirichlet compound multinomial distribution (DCM) or multivariate Pólya distribution (after George Pólya).


Copeland–Erdős constant

The constant is irrational; this can be proven with Dirichlet's theorem on arithmetic progressions or Bertrand's postulate (Hardy and Wright, p. 113) or Ramare's theorem that every even integer is a sum of at most six primes.

Dirichlet's test

In turn, B k(a k - a {k+1})"?title=Comparison test">Comparison test.

Dirichlet's theorem

Dirichlet's theorem may refer to any of several mathematical theorems due to Peter Gustav Lejeune Dirichlet.

Gerard Washnitzer

Washnitzer studied at Princeton University under Emil Artin and in 1950 received a Ph.D. (A Dirichlet Principle for analytic functions of several complex variables) under the supervision of Salomon Bochner.

Rado graph

Then, for any sets U and V, by the Chinese remainder theorem, the numbers that are quadratic resides modulo every prime in U and nonresidues modulo every prime in V form a periodic sequence, so by Dirichlet's theorem on primes in arithmetic progressions this number-theoretic graph has the extension property.

Vorlesungen über Zahlentheorie

Dirichlet does not explicitly recognise the concept of the group that is central to modern algebra, but many of his proofs show an implicit understanding of group theory.


see also