Explicit formulas for the joint third and fourth central moments of the multinomial distribution
arXiv:2006.09059
Abstract
We give the first explicit formulas for the joint third and fourth central moments of the multinomial distribution, by differentiating the moment generating function. A general formula for the joint factorial moments was previously given in Mosimann (1962).
arXiv comment7 pages, 0 figure
References in corpus (5)
- Asymptotic properties of Dirichlet kernel density estimators
- Asymptotic properties of Bernstein estimators on the simplex
- Complete monotonicity of multinomial probabilities and its application to Bernstein estimators on the simplex
- A precise local limit theorem for the multinomial distribution and some applications
- On the boundary properties of Bernstein estimators on the simplex