It can also be shown that it approaches the multinomial distribution as \ alpha _ { 0 } approaches infinity.
12.
In fact, the principle involved here is described in fair detail in the article on the Dirichlet-multinomial distribution.
13.
So the multinomial distribution can model " n " independent rolls of a " k " sided die.
14.
On the other hand, the "'categorical distribution "'is a special case of the multinomial distribution.
15.
Pearson showed that the chi-squared distribution, the sum of multiple normal distributions, was such an approximation to the multinomial distribution
16.
This approximation arises as the true distribution, under the null hypothesis, if the expected value is given by a multinomial distribution.
17.
In Bayesian statistics, the Dirichlet distribution is the conjugate prior distribution of the categorical distribution ( and also the multinomial distribution ).
18.
They noted that the use of the multinomial distribution may be more appropriate than the use of a Poisson distribution for such data.
19.
These contributions are weighted according to the probability of each diploid-diploid combination, which follows a multinomial distribution with 3 } }.
20.
In the chance variable " Trial data ", trial data is simulated as a Monte Carlo sample from a Multinomial distribution.
