Multinomial. Then the joint distribution of is a multinomial distribution and is given by the corresponding coefficient of the multinomial series. For n independent trials each of which leads to a success for exactly one of k categories with each category having a given fixed success probability the multinomial distribution gives the.
These multinomial data are often sparsely reported with many units reporting a total but not providing the breakdown of the total into the subcategories. Number of ways to select according to a distribution. For n independent trials each of which leads to a success for exactly one of k categories with each category having a given fixed success probability the multinomial distribution gives the.
The multinomial coefficients have a direct combinatorial interpretation as the number of ways of depositing n distinct objects into m distinct bins with k 1 objects in the first bin k 2 objects in the second bin and so on.
The multinomial theorem describes how to expand the power of a sum of more than two terms. For n independent trials each of which leads to a success for exactly one of k categories with each category having a given fixed success probability the multinomial distribution gives the. American heritage dictionary of the english language fifth edition. What are synonyms for multinomial.