Multinomial Distribution Multinomial Examples. Multinomial and categorical infer the number of colors from the size of the probability vector p theta categorical data is in a form where the value tells the index of the color that was picked in a trial. Categorical distribution is similar to the multinomical distribution expect for the output it produces.
A generalization of the binomial distribution from only 2 outcomes tok outcomes. 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. Red a area1 year1 white b area2 year2 blue c area3 year3 d area4 year4 f area5never individual trials are independent.
If a random variable x follows a multinomial distribution then the probability that outcome 1 occurs exactly x1 times outcome 2 occurs exactly x2 times outcome 3 occurs exactly x3 times etc.
Can be found by the following formula. Red a area1 year1 white b area2 year2 blue c area3 year3 d area4 year4 f area5never individual trials are independent. Three card players play a series of matches. The multinomial distribution can be used to compute the probabilities in situations in which there are more than two possible outcomes.
