Categorical Distribution - Generalized Bernoulli Distribution - Multinoulli Distribution
- is a discrete probability distribution that describes the possible results of a random variable that can take on one of 𝐾 possible categories, with the probability of each category separately specified
Probability Mass Function
- 𝑃𝑀𝐹(𝑋=𝑥) = 𝑝1[𝑥=𝑐𝑙𝑎𝑠𝑠-1]··· 𝑝𝑘[𝑥=𝑐𝑙𝑎𝑠𝑠-𝑘]
where:
- [𝑥=𝑐𝑙𝑎𝑠𝑠-𝑖] - is the Iverson bracket (i.e. evaluates to 1 when true, otherwise 0)
- 𝑥 is the outcome class in questioin