Categorical Distribution

GROWING This note is being developed. It is readible but changes are being applied.
cards/statistics/distributions/categorical.md Current Note ID: The unique ID of this note.
#Statistics #Distributions

By generalizing the Bernoulli distribution to $k$ states, we get a categorical distribution. The sample space is $\{s_1, s_2, \cdots, s_k\}$. The corresponding probabilities for each state are $\{p_1, p_2, \cdots, p_k\}$ with the constraint $\sum_{i=1}^k p_i = 1$.

Planted: by ;

References:
  1. Categorical Distribution @ Wikipedia
Similar Articles:
Arcsine Distribution
Arcsine Distribution The PDF is $$ \frac{1}{\pi\sqrt{x(1-x)}} $$ for $x\in [0,1]$. It can also be …
Bernoulli Distribution
Two categories with probability $p$ and $1-p$ respectively. For each experiment, the sample space is …
Beta Distribution
Beta Distribution Interact Alpha Beta mode ((beta_mode)) median ((beta_median)) mean ((beta_mean)) …
Binomial Distribution
The number of successes in $n$ independent events where each trial has a success rate of $p$. PMF: …
cards/statistics/distributions/categorical Links to:
Bernoulli Distribution
Two categories with probability $p$ and $1-p$ respectively. For each experiment, the sample space is …

L Ma (2020). 'Categorical Distribution', Datumorphism, 03 April. Available at: https://datumorphism.leima.is/cards/statistics/distributions/categorical/.