Probability Distribution

Distribution

Tilda ~ is used in that way means “is distributed as”

Two rules

f(x_i) \ge 0, \forall{i} \in [1,n] \\ \sum_{i=1}^n f(x_i) = 1

Distributions

Uniform distribution

Normal distribution

Bernoulli Distribution

Poisson distribution

Binomial Distribution

Beta Distribution

Empirical Distribution

Gamma Distribution

Normal Gamma Distribution

Dirichlet distribution

Hypergeometric Distribution

Multinomial Distribution

F Distribution

Categorical distribution

NIW

NIG

Multinomial distribution

Distributions Notion

Frequency Distribution

iid

Conjugate Distribution

Heteroskedasticity

Multicollinearity

Endogeneity

Covariate shift

OOD

Distribution Sampling

Transforming Measurement Data Distributions

Transforming Categorical Data Distributions into Frequencies, Proportions, Marginals

Probability distribution metrics

Why are probability distributions denoted with a tilde?

What is the meaning of the tilde when specifying probability distributions? For example: $$Z \sim \mbox{Normal}(0,1).$$

https://stats.stackexchange.com/questions/41306/why-are-probability-distributions-denoted-with-a-tilde

Probability distribution - Wikipedia

In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events (subsets of the sample space).

https://en.wikipedia.org/wiki/Probability_distribution

Probability Distribution

Distribution

Tilda ~ is used in that way means “is distributed as”

Two rules

Transforming Measurement Data Distributions

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