Distributions

Binomial Distribution
concerned with k from n observations with probability p

or some n Bernoulli trials.

Continuous distributions
characterised by a probability density functions pdf

the mean is given by $$E(X) = \sum$$

The standard normal distribution
Z ~ N(0,1) on R

Pareto Distribution
The Pareto distribution is a power law probability distribution that is named after the Italian economist Vilfredo Pareto. It is sometimes known as the Bradford distribution.

It has 2 parameters$$ x_m $$and $$ \alpha > 0$$

T-distribution
known as Student's t distribution

parameter v>0 denotd t(v)

pdf is

Power-law distributions
power law is a mathematical relationship between two quantities. When the frequency of an event varies as a power of some attribute of that event (e.g. its size), the frequency is said to follow a power law.

Power distributions
Pareto distribution (continuous) Zeta distribution (discrete) Yule–Simon distribution (discrete) Student's t-distribution (continuous), of which the Cauchy distribution is a special case