Distribution Functions

These functions give you access to many statistical distributions. Each distribution has three associated functions:

These functions take many arguments. Some are required (such as the degrees of freedom parameters in Student's t and chi-square), but many have sensible defaults. When an argument has a default, you may leave it out (as long as all later arguments have default values as well). For example, if you want the normal density function, it has defaults for mu and sigma of 0 and 1 respectively. Therefore:

normalDensity(x)

is the same as

normalDensity(x, 0, 1)

that is, mean = 0, standard deviation = 1.

normalDensity(x, 2)

is the same as

normalDensity(x, 2, 1)

that is, mean = 2, standard deviation = 1.

The Distributions

Normal

Student's t

Chi-square

Beta

F distribution

Exponential

Binomial

Poisson

Geometric

Gamma

Cauchy

Hypergeometric

Uniform

Uniform lattice

 

 

Other Categories of Functions