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Student's t Distribution

Evaluate and generate random samples from Student’s t distribution

Statistics and Machine Learning Toolbox™ offers multiple ways to work with the Student’s t distribution.

Use distribution-specific functions with specified distribution parameters. The distribution-specific functions can accept parameters of multiple Student’s t distributions.
Use generic distribution functions (cdf, icdf, pdf, random) with a specified distribution name ('T') and parameters.

To learn about the Student's t distribution, see Student's t Distribution.

Functions

Generic Functions

`cdf`	Cumulative distribution function
`icdf`	Inverse cumulative distribution function
`pdf`	Probability density function
`random`	Random numbers
`randtool`	Interactive random number generation

Distribution-Specific Functions

`tcdf`	Student's t cumulative distribution function
`tpdf`	Student's t probability density function
`tinv`	Student's t inverse cumulative distribution function
`tstat`	Student's t mean and variance
`trnd`	Student's t random numbers
`ttest`	One-sample and paired-sample t-test
`ttest2`	Two-sample t-test

Topics

Student's t Distribution
The Student’s t distribution is a family of curves depending on a single parameter ν (the degrees of freedom).
Generate Cauchy Random Numbers Using Student's t
This example shows how to use the Student's t distribution to generate random numbers from a standard Cauchy distribution.