tstat

Student's t mean and variance

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Syntax

[m,v] = tstat(nu)

Description

[m,v] = tstat(nu) returns the mean and variance of the Student's t distribution with nu degrees of freedom.

example

Examples

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Open Live Script

Compute the mean and variance for Student's t distribution with degrees of freedom nu equal to 1 to 30.

nu = reshape(1:30,6,5);
[m,v] = tstat(nu)
m = 6×5

   NaN     0     0     0     0
     0     0     0     0     0
     0     0     0     0     0
     0     0     0     0     0
     0     0     0     0     0
     0     0     0     0     0


v = 6×5

       NaN    1.4000    1.1818    1.1176    1.0870
       NaN    1.3333    1.1667    1.1111    1.0833
    3.0000    1.2857    1.1538    1.1053    1.0800
    2.0000    1.2500    1.1429    1.1000    1.0769
    1.6667    1.2222    1.1333    1.0952    1.0741
    1.5000    1.2000    1.1250    1.0909    1.0714

Note that the mean is undefined for 1 degree of freedom, and variance is undefined for 1 and 2 degrees of freedom.

Input Arguments

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Degrees of freedom for the Student's t distribution, specified as a positive scalar value or an array of positive scalar values.

Example: [9,19,49,99]

Data Types: single | double

Output Arguments

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Mean of the Student's t distribution with the degrees of freedom specified in nu, returned as a scalar value or an array of scalar values. m is the same size as nu.

Variance of the Student's t distribution with the degrees of freedom specified in nu, returned as a scalar value or an array of scalar values. v is the same size as nu.

More About

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Extended Capabilities

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C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Version History

Introduced before R2006a

See Also

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