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Mathematica > Continuous Statistical Distributions >

Built-in Mathematica Symbol

StudentTDistribution

]
represents a Student t distribution with

degrees of freedom.

The probability density for value x in a Student t distribution with degrees of freedom is proportional to . »

For integer , the Student t distribution gives the distribution of the deviation from the true mean of the observed mean for a sample of values from a normal distribution, normalized by standard deviation of the sample.

StudentTDistribution can be used with such functions as Mean, CDF and RandomReal. »

The mean and variance of a Student t distribution:

The probability density function depends on the Beta function:

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