Student3 distribution

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See also: Student3 equations


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Format: VoseStudent3(μ,σ,n, U)

Examples of two Student3 distributions are given below:

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Uses

The Student3 (or 3-parameter Student) distribution is similar to the Student-t distribution, but it allows for more flexibility as the mean can be different from zero and the standard deviation is specified as a parameter and thus not dependent on the number of degrees of freedom (ν) as in the case of a Student distribution.

The 3-parameter Student distribution is also used in situations to model variables that look normally distributed, but have longer tails (meaning a higher probability of seeing more extreme values) than the Normal distribution.

Comments

The Student3 distribution is obtained from the classical Student distribution by rescaling and shifting it in order to have a mean and standard deviation as specified.

VoseFunctions for this distribution

VoseStudent3 generates values from this distribution or calculates a percentile

VoseStudent3Object constructs a distribution object for this distribution

VoseStudentProb returns the probability density or cumulative distribution function for this distribution

VoseStudentProb10 returns the log10 of the probability density or cumulative distribution function  

VoseStudentFit generates values from this distribution fitted to data, or calculates a percentile from the fitted distribution

VoseStudentFitObject constructs a distribution object of this distribution fitted to data

VoseStudentFitP returns the parameters of this distribution fitted to data