Standard Student’s t distribution with df degrees of freedom.
A special case of the hyperbolic distribution. As df gets large, the result resembles that of the standard normal distribution (standard_normal).
df : int
size : int or tuple of ints, optional
samples : ndarray or scalar
The probability density function for the t distribution is
The t test is based on an assumption that the data come from a Normal distribution. The t test provides a way to test whether the sample mean (that is the mean calculated from the data) is a good estimate of the true mean.
The derivation of the t-distribution was forst published in 1908 by William Gisset while working for the Guinness Brewery in Dublin. Due to proprietary issues, he had to publish under a pseudonym, and so he used the name Student.
|[R223]||Dalgaard, Peter, “Introductory Statistics With R”, Springer, 2002.|
|[R224]||Wikipedia, “Student’s t-distribution” http://en.wikipedia.org/wiki/Student’s_t-distribution|