Student's t-distribution
Videos
In probability theory and statistics, Student's t distribution t ν is a continuous probability distribution that generalizes the standard normal distribution. Like the latter, it is symmetric around z
Statistician William Sealy Gosset, known as "Student"
Gamma function
Videos
In mathematics, the gamma function is the most common extension of the factorial function to complex numbers. First studied by Daniel Bernoulli, the gamma function Γ is defined for all complex numbers
Student's t-distribution
…function (PDF) given by f ( t ) = Γ ( ν + 1 2 ) π ν Γ ( ν 2 ) ( 1 + t 2 ν ) − ( ν + 1 ) / 2 , where ν is the number of degrees of freedom, and Γ is the gamma function. This may also be written as f ( t ) = 1 ν B ( 1 2 , ν 2 ) ( 1 + t 2 ν ) − ( ν + 1 ) / 2 , where B is the beta function. In particular, for positive…
Daniel Bernoulli's letter to Christian Goldbach (Oct 6, 1729)