seekercas.blogg.se - Wolfram mathematica student

The Student distribution was first devised by English statistician William Gosset (published under the pseudonym "Student") in 1908.

(This behavior can be made quantitatively precise by analyzing the SurvivalFunction of the distribution.) The one-parameter form StudentTDistribution is equivalent to StudentTDistribution and is sometimes referred to as "the" Student distribution, while the three-parameter form StudentTDistribution is sometimes referred to as the generalized Student distribution.

In addition, the tails of the PDF are "fat", in the sense that the PDF decreases algebraically rather than decreasing exponentially for large values of. a global maximum), though its overall shape (its height, its spread, and the horizontal location of its maximum) is determined by the values of μ, σ, and ν. In general, the PDF of a Student distribution is unimodal with a single "peak" (i.e. StudentTDistribution represents a continuous statistical distribution defined and supported over the set of real numbers and parametrized by a real number μ (called a "location parameter") and by positive real numbers σ and ν (called a "scale parameter" and the "degrees of freedom", respectively), which together determine the overall behavior of its probability density function (PDF).