T distribution 10df enhanced.svg
December 2020
llei de probabilitat
where is the modified Bessel function of the second kind
ciągły rozkład prawdopodobieństwa
center
Wahrscheinlichkeitsverteilung
for otherwise undefined
for for otherwise undefined
веројатносна распределба
rozdělení pravděpodobnosti
normalki banatutako populazio baten batezbestekoa lagin txikien bidez estimatzeak sortutako arazoari heltzeko erabiltzen den banaketa estatistikoa
distribución de probabilidade
dewi
T distribution 30df enhanced.svg
loi de probabilité
Student distribution
where is the inverse standardized Student CDF, and is the standardized Student t PDF.
T distribution 5df enhanced.svg
It is not clear what is meant by "fixed" in this context. An older and more to-the-point source demonstrates that the Student's t distribution with d.o.f. is the maximum entropy solution to a specific problem, for which, in addition to one more constraint, ℰ{ ln} equals some constant which is predetermined for every .
density
Student's
T distribution 1df enhanced.svg
where : is the digamma function, : is the beta function
Density of the distribution for 1, 2, 3, 5, 10, and 30 degrees of freedom compared to the standard normal distribution .
where is the hypergeometric function
distribuzione di probabilità continua
T distribution 2df enhanced.svg
sandsynlighedsfordeling
機率分布
for ∞ for otherwise undefined
probability distribution
for ,
degrees of freedom
undefined
The source does not obviously state this, although it touches upon something related.
Previous plots shown in green.
T distribution 3df enhanced.svg
Distribució t de Student
司徒頓t分布
T-розподіл Стьюдента
T分布
Distribución t de Student
스튜던트 t 분포
Studentsche t-Verteilung
Studentovo rozdělení
Distribuição t de Student
Students t-fördelning
Κατανομή t-Student
Rozkład Studenta
توزيع ستيودنت الاحتمالي
Distribuzione t di Student
Loi de Student
Распределение Стьюдента
Studenten t banaketa
Studentverdeling
Student's t-distribution