ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Collection of sets
▼ Set union
▼ Successor set
▼ Inductive set
▼ Set of inductive sets
▼ Set of natural numbers
▼ Set of integers
▼ Set of rademacher integers
▼ Rademacher integer
▼ Rademacher random integer
▼ Standard rademacher random integer
▼ Standard gaussian random real number
▼ Chi random unsigned real number
▼ Chi-squared random unsigned real number
Definition D4865
Fisher random unsigned real number
Formulation 2
Let $X \in \text{ChiSquared}(N)$ and $Y \in \text{ChiSquared}(M)$ each be a D212: Chi-squared random unsigned real number such that
(i) $X, Y$ is an D2713: Independent random collection
A D5452: Random unsigned real number $Z \in \text{Random} [0, \infty)$ is a Fisher random unsigned real number with parameters $N$ and $M$ if and only if \begin{equation} Z \overset{d}{=} \frac{M}{N} \frac{X}{Y} \end{equation}