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}