- 가측공간,measurable_space
두 '''가측공간,measurable_space''' $(\Omega_1,\mathcal{A}_1)\textrm{ and }(\Omega_2,\mathcal{A}_2)$ 가 있다 하자.
https://mathworld.wolfram.com/BorelSigma-Algebra.html ... "보렐 시그마 대수" Ndict:"보렐 시그마 대수" Ggl:"보렐 시그마 대수" "Borel sigma algebra" Ggl:"Borel sigma algebra" } - [[가측공간,measurable_space]]
- 가측집합,measurable_set
[[가측공간,measurable_space]]
- 가측함수,measurable_function
[[가측공간,measurable_space]]
- 계량,metric
[[측도,measure]] { rel [[측도론,measure_theory]] [[측도공간,measure_space]] [[가측성,measurability]] [[가측공간,measurable_space]] [[시그마대수,sigma-algebra]] }
- 공간,space
[[가측공간,measurable_space]]
- 측도공간,measure_space
정의는 [[가측공간,measurable_space]]
nonnegative_measure 를 possess한(가진??) [[가측공간,measurable_space]]이 바로 '''측도공간'''.
그래서, '''측도공간'''은 [[가측공간,measurable_space]] 하나와 [[측도,measure]] 하나로 구성.
i.e. [[가측공간,measurable_space]]과 [[측도,measure]]로 구성.
- 확률변수,random_variable
두 [[가측공간,measurable_space]] $(\Omega_1,\mathcal{A}_1)\textrm{ and }(\Omega_2,\mathcal{A}_2)$ 가 있다 하자.
[[가측공간,measurable_space]] $(S',\mathbb{S}')$ (known as [[상태공간,state_space]])
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