Kolmogorov consistency conditions

[‚kȯl·mə′gȯ·rȯf kən′sis·tən·sē kən‚dish·ənz] (mathematics) For each finite subset F of the real numbers or integers, let P_Fdenote a probability measure defined on the Borel subsets of the cartesian product of k (F) copies of the real line indexed by elements in F, where k (F) denotes the number of elements in F ; the family {P_F} of measures satisfy the Kolmogorov consistency conditions if given any two finite sets F₁ and F₂ with F₁ contained in F₂, the restriction of P_F₂to those sets which are independent of the coordinates in F₂ which are not in F₁ coincides with P_F₁.

单词	kolmogorov consistency conditions
释义	Kolmogorov consistency conditions Kolmogorov consistency conditions [‚kȯl·mə′gȯ·rȯf kən′sis·tən·sē kən‚dish·ənz] (mathematics) For each finite subset F of the real numbers or integers, let P_Fdenote a probability measure defined on the Borel subsets of the cartesian product of k (F) copies of the real line indexed by elements in F, where k (F) denotes the number of elements in F ; the family {P_F} of measures satisfy the Kolmogorov consistency conditions if given any two finite sets F₁ and F₂ with F₁ contained in F₂, the restriction of P_F₂to those sets which are independent of the coordinates in F₂ which are not in F₁ coincides with P_F₁.
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