“Kolmogorov consistency conditions”的概念、定义、翻译、参考文献-科学参考

For each finite subset F of the real numbers or integers, let P_F denote 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_F2 to 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 [´kȯl·mǝ`gȯ·rȯf kǝn`sis·tǝn·sē kǝn´dish·ǝnz] ^MATHEMATICS For each finite subset F of the real numbers or integers, let P_F denote 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_F2 to those sets which are independent of the coordinates in F₂ which are not in F₁ coincides with P_F1.
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