On a Measure of Stochastic Dependence
Teoriâ veroâtnostej i ee primeneniâ, Tome 7 (1962) no. 3, pp. 312-322
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An explicit expression is found for the amount of information (in the sense of A. N. Kolmogorov) about one $\sigma$-subalgebra contained in another $\sigma$-subalgebra of an abstract algebra with a probability measure. The formula obtained is generalized to a system of subalgebras of any cardinal number. The generalized quantity is a natural measure of the amount of stochastic dependence an such a system.