The asymptotic equipartition property is a consequence of the weak version of this law, which is often proven using Chebyshev's inequality and was defined by Ernst Fischer.  
The asymptotic equipartition property is a consequence of the weak version of this law, which is often proven using Chebyshev's inequality and was defined by Ernst Fischer.  The strong version, defined by Friedrich Riesz, implies the sample average converges almost surely to the mean ? [myou].  For 10 points - name the statistical law proven by Jakob Bernoulli whose principle is often erroneously labeled the "law of averages," which states if the sequence x-sub-n of n random variables have finite mean ?, then sequence x-sub-n over n tends to infinity.
The asymptotic equipartition property is a consequence of the weak version of this law, which is often proven using Chebyshev's inequality and was defined by Ernst Fischer.  
Law of Large Numbers