Central Limit Theorem
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Related to Lyapunov condition: Central limit theorem, Lindeberg-Levy Central Limit Theorem
Central Limit Theorem
The Law of Large Numbers states that as a sample of independent, identically distributed random numbers approaches infinity, its probability density function approaches the normal distribution. See: Normal Distribution.
Central Limit Theorem
In statistics, a theory stating that as the sample size of identically distributed, random numbers approaches infinity, it is more likely that the distribution of the numbers will approximate normal distribution. That is, the mean of all samples within that universe of numbers will be roughly the mean of the whole sample.