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What is Central Limit Theorem Explained about?

The Central Limit Theorem states that the distribution of standardized sample averages approaches the standard normal distribution as the sample size increases. The proof involves taking powers of the characteristic function of a standardized random variable. For sums of independent, identically distributed random variables, the characteristic function of the sum is the product of the individual characteristic functions. This allows showing the limiting distribution is normal as the sample size goes to infi

Author

Devi Priya

Language

EN