Meaning of central limit theorem | Babel Free

Definitions

1. Alternative letter-case form of central limit theorem (“the theorem that states that if the sum of independent identically distributed random variables has a finite variance, then it will be approximately normally distributed”)
   alt-of
2. The theorem that states that if the sum of independent identically distributed random variables has a finite variance, then it will be approximately normally distributed.
   singular, singular-only
3. Any of various similar theorems.
   countable

Equivalents

Examples

“Laplace continued his research⟳ throughout France’s political upheavals. In 1810 he announced the central limit⟳ theorem, one of the great scientific and statistical discoveries of all time. It asserts that, with some exceptions, any average of a large number⟳ of similar terms will have⟳ a normal, bell-shaped distribution. Suddenly, the easy-to-use bell curve was a real mathematical construct. Laplace’s probability of causes had limited him to binomial problems, but his final proof of the central limit⟳ theorem let⟳ him deal⟳ with almost any kind of data. In providing the mathematical justification for taking the mean⟳ of many data points, the central limit⟳ theorem had a profound effect on the future of Bayes’ rule⟳. At the age of 62, Laplace, its chief creator and proponent, made a remarkable about-face. He switched allegiances to an alternate, frequency-based approach⟳ he had also developed. From 1811 until his death 16 years later Laplace relied primarily on this approach⟳, which twentieth-century theoreticians would use⟳ to almost obliterate Bayes’ rule⟳.”

CEFR level