- Central Limit Theorem - CLT
- A statistical theory that states that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population. Furthermore, all of the samples will follow an approximate normal distribution pattern, with all variances being approximately equal to the variance of the population divided by each sample's size.
This statistical theory is very useful when examining returns for a given stock or index because it simplifies many analysis procedures. An appropriate sample size depends on the data available, but generally speaking, having a sample size of at least 50 observations is sufficient. Due to the relative ease of generating financial data, it is often easy to produce much larger sample sizes.
Investment dictionary. Academic. 2012.
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central limit theorem — Statistics. any of several theorems stating that the sum of a number of random variables obeying certain conditions will assume a normal distribution as the number of variables becomes large. [1950 55] * * * In statistics, any of several… … Universalium
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central limit theorem — noun a) 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. b) Any of various similar theorems … Wiktionary
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