| 单词 | central limit theorem |
| 释义 | > as lemmascentral limit theorem central limit theorem n. [after German zentraler Grenzwertsatz (G. Pólya 1920, in Math. Zeitschr. 8 171)] Statistics a theorem stating that the distribution of the sum of n terms of a given sequence of independent random variables with identical distributions and finite variance approximates a normal distribution with increasing accuracy as n increases. ΚΠ 1931 Ann. Math. Statistics 2 258 According to the Central Limit Theorem of the theory of probability Pn(x) will converge towards a normal distribution when certain conditions are satisfied. 1958 Canad. Jrnl. Math 10 226 If the Central Limit Theorem holds for such a process, the random variables must be independent and identically distributed. 2002 Biometrika 89 732 Chan & Geyer (1994) have shown that geometric ergodicity along with a moment condition on the function g guarantee a central limit theorem. < as lemmas |
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