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Central limit theorem: the cornerstone of modern statistics |

Sang Gyu Kwak, Jong Hae Kim |

Korean J Anesthesiol. 2017;70(2):144-156. Published online February 21, 2017DOI: https://doi.org/10.4097/kjae.2017.70.2.144 |

Central limit theorem: the cornerstone of modern statistics Proof of the Central Limit Theorem The central limit theorem A multivariate central limit theorem for continuous local martingales Moment bounds and central limit theorem for functions of Gaussian vectors A central limit theorem for self-normalized products of random variables Average error in the central limit theorem for the cumulative processes On the central limit theorem in D[0, 1] The central limit theorem for Tukey's 3R smoother A central limit theorem for functionals of the Kaplan—Meier estimator |