The Central Limit Theorem and Poincare-Type Inequalities

Louis H. Y. Chen

doi:10.1214/aop/1176991902

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Home > Journals > Ann. Probab. > Volume 16 > Issue 1 > Article

January, 1988 The Central Limit Theorem and Poincare-Type Inequalities

Louis H. Y. Chen

Ann. Probab. 16(1): 300-304 (January, 1988). DOI: 10.1214/aop/1176991902

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Abstract

We use Poincare-type inequalities to prove the sufficiency and necessity of the Lindeberg condition in the central limit theorem.

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Louis H. Y. Chen. "The Central Limit Theorem and Poincare-Type Inequalities." Ann. Probab. 16 (1) 300 - 304, January, 1988. https://doi.org/10.1214/aop/1176991902