The Central Limit Theorem and Poincare-Type Inequalities
Chen, Louis H. Y.
Ann. Probab., Tome 16 (1988) no. 4, p. 300-304 / Harvested from Project Euclid
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We use Poincare-type inequalities to prove the sufficiency and necessity of the Lindeberg condition in the central limit theorem.
Publié le : 1988-01-14
Classification:  Central limit theorem,  Poincare-type inequalities,  characterization of the normal distribution,  60F05,  60E15,  26D10 
@article{1176991902,
     author = {Chen, Louis H. Y.},
     title = {The Central Limit Theorem and Poincare-Type Inequalities},
     journal = {Ann. Probab.},
     volume = {16},
     number = {4},
     year = {1988},
     pages = { 300-304},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176991902}
}

Chen, Louis H. Y. The Central Limit Theorem and Poincare-Type Inequalities. Ann. Probab., Tome 16 (1988) no. 4, pp.  300-304. http://gdmltest.u-ga.fr/item/1176991902/