Bernoulli Society for Mathematical Statistics and Probability, Bernoulli, 3(15), 2009
DOI: 10.3150/08-bej177
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We correct a condition in a result of Johnson and Samworth (Bernoulli 11 (2005) 829--845) concerning convergence to stable laws in Mallows distance. We also give an improved version of this result, setting it in the more familiar context of a Lindeberg-like condition. Comment: Published in at http://dx.doi.org/10.3150/08-BEJ177 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)