[{"abstract":[{"lang":"eng","text":"The concentration of empirical measures is studied for dependent data, whose joint distribution satisfies Poincare-type or logarithmic Sobolev inequalities. The general concentration results are then applied to spectral empirical distribution functions associated with high-dimensional random matrices."}],"date_created":"2011-03-09T10:50:59Z","language":[{"iso":"eng"}],"publication":"Bernoulli","publication_status":"published","year":"2010","external_id":{"isi":["000285533700023"]},"status":"public","volume":16,"page":"1385-1414","title":"Concentration of empirical distribution functions with applications to non-i.i.d. models","department":[{"_id":"10020"}],"isi":1,"keyword":["random matrices","logarithmic Sobolev inequalities","empirical measures","Poincare-type","inequalities","spectral distributions"],"doi":"10.3150/10-BEJ254","type":"journal_article","publication_identifier":{"issn":["1350-7265"]},"issue":"4","date_updated":"2019-05-10T10:30:39Z","publisher":"Bernoulli Society for Mathematical Statistics and Probability","citation":{"wels":"Bobkov, S. G.; Götze, F. (2010): Concentration of empirical distribution functions with applications to non-i.i.d. models *Bernoulli*,16:(4): 1385-1414.","angewandte-chemie":"S. G. Bobkov, and F. Götze, “Concentration of empirical distribution functions with applications to non-i.i.d. models”, *Bernoulli*, **2010**, *16*, 1385-1414.","bio1":"Bobkov SG, Götze F (2010)

Concentration of empirical distribution functions with applications to non-i.i.d. models.

Bernoulli 16(4): 1385-1414.","frontiers":"Bobkov, S. G., and Götze, F. (2010). Concentration of empirical distribution functions with applications to non-i.i.d. models. *Bernoulli* 16, 1385-1414.","chicago":"Bobkov, S. G., and Götze, Friedrich. 2010. “Concentration of empirical distribution functions with applications to non-i.i.d. models”. *Bernoulli* 16 (4): 1385-1414.

","default":"Bobkov SG, Götze F (2010)

*Bernoulli* 16(4): 1385-1414.","mla":"Bobkov, S. G., and Götze, Friedrich. “Concentration of empirical distribution functions with applications to non-i.i.d. models”. *Bernoulli* 16.4 (2010): 1385-1414.","ieee":" S.G. Bobkov and F. Götze, “Concentration of empirical distribution functions with applications to non-i.i.d. models”, *Bernoulli*, vol. 16, 2010, pp. 1385-1414.","apa":"Bobkov, S. G., & Götze, F. (2010). Concentration of empirical distribution functions with applications to non-i.i.d. models. *Bernoulli*, *16*(4), 1385-1414. doi:10.3150/10-BEJ254","harvard1":"Bobkov, S.G., & Götze, F., 2010. Concentration of empirical distribution functions with applications to non-i.i.d. models. *Bernoulli*, 16(4), p 1385-1414.","apa_indent":"Bobkov, S. G., & Götze, F. (2010). Concentration of empirical distribution functions with applications to non-i.i.d. models. *Bernoulli*, *16*(4), 1385-1414. doi:10.3150/10-BEJ254

","ama":"Bobkov SG, Götze F. Concentration of empirical distribution functions with applications to non-i.i.d. models. *Bernoulli*. 2010;16(4):1385-1414.","lncs":" Bobkov, S.G., Götze, F.: Concentration of empirical distribution functions with applications to non-i.i.d. models. Bernoulli. 16, 1385-1414 (2010).","dgps":"Bobkov, S.G. & Götze, F. (2010). Concentration of empirical distribution functions with applications to non-i.i.d. models. *Bernoulli*, *16*(4), 1385-1414. Bernoulli Society for Mathematical Statistics and Probability. doi:10.3150/10-BEJ254.

"},"intvolume":" 16","user_id":"89573","_id":"2003517","author":[{"last_name":"Bobkov","first_name":"S. G.","full_name":"Bobkov, S. G."},{"first_name":"Friedrich","full_name":"Götze, Friedrich","id":"10518","last_name":"Götze"}],"article_type":"original","quality_controlled":"1"}]