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  • 标题:Large and moderate deviations for the left random walk on GLd(ℝ)
  • 本地全文:下载
  • 作者:Christophe Cuny ; Jérôme Dedecker ; Florence Merlevède
  • 期刊名称:Latin American Journal of Probability and Mathematical Statistics
  • 电子版ISSN:1980-0436
  • 出版年度:2017
  • 卷号:XIV
  • 页码:503-527
  • 出版社:Instituto Nacional De Matemática Pura E Aplicada
  • 摘要:Using martingale methods, we obtain some upper bounds for large andmoderate deviations of products of independent and identically distributed elementsof GLd(R). We investigate all the possible moment conditions, from superexponentialmoments to weak moments of order p > 1, to get a complete picture ofthe situation. We also prove a moderate deviation principle under an appropriatetail condition.
  • 关键词:Random walk; deviation inequalities; cocycle
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