Large Deviations for Lacunary Systems Year: 2010 Volume: 4 Issue: 7 1052 - 1054 Pages Authors: Bainian Li Kongsheng Zhang Abstract: Let Xi be a Lacunary System, we established large deviations inequality for Lacunary System. Furthermore, we gained Marcinkiewicz Larger Number Law with dependent random variables sequences. Keywords: Lacunary system larger deviations Locally GeneralizedGaussian Strong law of large numbers.