Doukhan, Paul; Portal, Frédéric Moments de variables aléatoires mélangeantes. (English) Zbl 0544.62022 C. R. Acad. Sci., Paris, Sér. I 297, 129-132 (1983). This note proves several majorization inequalities for moments of sums of \(\phi\)-mixing or strongly mixing (but not necessarily stationary) random variables. The authors also briefly discuss applications to empirical distribution functions for mixing sequences and to kernel estimators. Reviewer: E.Slud Cited in 1 ReviewCited in 8 Documents MSC: 62E99 Statistical distribution theory 60E15 Inequalities; stochastic orderings 62G30 Order statistics; empirical distribution functions 62G05 Nonparametric estimation 60G12 General second-order stochastic processes Keywords:Khinchin-Kahane type inequalities; phi mixing sequences; majorization inequalities; moments of sums; strongly mixing; empirical distribution functions; kernel estimators PDFBibTeX XMLCite \textit{P. Doukhan} and \textit{F. Portal}, C. R. Acad. Sci., Paris, Sér. I 297, 129--132 (1983; Zbl 0544.62022)