Kurchenko, O. O. Some inequalities for the Orlicz norm of a linear form of independent pre-Gaussian random variables. (English. Ukrainian original) Zbl 0861.60028 Theory Probab. Math. Stat. 50, 99-102 (1995); translation from Teor. Jmovirn. Mat. Stat. 50, 97-100 (1994). Summary: Inequalities are derived for the Orlicz norm of a linear combination of independent pre-Gaussian random variables in the Orlicz space \(L_u(\Omega)\), where \(u(x)= \text{ch }x- 1\), \(x\in{\mathbf R}\). The case of a centered quadratic form of Gaussian random variables is considered. Cited in 1 Review MSC: 60E15 Inequalities; stochastic orderings Keywords:Orlicz norm; Orlicz space; quadratic form of Gaussian random variables PDFBibTeX XMLCite \textit{O. O. Kurchenko}, Theory Probab. Math. Stat. 50, 1 (1994; Zbl 0861.60028); translation from Teor. Jmovirn. Mat. Stat. 50, 97--100 (1994)