Dunker, T.; Lifshits, M. A.; Linde, W. Small deviation probability of sums of independent random variables. (English) Zbl 0902.60039 Eberlein, Ernst (ed.) et al., High dimensional probability. Proceedings of the conference, Oberwolfach, Germany, August 1996. Basel: Birkhäuser. Prog. Probab. 43, 59-74 (1998). This paper concerns the behaviour of \(\sum^\infty_{n=1} \varphi (n)Z_n\) near zero, where \(\{\varphi (n)\}\) is a summable sequence of positive reals and \(\{Z_n\}\) are nonnegative i.i.d. random variables; a so-called small deviation problem.For the entire collection see [Zbl 0883.00024]. Reviewer: A.Gut (Uppsala) Cited in 31 Documents MSC: 60G50 Sums of independent random variables; random walks 60F10 Large deviations PDFBibTeX XMLCite \textit{T. Dunker} et al., Prog. Probab. 43, 59--74 (1998; Zbl 0902.60039)