Petunin, Yu. I.; Mamunya, L. A.; Min’ko, A. A.; Kuritsyn, Yu. G.; Yakut, L. I. Confidence limits containing the underlying distributed mass of the values of the general population. I. (English. Russian original) Zbl 0788.62041 Theory Probab. Math. Stat. 44, 113-116 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 115-118 (1991). Summary: The problem of constructing confidence limits for the underlying distribution mass and the median is investigated by means of moments and order statistics. Formulas for estimating the significance level of these intervals are obtained. MSC: 62G15 Nonparametric tolerance and confidence regions 60E15 Inequalities; stochastic orderings 62G30 Order statistics; empirical distribution functions Keywords:confidence limits; median; moments; order statistics; significance level PDFBibTeX XMLCite \textit{Yu. I. Petunin} et al., Theory Probab. Math. Stat. 44, 113--116 (1991; Zbl 0788.62041); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 115--118 (1991)