Bajramov, I. G.; Petunin, Yu. I. Structure of invariant confidence intervals containing the main distributed mass. (English. Russian original) Zbl 0713.62051 Theory Probab. Appl. 35, No. 1, 15-26 (1990); translation from Teor. Veroyatn. Primen. 35, No. 1, 15-26 (1990). Based upon order statistics, confidence intervals are considered which contain well defined parts of the probability mass of a distribution and which are invariant under changes of the distribution within the class of all continuous distributions. The respective possible confidence levels are shown to be rational numbers. Reviewer: W.-D.Richter Cited in 7 Documents MSC: 62G15 Nonparametric tolerance and confidence regions 62G30 Order statistics; empirical distribution functions Keywords:invariant confidence intervals; probability content; order statistics; class of all continuous distributions; confidence levels; rational numbers PDF BibTeX XML Cite \textit{I. G. Bajramov} and \textit{Yu. I. Petunin}, Theory Probab. Appl. 35, No. 1, 15--26 (1990; Zbl 0713.62051); translation from Teor. Veroyatn. Primen. 35, No. 1, 15--26 (1990) Full Text: DOI