Lin’kov, Yu. M. Large deviation theorems and their applications. (English. Ukrainian original) Zbl 0939.60017 Theory Probab. Math. Stat. 57, 101-107 (1998); translation from Teor. Jmovirn. Mat. Stat. 57, 96-102 (1997). Large deviations theorems for extended random variables are proved. The obtained theorems are applied to the logarithm of maximum likelihood ratio in the scheme of general binary statistical experiments. Reviewer: A.V.Swishchuk (Kyïv) Cited in 1 Document MSC: 60F10 Large deviations 62F05 Asymptotic properties of parametric tests 62G10 Nonparametric hypothesis testing Keywords:large deviations; hypothesis testing PDFBibTeX XMLCite \textit{Yu. M. Lin'kov}, Teor. Ĭmovirn. Mat. Stat. 57, 96--102 (1997; Zbl 0939.60017); translation from Teor. Jmovirn. Mat. Stat. 57, 96--102 (1997)