Sharpening stability estimates for Cramér's theorem
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Abstract
Estimates of stability in Cramér's theorem on the decomposition of the normal law due to N. A. Sapogov and V. M. Zolotarev are improved somewhat.
Keywords
Stability Estimate Sharpen Stability Estimate
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Literature cited
- 1.Yu. V. Linnik and I. V. Ostrovskii, Decomposition of Random Variables and Vectors, Amer. Math. Soc., Providence, Rhode Island (1977).Google Scholar
- 2.V. M. Zolotarev, “Estimating the difference of distributions in the Lévy metric,” Tr. Mat. Inst. im. V. A. Steklova,112, 224–231 (1971).Google Scholar
Copyright information
© Plenum Publishing Corporation 1981