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Large deviations in Hooley's theorem

✍ Scribed by A. Laurinčikas


Publisher
Springer
Year
1982
Tongue
English
Weight
269 KB
Volume
22
Category
Article
ISSN
0363-1672

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On large deviation theorem for data-driv
✍ Tadeusz Inglot 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 111 KB

The aim of the paper is to show that for data-driven Neyman's statistic large deviation theorem does not hold. We derive an explicit estimate from below for probabilities of large and moderate deviations. The main tool is a version of a lower exponential inequality recently obtained by Mogulskii.