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An Inequality for Large Deviation Probabilities of Sums of Bounded i.i.d. Random Variables

✍ Scribed by V. Bentkus

Book ID: 110304183
Publisher: Springer
Year: 2001
Tongue: English
Weight: 68 KB
Volume: 41
Category: Article
ISSN: 0363-1672
DOI: 10.1023/a:1011668015105

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📜 SIMILAR VOLUMES

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The corresponding moderate deviation principle follows. The Central Limit theorem has been recently obtained by Pang, Lin and Hwang [T.X. Pang, Z.Y. Lin, K.S. Hwang, Asymptotics for self-normalized random products of sums of i.i.d. random variables, J. Math. Anal. Appl. 334 (2007) 1246-1259].

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✍ Soo Hak Sung 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 87 KB

Strong laws of large numbers are established for the weighted sums of i.i.d. random variables which have higher-order moment condition. One of the results of Bai and Cheng (2000, Statist. Probab. Lett. 46, 105 -112) is extended.