Large Deviations for Sums of Bounded Functions of a Normalized Sample Under Gamma Distribution

被引：0

作者：

Tchirina A.V. ^{[1
]}

机构：

[1] St. Petersburg State Electrotechnical University “LETI”, National Research University “Higher School of Economics”, St. Petersburg

来源：

Journal of Mathematical Sciences | 2017年 / 225卷 / 5期

关键词：

D O I：

10.1007/s10958-017-3499-9

中图分类号：

学科分类号：

摘要：

We study large deviations of a widely used class of scale-free statistics under gamma distribution. We show that the constraints on the functions defining these statistics can be relaxed with respect to the previously obtained result. The result is applied to a recent exponentiality test. Bibliography: 7 titles. © 2017, Springer Science+Business Media, LLC.

引用

页码：833 / 840

页数：7

共 44 条

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SCIENCE CHINA-MATHEMATICS, 2017, 60 (12) : 2465 - 2480
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XieQuan Fan
Science China Mathematics, 2017, 60 : 2465 - 2480
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FAN XieQuan
Science China Mathematics, 2017, 60 (12) : 2465 - 2480
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[8] Large deviations for a class of scale-free statistics under the gamma distribution
Tchirina A.V.
Journal of Mathematical Sciences, 2005, 128 (1) : 2640 - 2655
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Feng, Xinwei
STATISTICS & PROBABILITY LETTERS, 2017, 123 : 77 - 83
[10] SELF-NORMALIZED LARGE DEVIATIONS FOR SUMS INDEXED BY THE GENERATIONS OF A GALTON-WATSON PROCESS
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MATHEMATICAL FOUNDATIONS OF COMPUTING, 2024, 7 (01): : 38 - 51

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