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

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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… Click to show full abstract

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.

Keywords: sums bounded; deviations sums; gamma distribution; bounded functions; large deviations

Journal Title: Journal of Mathematical Sciences
Year Published: 2017

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