Abstract
The convergence rate problem for probabilities of moderate deviations is completely solved by giving a necessary and sufficient condition for the existence of the absolute moment of order $c^2 + 2, c > 0$, in terms of probabilities of moderate deviations. Furthermore, a result on the rate of convergence of probabilities of moderate deviations is given under a weaker moment condition than in Rubin and Sethuraman (1965).
Citation
R. Michel. "Results on Probabilities of Moderate Deviations." Ann. Probab. 2 (2) 349 - 353, April, 1974. https://doi.org/10.1214/aop/1176996719
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