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most citedSelf-normalized Cramér type moderate deviations for martingales and applications

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math.PR2021

Self-normalized Cramer moderate deviations for a supercritical Galton-Watson process

Xiequan Fan, Qi-Man Shao

Let be a supercritical Galton-Watson process. Consider the Lotka-Nagaev estimator for the offspring mean. In this paper, we establish self-normalized Cramér type m…