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

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 نشر من قبل Xiequan Fan
 تاريخ النشر 2021
  مجال البحث الاحصاء الرياضي
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Let $(Z_n)_{ngeq0}$ be a supercritical Galton-Watson process. Consider the Lotka-Nagaev estimator for the offspring mean. In this paper, we establish self-normalized Cram{e}r type moderate deviations and Berry-Esseens bounds for the Lotka-Nagaev estimator. The results are believed to be optimal or near optimal.



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