Cramér moderate deviations for a supercritical Galton–Watson process
نویسندگان
چکیده
Let (Zn)n≥0 be a supercritical Galton–Watson process. The Lotka–Nagaev estimator Zn+1/Zn is common for the offspring mean. In this paper, we establish some Cramér moderate deviation results via martingale method. Applications to construction of confidence intervals are also given.
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ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2023
ISSN: ['1879-2103', '0167-7152']
DOI: https://doi.org/10.1016/j.spl.2022.109711