Cram\'{e}r moderate deviations for a supercritical Galton-Watson process
Probability
2022-09-20 v3 Statistics Theory
Statistics Theory
Abstract
Let be a supercritical Galton-Watson process. The Lotka-Nagaev estimator is a common estimator for the offspring mean.In this paper, we establish some Cram\'{e}r moderate deviation results for the Lotka-Nagaev estimator via a martingale method. Applications to construction of confidence intervals are also given.
Cite
@article{arxiv.2109.12374,
title = {Cram\'{e}r moderate deviations for a supercritical Galton-Watson process},
author = {Paul Doukhan and Xiequan Fan and Zhi-Qiang Gao},
journal= {arXiv preprint arXiv:2109.12374},
year = {2022}
}