Cramér moderate deviations for a supercritical Galton-Watson process
share
Let (Z_n)_n≥0 be a supercritical Galton-Watson process. The Lotka-Nagaev estimator Z_n+1/Z_n is a common estimator for the offspring mean.In this paper, we establish some Cramér moderate deviation results for the Lotka-Nagaev estimator via a martingale method. Applications to construction of confidence intervals are also given.
READ FULL TEXT