We propose an empirical estimator of the preferential attachment function $f$ in the setting of general sublinear preferential attachment trees. Using a supercritical continuous-time branching process framework, we prove the almost sure consistency of the proposed estimator. We perform simulations to study the empirical properties of our estimators.
"Consistent estimation in general sublinear preferential attachment trees." Electron. J. Statist. 11 (2) 3979 - 3999, 2017. https://doi.org/10.1214/17-EJS1356