## Electronic Journal of Statistics

### Consistent estimation in general sublinear preferential attachment trees

#### Abstract

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.

#### Article information

Source
Electron. J. Statist., Volume 11, Number 2 (2017), 3979-3999.

Dates
First available in Project Euclid: 18 October 2017

https://projecteuclid.org/euclid.ejs/1508292533

Digital Object Identifier
doi:10.1214/17-EJS1356

Mathematical Reviews number (MathSciNet)
MR3714305

Zentralblatt MATH identifier
06796562

Subjects
Primary: 62G20: Asymptotic properties

#### Citation

Gao, Fengnan; van der Vaart, Aad; Castro, Rui; van der Hofstad, Remco. Consistent estimation in general sublinear preferential attachment trees. Electron. J. Statist. 11 (2017), no. 2, 3979--3999. doi:10.1214/17-EJS1356. https://projecteuclid.org/euclid.ejs/1508292533

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