Horvitz-Thompson estimator under partial information with an application to network degree distribution

IZAGUIRRE, ALEJANDRO; MONTES ROJAS, GABRIEL VICTORIO

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION

TAYLOR & FRANCIS INC

Año: 2022 vol. 50 p. 343 - 366

0361-0918

We present an extension of the Horvitz-Thompson estimator for estimating the total number of sets of a given size within a population. We study the limitations of the Horvitz-Thompson under partial information where we have a sample of population elements rather than of sets. The developed estimator is the chained Horvitz-Thompson. We apply this estimator to the estimate the network degree distribution to be used under probability sampling designs, in particular, induced subgraph and incident subgraph. Finally, we present Monte Carlo simulations to assess the accuracy of the proposed estimator.