Orthogonal Series Density Estimation for Complex Surveys
Methodology
2019-07-23 v3 Statistics Theory
Statistics Theory
Abstract
We propose an orthogonal series density estimator for complex surveys, where samples are neither independent nor identically distributed. The proposed estimator is proved to be design-unbiased and asymptotically design-consistent. The asymptotic normality is proved under both design and combined spaces. Two data driven estimators are proposed based on the proposed oracle estimator. We show the efficiency of the proposed estimators in simulation studies. A real survey data example is provided for an illustration.
Cite
@article{arxiv.1709.06588,
title = {Orthogonal Series Density Estimation for Complex Surveys},
author = {Shangyuan Ye and Ye Liang and Ibrahim A. Ahmad},
journal= {arXiv preprint arXiv:1709.06588},
year = {2019}
}
Comments
17 pages, 1 figure