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.
Acknowledgments
We thank an associate editor and a referee for their constructive comments.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Ye Liang http://orcid.org/0000-0002-6513-8962