Nonparametric inference for interval data using kernel methods
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초록

Symbolic data have become increasingly popular in the era of big data. In this paper, we consider density estimation and regression for interval-valued data, a special type of symbolic data, common in astronomy and official statistics. We propose kernel estimators with adaptive bandwidths to account for variability of each interval. Specifically, we derive cross-validation bandwidth selectors for density estimation and extend the Nadaraya-Watson estimator for regression with interval data. We assess the performance of the proposed methods in comparison with existing kernel methods by extensive simulation studies and real data analysis.

키워드

Cross validationkernel density estimationNadaraya-Watson estimatorsymbolic dataBANDWIDTH SELECTIONDENSITY-ESTIMATION
제목
Nonparametric inference for interval data using kernel methods
저자
Park, HoyoungLoh, Ji MengJang, Woncheol
DOI
10.1080/10485252.2022.2160980
발행일
2023-07
유형
Article
저널명
Journal of Nonparametric Statistics
35
3
페이지
455 ~ 473