# Nonparametric Estimation of Repeated Densities with Heterogeneous Sample Sizes

@inproceedings{Qiu2020NonparametricEO, title={Nonparametric Estimation of Repeated Densities with Heterogeneous Sample Sizes}, author={Jiaming Qiu and Xiongtao Dai and Zhengyuan Zhu}, year={2020} }

We consider the estimation of densities in multiple subpopulations, where the available sample size in each subpopulation greatly varies. For example, in epidemiology, different diseases may share similar pathogenic mechanism but differ in their prevalence. Without specifying a parametric form, our proposed approach pools information from the population and estimate the density in each subpopulation in a data-driven fashion. Low-dimensional approximating density families in the form of… Expand

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