Cai, T. TonyLow, Mark G2023-05-232023-05-232003-01-012016-08-05https://repository.upenn.edu/handle/20.500.14332/47633Precise asymptotic descriptions of the minimax affine risks and bias-variance tradeoffs for estimating linear functionals are given for a broad class of moduli. The results are complemented by illustrative examples including one where it is possible to construct an estimator which is fully adaptive over a range of parameter spaces.bias-variance tradeoffsdensity estimationmodulus of continuitylinear functionalsnonparametric functional estimationnonparametric regressionwhite noise modelStatistics and ProbabilityArticle