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On model selection consistency of M-estimators with geometrically decomposable penalties
model selection consistency M-estimators geometrically decomposable penalties
2013/6/14
Penalized M-estimators are used in many areas of science and engineering to fit models with some low-dimensional structure in high-dimensional settings. In many problems arising in bioinformatics, sig...
Delta method in large deviations and moderate deviations for estimators
Delta method hypothesis testing Kaplan–Meier estimator large deviations L-statistics M-estimator moderate deviations
2011/6/20
The delta method is a popular and elementary tool for deriving
limiting distributions of transformed statistics, while applications of
asymptotic distributions do not allow one to obtain desirable a...
A unified framework for high-dimensional analysis of $M$-estimators with decomposable regularizers
unified framework high-dimensional analysis $M$-estimators decomposable regularizers
2010/10/19
High-dimensional statistical inference deals with models in which the the number of parameters $p$ is comparable to or larger than the sample size $n$. Since it is usually impossible to obtain consist...