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Hypothesis testing and other statistical inference procedures are most efficient when a reliable low-dimensional parametric family can be specified.
Principal profiles
TJ Hastie and Francesca Little · 1987
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Consistent estimation of the influence function of locally asymptotically linear estimators
Chris AJ Klaassen · 1987
Earlier work this paper cites.
Using specially designed exponential families for density estimation
Bradley Efron, Robert Tibshirani, et al · 1996
Earlier work this paper cites.
Asymptotic statistics , volume 3
Aad W Van der Vaart · 2000
Cited alongside, same era.
Targeted maximum likelihood learning
Mark J van der Laan and Daniel Rubin · 2006
Cited alongside, same era.
A kernel two-sample test
Arthur Gretton, Karsten M Borgwardt, Malte J Rasch, Bernhard Schölkopf, and Alexander Smola · 2012
Cited alongside, same era.
B-test: A non-parametric, low variance kernel two-sample test
Wojciech Zaremba, Arthur Gretton, and Matthew Blaschko · 2013
Later among the works it cites.
Semiparametric exponential families for heavy-tailed data
William Fithian and Stefan Wager · 2014
Later among the works it cites.
Semi-parametric inference for the means of heavy-tailed distributions
M. Taddy, H. Freitas Lopes, and M. Gardner · 2016
Later among the works it cites.
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