Proportion of non‐zero normal means: universal oracle equivalences and uniformly consistent estimators

By Jiashun Jin. 2008

73 citations recorded by the source corpus.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/5c5becc796db9bb107d4908f40746d82ccae0fe4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Management Science and Operations Research

In Statistics and Probability

Citations in the corpus

Estimation of a two‐component mixture model with applications to multiple testing (2012, methodology): “se and Wasserman (2004)). We also compare our results with ˆαE 0 , the estimator proposed in Efron (2007) using the central matching method, computed using the locfdrfunction in the R library locfdr. Jin (2008) and Cai and Jin (2010) propose estimators when the model is a mixture of Gaussian distrib”
Controlling the familywise error rate with plug‐in estimator for the proportion of true null hypotheses (2009, methodology): “Jin and Cai (2007) studied estimation methods that are based on the empirical characteristic function and on Fourier analysis; see also Jin (2008).”
Optimal rates of convergence for estimating the null density and proportion of nonnull effects in large-scale multiple testing (2010, methodology): “See Efron (2004, 2008) and Jin and Cai (2007) for estimating f null and ε, and see Genovese and Wasserman (2004), Meinshausen and Rice (2006), Cai, Jin and Low (2007), Jin (2008) and Celisse and Robin (2008) for estimating ε [also see Storey (2002), Efron et al. (2001), Swanepoel (1999)].”
Adaptive FDR control under independence and dependence (2007, background): “A variety of other estimators of π0 have been proposed (e.g. Meinshausen and Rice, 2006; Jin and Cai, 2007; Jin, 2008); while their asymptotic consistency (as the number of hypotheses tends to infinity) is generally established, their use in plug-in adaptive procedures has not always been studied.”
Estimation and Confidence Sets for Sparse Normal Mixtures (2006, methodology): “Other examples include the analysis of Comparative Genomic Hybridization (CGH) lung cancer data [11], microarray breast cancer data [6, 10 ] and Single Nucleotide Polymorphism (SNP) data on Parkinson disease [13].”