Robbins, Empirical Bayes, And Microarrays

By Bradley Efron. 2001

143 citations recorded by the source corpus.

Subfields: Molecular Biology, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f916a3916aa0846480f60743b889377534807107

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Citations in the corpus

Predicting the Conditional Probability of Discovering a New Class (2004, methodology): “Each Yi(t) can be assumed to be a homogeneous Poisson process with rate i or mean value function (1 + t) i (Fisher, Corbet, and Williams 1943; Efron and Thisted 1976; Mao and Lindsay 2002).”
Linear Models and Empirical Bayes Methods for Assessing Differential Expression in Microarray Experiments (2004, unknown): “Keywords: microarrays, empirical Bayes, linear models, hyperparameters, differential expression”
General maximum likelihood empirical Bayes estimation of normal means (2009, unknown): “17 09 v1 [ m at h. ST ] 1 2 A ug 2 00 9 The Annals of Statistics 2009, Vol. 37, No. 4, 1647–1684 DOI: 10.1214/08-AOS638 c© Institute of Mathematical Statistics, 2009”
An empirical Bayes approach to inferring large-scale gene association networks (2005, methodology): “In practice however, owing to the paucity of the data at hand, it is not generally possible to infer these non-linearities nor the global network structure (Husmeier, 2003; Friedman and Koller, 2003).”
Estimating brain functional connectivity with sparse multivariate autoregression (2005, methodology): “Given a set of p hypotheses, out of which an unknown number p 0 are true, the FDR method identiﬁes the hypotheses to be rejected, while keeping the expected value of the ratio of the number of false rejections to the total number of rejections below q , a user-speciﬁed control value.”
Control of the mean number of false discoveries, Bonferroni and stability of multiple testing (2007, methodology): “The two approaches are in a certain sense closely related as discussed in Efron (2003).”
Large-scale inference (2010, result): “Notes Herbert Robbins, paralleling early work by R.A. Fisher, I.J. Good, and Alan Turing (of Turing machine fame) developed a powerful theory of empirical Bayes statistical inference, some references being Robbins (1956) and Efron (2003).”
The Poisson Compound Decision Problem Revisited (2010, methodology): “Thus, the EB method has become especially relevant in recent years (see, e.g., the enthusiastic advocation for EB usage and relevance in the article by Efron 2003).”
Item Response Theory—A Statistical Framework for Educational and Psychological Measurement (2021, unknown): “This estimator can be viewed as an empirical Bayes estimator (Efron and Morris, 1973; Robbins, 1956); see Efron (2003) and Zhang (2003) for a review of empirical Bayes methods.”
Bayesians, Frequentists, and Scientists (2005, methodology): “The bootstrap-objective Bayes relationship was pursued by Efron and Tibshirani (1998). This brings up an important trend in Bayesian statistics.”
False discovery rates: a new deal (2016, background): “Efron and co-authors [3–7]; see also [8–11] for example.”
NONPARAMETRIC EMPIRICAL BAYES AND COMPOUND DECISION APPROACHES TO ESTIMATION OF A HIGH-DIMENSIONAL VECTOR OF NORMAL MEANS (2009, background): “Many recent statistical results have focused on the importance of treating situations involving “sparse” models [see, e.g., Donoho and Johnstone (1994), Johnstone and Silverman (2004) and Efron (2003)].”
False discovery and false nondiscovery rates in single-step multiple testing procedures (2006, methodology): “In this section, we present appropriate modifications to Lemmas 1 and 2 when mixture approach is taken as in Efron et al. (2001) and Storey (2002). We will, however, assume a more general mixture model in the sense that it does not assume independence of the test statistics.”
Large-Scale Simultaneous Hypothesis Testing (2004, background): “Figure 6 relates to a well-known microarray experiment concerning diﬀerences between two types of genetic mutations causing increased breast cancer risk, “BRCA1” and “BRCA2”; see Hedenfalk et al. (2001), also Efron and Tibshirani (2002), and Efron (2003).”