Compound decision theory

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August undefined, 2024

WebInstitute of Mathematical Statistics. Subscribe to Project Euclid. Receive erratum alerts for this article. Business Office. 905 W. Main Street. Suite 18B. Durham, NC 27701 USA. Help Contact Us. WebSep 8, 2024 · Sharp regret bounds for empirical Bayes and compound decision problems. We consider the classical problems of estimating the mean of an -dimensional normally (with identity covariance matrix) or Poisson distributed vector under the squared loss. In a Bayesian setting the optimal estimator is given by the prior-dependent conditional mean.

A compound decision approach to covariance matrix …

WebJan 1, 2008 · This dissertation studies the large-scale multiple testing problem from a compound decision theoretical view, and proposes a new class of powerful data-driven procedures that substantially ... WebFeb 1, 2007 · Abstract. We develop a compound decision theory framework for multiple-testing problems and derive an oracle rule based on the z values that minimizes the false nondiscovery rate (FNR) subject to ... hollingsworth llc groveport oh

Econometrica, Vol. 91, No. 1 (January, 2024), 1–41

WebIntroductory Bayesian Statistics 7, Compound Decision Theory - YouTube This video is about compound decision theory (Maritz and Lwin 1989, section 1.14.1).Reference:J.S. Maritz and T. Lwin,... WebCompound decision theory is shown to be powerful as a general theoretical framework for pattern recognition, leading to nonparametric methods, methods of threshold adjustment, and methods for taking context into account. The finite-sample-size performance of the Fix-Hodges nearest-neighbor nonparametric classification procedure is derived for … WebApr 1, 2003 · Motivated by compound decision theory for multiple testing (Benjamini and Hochberg, 1995;Efron, 2004,0,1;Efron et al., … hollingsworth horses custer sd

Compound decision theory and empirical Bayes methods

The Compound Statistical Decision Problem - JSTOR

WebJan 1, 2024 · Section 2 provides a brief overview of compound decision theory and describes non-parametric methods for estimation of Gaussian mixture models. Section 3 introduces a basic framework for our approach to ranking and selection in a setting with homogeneous precision of the observed measurements. In Section 4, we introduce … WebOur compound decision approach is closely related to the correlation matrix estimator of Dey and Stephens (2024). We discuss in detail the connections with their work in Section 3.2. The article is organized as follows. In Section 2 we brie y review compound decision theory, and in Section 3 we introduce our proposed estimator. In Section 4 we ... human race orangeWebThis is sometimes called the compound lottery axiom or the reduction of compound lotteries.1 This axiom will be violated if the decision-maker likes or dislikes the process by which uncertainty is resolved; for example he may enjoy the suspense that builds up as a … hollingsworth llp linkedin

"WebJul 27, 2006 · A compound decision theory approach is described for the reconstruction of digital signals with Markov chain structure. The decision rules suggested are based on the construction of the Γk ... " - Compound decision theory

Compound decision theory

Invidious Comparisons: Ranking and Selection as Compound …

WebJan 1, 2008 · We develop a compound decision framework for multiple-testing and derive a z-value based oracle procedure that minimizes the false non-discovery rate subject to a constraint on the FDR. We then... WebJan 1, 2012 · Abstract. We develop a compound decision theory framework for multiple-testing problems and derive an oracle rule based on the z values that minimizes the false nondiscovery rate (FNR) subject to a constraint on the false discovery rate (FDR). We …

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http://www-stat.wharton.upenn.edu/~tcai/paper/FDR.pdf Web3.3. Decision-Making Rule. In DS evidence theory, two common decision-making rules are maximum belief function and maximum plausibility function method. But it is obvious that both of them are too simple to obtain accurate and satisfactory recognition results in IR/MMW system. Therefore, a compound decision-making rule is applied.

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WebThe test is based on the optimum (Bayes) compound decision theory and the theory of Wald's sequential probability ratio test (SPRT). The compound sequential probability ratio (SPRT) is shown to be recursively computable at every instant of the decision process. WebJan 2, 2024 · It is more and more important to consider the dependence structure among multiple testings, especially for the genome-wide association studies (GWAS). The existing procedures, such as local index of significance (LIS) and pooled local index of significance (PLIS), were proposed to test hidden Markov model (HMM)-dependent hypotheses …

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WebThe compound decision theory is formally introduced in Chapter 2. A major goal of Chapter 3 is to show that the p-value testing framework is generally inefficient in large-scale multiple testing and the precision of the tests can be greatly increased by pooling information from different samples. We develop a compound decision framework for ... human race oreoWebOct 13, 2024 · The power of compound decision making: Part 2. Pushing high-velocity decision making deeper into your organization. By Viraj Parikh, Managing Partner of TechCXO. On a recent 20VC podcast episode, Steve Blank, an early serial tech entrepreneur and academic who helped launch the lean startup movement, listed three … hollingsworth llc brownstown miWebDec 23, 2024 · The problem is naturally formulated in the compound decision framework of Robbins's (1956) empirical Bayes theory, but it also exhibits close connections to the recent literature on multiple testing. The nonparametric maximum likelihood estimator for mixture models (Kiefer and Wolfowitz (1956)) is employed to construct optimal ranking … hollingsworth llc dallasWebThe sequential compound decision problem has also been discussed and its relation to the empirical Bays approach is given indicating other possible extensions. 1. Introduction In this paper certain aspects of the compound decision problem are described and discussed. … hollingsworth llp dcWebMay 2, 2024 · We first frame covariance matrix estimation as a compound decision problem. This motivates defining a class of decision rules and using a nonparametric empirical Bayes g-modeling approach to estimate the optimal rule in the class. Simulation results and gene network inference in an RNA-seq experiment in mouse show that our … human race rafflesWebJan 1, 2012 · We develop a compound decision theory framework for multiple-testing problems and derive an oracle rule based on the z values that minimizes the false nondiscovery rate (FNR) subject to a constraint on the false discovery rate (FDR). We show that many commonly used multiple-testing procedures, which are p value–based, are … hollingsworth llc miWebSrihari: CSE 555 14 Medical Diagnosis Application of Belief Nets • Uppermost nodes (without parents) • Biological agent such as presence of bacteria or virus • Intermediate nodes • Diseases such as emphysema or flu • Lowermost nodes • Symptoms such as high temperature or coughing • Physician enters measured values in net and finds most likely … hollingsworth llc highland park mi