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Titlebook: Concentration of Maxima and Fundamental Limits in High-Dimensional Testing and Inference; Zheng Gao,Stilian Stoev Book 2021 The Author(s),

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Introduction and Guiding Examples,signal support estimation problems. This is done in the context of two general models—the signal-plus-noise model and the chi-square model arising in genome-wide association studies. Motivating applications of these two problems and two models are briefly discussed. The chapter concludes with a summary of the contents of the manuscript.
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Further Applications and Future Directions,classification boundary function, all thresholding estimators fail to recover the support with probability converging to one. This is so provided that the error array is uniformly relatively stable—a type of concentration of maxima condition. The URS condition is optimal and characterized further in
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Time-Varying Maximum Capacity Path Problems,ionship between signal size and power, the chapter develops canonical parameterizations in terms of the marginal frequencies, odds ratio, and sample sizes. This leads to a simplified characterization of the power in GWAS and to further insights into optimal study design. These results are accompanie
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Concentration of Maxima and Fundamental Limits in High-Dimensional Testing and Inference
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Risks, Procedures, and Error Models,neral class of thresholding procedures. The latter is at the center of the investigation in the subsequent chapters. The existing literature is discussed in the context of the defined statistical risks and procedures. The chapter concludes with some probabilistic background. Introduced is the class
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Musikalische Einleitungia von C. Monteverdi, Intrada von H. L. Haßler, Cantzon „Auf den Schäffertanz“ von E. Widmann und Cantzon XVI — dreichörig von G. Gabrieli. Zum Totengedenken Choralcanzone „Herzlich lieb hab ich Dich o Herr“ von H. L. Haßler und zum Ausklang Suite aus Newe auserlesene liebliche Branden, Intraden von
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