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Large Scale Global And Simultaneous Inference
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Book Synopsis Large-Scale Global and Simultaneous Inference by : Tony Cai
Download or read book Large-Scale Global and Simultaneous Inference written by Tony Cai and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to rapid technological advances, researchers are now able to collect and analyze ever larger data sets. Statistical inference for big data often requires solving thousands or even millions of parallel inference problems simultaneously. This poses significant challenges and calls for new principles, theories, and methodologies. This review provides a selective survey of some recently developed methods and results for large-scale statistical inference, including detection, estimation, and multiple testing. We begin with the global testing problem, where the goal is to detect the existence of sparse signals in a data set, and then move to the problem of estimating the proportion of nonnull effects. Finally, we focus on multiple testing with false discovery rate (FDR) control. The FDR provides a powerful and practical approach to large-scale multiple testing and has been successfully used in a wide range of applications. We discuss several effective data-driven procedures and also present efficient strategies to handle various grouping, hierarchical, and dependency structures in the data.
Book Synopsis Selection and Estimation for Large-scale Simultaneous Inference by : Bradley Efron
Download or read book Selection and Estimation for Large-scale Simultaneous Inference written by Bradley Efron and published by . This book was released on 2004 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Global Testing and Large-Scale Multiple Testing for High-Dimensional Covariance Structures by : Tony Cai
Download or read book Global Testing and Large-Scale Multiple Testing for High-Dimensional Covariance Structures written by Tony Cai and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Driven by a wide range of contemporary applications, statistical inference for covariance structures has been an active area of current research in high-dimensional statistics. This review provides a selective survey of some recent developments in hypothesis testing for high-dimensional covariance structures, including global testing for the overall pattern of the covariance structures and simultaneous testing of a large collection of hypotheses on the local covariance structures with false discovery proportion and false discovery rate control. Both one-sample and two-sample settings are considered. The specific testing problems discussed include global testing for the covariance, correlation, and precision matrices, and multiple testing for the correlations, Gaussian graphical models, and differential networks.
Book Synopsis Large-Scale Inference by : Bradley Efron
Download or read book Large-Scale Inference written by Bradley Efron and published by Cambridge University Press. This book was released on 2012-11-29 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a new age for statistical inference, where modern scientific technology such as microarrays and fMRI machines routinely produce thousands and sometimes millions of parallel data sets, each with its own estimation or testing problem. Doing thousands of problems at once is more than repeated application of classical methods. Taking an empirical Bayes approach, Bradley Efron, inventor of the bootstrap, shows how information accrues across problems in a way that combines Bayesian and frequentist ideas. Estimation, testing and prediction blend in this framework, producing opportunities for new methodologies of increased power. New difficulties also arise, easily leading to flawed inferences. This book takes a careful look at both the promise and pitfalls of large-scale statistical inference, with particular attention to false discovery rates, the most successful of the new statistical techniques. Emphasis is on the inferential ideas underlying technical developments, illustrated using a large number of real examples.
Book Synopsis Simultaneous Statistical Inference by : Rupert G. Miller
Download or read book Simultaneous Statistical Inference written by Rupert G. Miller and published by . This book was released on 1981 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Aspects of Simultaneous Inference by : John Aleong
Download or read book Aspects of Simultaneous Inference written by John Aleong and published by . This book was released on 1975 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Large-scale Statistical Inference by : Jeffrey Regier
Download or read book Topics in Large-scale Statistical Inference written by Jeffrey Regier and published by . This book was released on 2016 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical inference may be large-scale in terms of the size of the dataset, the dimension of the data, or the amount of data needed for provably accurate inference. This dissertation presents three applications of large-scale statistical inference. Part I considers finding and characterizing stars and galaxies in images from telescopes. Part II considers figuring out who wrote what in large collection of articles, where authors often do not have unique names. Part III considers approximating a high-dimensional function based on a small number of observations, a common problem when interpreting computer experiments.
Book Synopsis Simultaneous Statistical Inference by :
Download or read book Simultaneous Statistical Inference written by and published by Springer. This book was released on 2014-02-28 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Simultaneous inference procedures by : Michael Joe Morton
Download or read book Simultaneous inference procedures written by Michael Joe Morton and published by . This book was released on 1978 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Simultaneous Inference for High Dimensional and Correlated Data by : Afroza Polin
Download or read book Simultaneous Inference for High Dimensional and Correlated Data written by Afroza Polin and published by . This book was released on 2019 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: In high dimensional data, the number of covariates is larger than the sample size, which makes the estimation process challenging. We consider a high-dimensional and longitudinal data where at each time point, the number of covariates is much higher than the number of subjects. We consider two different settings of longitudinal data. First, we consider that the samples at different time points are generated from different populations. Second, we consider that the samples at different time points are generated from a multivariate distribution. In both cases, the number of covariates is much larger than the sample size and the standard least square methods are not applicable.In longitudinal study, our main focus is in the changes of the mean responses over the time and how these changes are related to the explanatory variables. Thus we are interested in testing the effect of the covariates over the time points simultaneously. In the first scenario, we use lasso at each time point to regress the response on the explanatory variables. Along with estimating the regression coefficients lasso also does dimension reduction. We use de-biased lasso for inference. To adjust the multiplicity effect in simultaneous testing we apply Bonferroni, Holm's, Hochberg's and the coherent stepwise procedures. In the second scenario, the samples at different time points are generated from a multivariate distribution and the dimension of the multivariate distribution is equal to the number of time points. We use lasso and de-biased lasso for inferences. To adjust the multiplicity effect in simultaneous testing, we use Bonferroni, Holm's, Hochberg's and stepwise procedures. We provide theoretical details that Bonferroni, Holm's step-down and the coherent step-wise procedures controls the family-wise error rate in strong sense for de-biased lasso estimators. While Hochberg's procedure provides a strong control of family-wise error rate only for independent or positively correlated test statistics.
Book Synopsis Valid Simultaneous Inference in High-dimensional Settings (with the HDM Package for R) by : Philipp Bach
Download or read book Valid Simultaneous Inference in High-dimensional Settings (with the HDM Package for R) written by Philipp Bach and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the increasing availability of high-dimensional empirical applications in many research disciplines, valid simultaneous inference becomes more and more important. For instance, high-dimensional settings might arise in economic studies due to very rich data sets with many potential covariates or in the analysis of treatment heterogeneities. Also the evaluation of potentially more complicated (non-linear) functional forms of the regression relationship leads to many potential variables for which simultaneous inferential statements might be of interest. Here we provide a review of classical and modern methods for simultaneous inference in (high-dimensional) settings and illustrate their use by a case study using the R package hdm. The R package hdm implements valid joint powerful and efficient hypothesis tests for a potentially large number of coefficients as well as the construction of simultaneous confidence intervals and, therefore, provides useful methods to perform valid post-selection inference based on the LASSO.
Book Synopsis Simultaneous Statistical Inference by : Ligiia Igorevna Avdeeva
Download or read book Simultaneous Statistical Inference written by Ligiia Igorevna Avdeeva and published by . This book was released on 1966 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computer Age Statistical Inference by : Bradley Efron
Download or read book Computer Age Statistical Inference written by Bradley Efron and published by Cambridge University Press. This book was released on 2016-07-21 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twenty-first century has seen a breathtaking expansion of statistical methodology, both in scope and in influence. 'Big data', 'data science', and 'machine learning' have become familiar terms in the news, as statistical methods are brought to bear upon the enormous data sets of modern science and commerce. How did we get here? And where are we going? This book takes us on an exhilarating journey through the revolution in data analysis following the introduction of electronic computation in the 1950s. Beginning with classical inferential theories - Bayesian, frequentist, Fisherian - individual chapters take up a series of influential topics: survival analysis, logistic regression, empirical Bayes, the jackknife and bootstrap, random forests, neural networks, Markov chain Monte Carlo, inference after model selection, and dozens more. The distinctly modern approach integrates methodology and algorithms with statistical inference. The book ends with speculation on the future direction of statistics and data science.
Book Synopsis The 18. International Congress of Entomology, Vancouver, B.C, Canada, July 3 to 9., 1988 by :
Download or read book The 18. International Congress of Entomology, Vancouver, B.C, Canada, July 3 to 9., 1988 written by and published by . This book was released on 1988 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Simultaneous Inference for the Comparison of Overdispersed Multinomial Data by : Charlotte Vogel
Download or read book Simultaneous Inference for the Comparison of Overdispersed Multinomial Data written by Charlotte Vogel and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Simultaneous Statistical Inference by : Rupert Griel Miller (ifj.)
Download or read book Simultaneous Statistical Inference written by Rupert Griel Miller (ifj.) and published by . This book was released on 1966 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Simultaneous Inference with Application to Dose-response Study by : Rachana Maharjan
Download or read book Simultaneous Inference with Application to Dose-response Study written by Rachana Maharjan and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the common applications of simultaneous inference problems is in the dose-response study, where different dosage levels need to be tested simultaneously. Although several multiple comparison procedures such as Bonferroni, Holm (1979), Hochberg (1988), Dunnett (1955) can be used to adjust multiplicity and control family-wise error rate, Ma and McDermott (2019) proposed a modification of the MCP-Mod approach to finding the dose-response relationship when the responses are normal. However, there are many cases where the response variable is not symmetry and follows a skew-normal distribution. In my research, we proposed a new multiple contrast test statistic to find the significant dose-response relationship for skew-normal responses. Later, we used the proposed test statistics to find the lower confidence bound in the simultaneous confidence step-wise procedure. Simultaneous confidence sets are used when information regarding follow-up investigation in clinical trials is needed. Further in this dissertation, we discussed the step-wise procedure to find the minimum effective dosage for the survival data. To do this, we combined the Kaplan-Meier estimator to estimate the survival function and Holm’s stepdown procedure to strongly control the family-wise error rate while testing different treatment groups with the control group.
