Computation Of Multivariate Normal And T Probabilities
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Computation Of Multivariate Normal And T Probabilities
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Author : Alan Genz
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-09
Computation Of Multivariate Normal And T Probabilities written by Alan Genz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-09 with Computers categories.
Multivariate normal and t probabilities are needed for statistical inference in many applications. Modern statistical computation packages provide functions for the computation of these probabilities for problems with one or two variables. This book describes recently developed methods for accurate and efficient computation of the required probability values for problems with two or more variables. The book discusses methods for specialized problems as well as methods for general problems. The book includes examples that illustrate the probability computations for a variety of applications.
Computation Of Multivariate Normal And T Probabilities
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Author : P. Diggle P. Bickel (S. Fienberg, U. Gather)
language : en
Publisher:
Release Date : 2009
Computation Of Multivariate Normal And T Probabilities written by P. Diggle P. Bickel (S. Fienberg, U. Gather) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematical statistics categories.
Multivariate Normal Distribution The Theory And Applications
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Author : Thu Pham-gia
language : en
Publisher: World Scientific
Release Date : 2021-05-05
Multivariate Normal Distribution The Theory And Applications written by Thu Pham-gia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-05 with Business & Economics categories.
This book provides the reader with user-friendly applications of normal distribution. In several variables it is called the multinormal distribution which is often handled using matrices for convenience. The author seeks to make the arguments less abstract and hence, starts with the univariate case and moves progressively toward the vector and matrix cases. The approach used in the book is a gradual one, going from one scalar variable to a vector variable and to a matrix variable. The author presents the unified aspect of normal distribution, as well as addresses several other issues, including random matrix theory in physics. Other well-known applications, such as Herrnstein and Murray's argument that human intelligence is substantially influenced by both inherited and environmental factors, will be discussed in this book. It is a better predictor of many personal dynamics — including financial income, job performance, birth out of wedlock, and involvement in crime — than are an individual's parental socioeconomic status, or education level, and deserve to be mentioned and discussed.
Basic Elements Of Computational Statistics
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Author : Wolfgang Karl Härdle
language : en
Publisher: Springer
Release Date : 2017-09-29
Basic Elements Of Computational Statistics written by Wolfgang Karl Härdle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-29 with Computers categories.
This textbook on computational statistics presents tools and concepts of univariate and multivariate statistical data analysis with a strong focus on applications and implementations in the statistical software R. It covers mathematical, statistical as well as programming problems in computational statistics and contains a wide variety of practical examples. In addition to the numerous R sniplets presented in the text, all computer programs (quantlets) and data sets to the book are available on GitHub and referred to in the book. This enables the reader to fully reproduce as well as modify and adjust all examples to their needs. The book is intended for advanced undergraduate and first-year graduate students as well as for data analysts new to the job who would like a tour of the various statistical tools in a data analysis workshop. The experienced reader with a good knowledge of statistics and programming might skip some sections on univariate models and enjoy the various ma thematical roots of multivariate techniques. The Quantlet platform quantlet.de, quantlet.com, quantlet.org is an integrated QuantNet environment consisting of different types of statistics-related documents and program codes. Its goal is to promote reproducibility and offer a platform for sharing validated knowledge native to the social web. QuantNet and the corresponding Data-Driven Documents-based visualization allows readers to reproduce the tables, pictures and calculations inside this Springer book.
Group Sequential And Confirmatory Adaptive Designs In Clinical Trials
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Author : Gernot Wassmer
language : en
Publisher: Springer
Release Date : 2016-07-04
Group Sequential And Confirmatory Adaptive Designs In Clinical Trials written by Gernot Wassmer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-04 with Medical categories.
This book provides an up-to-date review of the general principles of and techniques for confirmatory adaptive designs. Confirmatory adaptive designs are a generalization of group sequential designs. With these designs, interim analyses are performed in order to stop the trial prematurely under control of the Type I error rate. In adaptive designs, it is also permissible to perform a data-driven change of relevant aspects of the study design at interim stages. This includes, for example, a sample-size reassessment, a treatment-arm selection or a selection of a pre-specified sub-population. Essentially, this adaptive methodology was introduced in the 1990s. Since then, it has become popular and the object of intense discussion and still represents a rapidly growing field of statistical research. This book describes adaptive design methodology at an elementary level, while also considering designing and planning issues as well as methods for analyzing an adaptively planned trial. This includes estimation methods and methods for the determination of an overall p-value. Part I of the book provides the group sequential methods that are necessary for understanding and applying the adaptive design methodology supplied in Parts II and III of the book. The book contains many examples that illustrate use of the methods for practical application. The book is primarily written for applied statisticians from academia and industry who are interested in confirmatory adaptive designs. It is assumed that readers are familiar with the basic principles of descriptive statistics, parameter estimation and statistical testing. This book will also be suitable for an advanced statistical course for applied statisticians or clinicians with a sound statistical background.
Remodeling Forensic Skeletal Age
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Author : Bridget F.B. Algee‐Hewitt
language : en
Publisher: Academic Press
Release Date : 2021-04-22
Remodeling Forensic Skeletal Age written by Bridget F.B. Algee‐Hewitt and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-22 with Science categories.
Remodeling Forensic Skeletal Age: Modern Applications and New Research Directions presents a comprehensive understanding of the analytical frameworks and conceptual approaches surrounding forensic age estimation and the current state of the field. The book also includes a series of recommendations of best practice through chapter-examples that offer theory and guidance for data acquisition, technique and/or model development, and the assessment of impact of the adopted approaches. Written by leading, international experts, the book's contributors provide an introduction, conceptual understanding and taxonomy of statistical frameworks and computational approaches, including the Bayesian paradigm and machine learning techniques for age estimation. - Discusses core concepts in age estimation, along with key terminologies - Presents tactics on how readers can generate sound models that can be translated into forensic reports and expert testimony - Provides a step-wise approach and best practice recommendations for data acquisition, considerations in sampling, exploratory data analysis, visualization, and sources of error for appropriate and reproducible research design - Includes examples, theory and guidance on how to develop models for age estimation and reviews the impact of population-specific and universal approaches
Statistical Modelling Of Occupant Behaviour
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Author : Jan Kloppenborg Møller
language : en
Publisher: CRC Press
Release Date : 2024-01-26
Statistical Modelling Of Occupant Behaviour written by Jan Kloppenborg Møller and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-26 with Mathematics categories.
General, and generalized linear, and survival models Mixed effect and hierarchical models Linear time series and Markov models Linear state space and hidden Markov models Illustration of all methods using occupant behaviour examples implemented in R
Privacy In Statistical Databases
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Author : Josep Domingo-Ferrer
language : en
Publisher: Springer
Release Date : 2014-09-10
Privacy In Statistical Databases written by Josep Domingo-Ferrer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-10 with Computers categories.
This book constitutes the refereed proceedings of the International Conference on Privacy in Statistical Databases, PSD 2014, held in Ibiza, Spain in September 2014 under the sponsorship of the UNESCO chair in Data Privacy. The 27 revised full papers presented were carefully reviewed and selected from 41 submissions. The scope of the conference is on following topics: tabular data protection, microdata masking, protection using privacy models, synthetic data, record linkage, remote access, privacy-preserving protocols, and case studies.
Simultaneous Inference In Regression
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Author : Wei Liu
language : en
Publisher: CRC Press
Release Date : 2010-10-19
Simultaneous Inference In Regression written by Wei Liu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-19 with Mathematics categories.
Simultaneous confidence bands enable more intuitive and detailed inference of regression analysis than the standard inferential methods of parameter estimation and hypothesis testing. Simultaneous Inference in Regression provides a thorough overview of the construction methods and applications of simultaneous confidence bands for various inferentia
Handbook Of Multiple Comparisons
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Author : Xinping Cui
language : en
Publisher: CRC Press
Release Date : 2021-11-17
Handbook Of Multiple Comparisons written by Xinping Cui and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-17 with Mathematics categories.
Written by experts that include originators of some key ideas, chapters in the Handbook of Multiple Testing cover multiple comparison problems big and small, with guidance toward error rate control and insights on how principles developed earlier can be applied to current and emerging problems. Some highlights of the coverages are as follows. Error rate control is useful for controlling the incorrect decision rate. Chapter 1 introduces Tukey's original multiple comparison error rates and point to how they have been applied and adapted to modern multiple comparison problems as discussed in the later chapters. Principles endure. While the closed testing principle is more familiar, Chapter 4 shows the partitioning principle can derive confidence sets for multiple tests, which may become important as the profession goes beyond making decisions based on p-values. Multiple comparisons of treatment efficacy often involve multiple doses and endpoints. Chapter 12 on multiple endpoints explains how different choices of endpoint types lead to different multiplicity adjustment strategies, while Chapter 11 on the MCP-Mod approach is particularly useful for dose-finding. To assess efficacy in clinical trials with multiple doses and multiple endpoints, the reader can see the traditional approach in Chapter 2, the Graphical approach in Chapter 5, and the multivariate approach in Chapter 3. Personalized/precision medicine based on targeted therapies, already a reality, naturally leads to analysis of efficacy in subgroups. Chapter 13 draws attention to subtle logical issues in inferences on subgroups and their mixtures, with a principled solution that resolves these issues. This chapter has implication toward meeting the ICHE9R1 Estimands requirement. Besides the mere multiple testing methodology itself, the handbook also covers related topics like the statistical task of model selection in Chapter 7 or the estimation of the proportion of true null hypotheses (or, in other words, the signal prevalence) in Chapter 8. It also contains decision-theoretic considerations regarding the admissibility of multiple tests in Chapter 6. The issue of selected inference is addressed in Chapter 9. Comparison of responses can involve millions of voxels in medical imaging or SNPs in genome-wide association studies (GWAS). Chapter 14 and Chapter 15 provide state of the art methods for large scale simultaneous inference in these settings.