Multivariate T Distributions And Their Applications
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Multivariate T Distributions And Their Applications
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Author : Samuel Kotz
language : en
Publisher: Cambridge University Press
Release Date : 2004-02-16
Multivariate T Distributions And Their Applications written by Samuel Kotz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-16 with Mathematics categories.
Almost all the results available in the literature on multivariate t-distributions published in the last 50 years are now collected together in this comprehensive reference. Because these distributions are becoming more prominent in many applications, this book is a must for any serious researcher or consultant working in multivariate analysis and statistical distributions. Much of this material has never before appeared in book form. The first part of the book emphasizes theoretical results of a probabilistic nature. In the second part of the book, these are supplemented by a variety of statistical aspects. Various generalizations and applications are dealt with in the final chapters. The material on estimation and regression models is of special value for practitioners in statistics and economics. A comprehensive bibliography of over 350 references is included.
Normal And Student S T Distributions And Their Applications
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Author : Mohammad Ahsanullah
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-02-07
Normal And Student S T Distributions And Their Applications written by Mohammad Ahsanullah 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 2014-02-07 with Mathematics categories.
The most important properties of normal and Student t-distributions are presented. A number of applications of these properties are demonstrated. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented. The materials will be useful to the advanced undergraduate and graduate students and practitioners in the various fields of science and engineering.
A Study Of Non Central Skew T Distributions And Their Applications In Data Analysis And Change Point Detection
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Author : Abeer Hasan
language : en
Publisher:
Release Date : 2013
A Study Of Non Central Skew T Distributions And Their Applications In Data Analysis And Change Point Detection written by Abeer Hasan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Density functionals categories.
Over the past three decades there has been a growing interest in searching for distribution families that are suitable to analyze skewed data with excess kurtosis. The search started by numerous papers on the skew normal distribution. Multivariate t distributions started to catch attention shortly after the development of the multivariate skew normal distribution. Many researchers proposed alternative methods to generalize the uni-variate t distribution to the multivariate case. Recently, skew t distribution started to become popular in research. Skew t distributions provide more flexibility and better ability to accommodate long-tailed data than skew normal distributions. In this dissertation, a new non-central skew t distribution is studied and its theoretical properties are explored. Applications of the proposed non-central skew t distribution in data analysis and model comparisons are studied. An extension of our distribution to the multivariate case is presented and properties of the multivariate non-central skew t distribution are discussed. We also discuss the distribution of quadratic forms of the non-central skew t distribution. In the last chapter, the change point problem of the non-central skew t distribution is discussed under different settings. An information based approach is applied to detect the location of the change point in the non-central skew t distribution. The power of this approach is illustrated via simulation studies. Finally, the change point approach is used to detect the location of the change point in the weekly return rates of three Latin American countries using the non-central skew t distribution
Continuous Multivariate Distributions Volume 1
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Author : Samuel Kotz
language : en
Publisher: John Wiley & Sons
Release Date : 2019-01-17
Continuous Multivariate Distributions Volume 1 written by Samuel Kotz and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-17 with Mathematics categories.
Seit dem Erscheinen der ersten Auflage dieses Werkes (1972) hat sich das Gebiet der kontinuierlichen multivariaten Verteilungen rasch weiterentwickelt. Moderne Anwendungsfelder sind die Erforschung von Hochwasser, Erdbeben, Regenfällen und Stürmen. Entsprechend wurde das Buch überarbeitet und erweitert: Nunmehr zwei Bände beschreiben eine Vielzahl multivariater Verteilungsmodelle anhand zahlreicher Beispiele. (05/00)
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.
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.
Probability Inequalities In Multivariate Distributions
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Author : Y. L. Tong
language : en
Publisher: Academic Press
Release Date : 2014-07-10
Probability Inequalities In Multivariate Distributions written by Y. L. Tong and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.
Probability Inequalities in Multivariate Distributions is a comprehensive treatment of probability inequalities in multivariate distributions, balancing the treatment between theory and applications. The book is concerned only with those inequalities that are of types T1-T5. The conditions for such inequalities range from very specific to very general. Comprised of eight chapters, this volume begins by presenting a classification of probability inequalities, followed by a discussion on inequalities for multivariate normal distribution as well as their dependence on correlation coefficients. The reader is then introduced to inequalities for other well-known distributions, including the multivariate distributions of t, chi-square, and F; inequalities for a class of symmetric unimodal distributions and for a certain class of random variables that are positively dependent by association or by mixture; and inequalities obtainable through the mathematical tool of majorization and weak majorization. The book also describes some distribution-free inequalities before concluding with an overview of their applications in simultaneous confidence regions, hypothesis testing, multiple decision problems, and reliability and life testing. This monograph is intended for mathematicians, statisticians, students, and those who are primarily interested in inequalities.
Percentage Points Of The Multivariate T Distribution
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Author : Paruchuri Rama Krishnaiah
language : en
Publisher:
Release Date : 1965
Percentage Points Of The Multivariate T Distribution written by Paruchuri Rama Krishnaiah and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Distribution (Théorie des probabilités) categories.
The multivariate t distribution plays an important role in the application of the Simultaneous Test Procedures and Ranking and Selection Procedures. This distribution was considered by several authors in the past. In this paper, the authors give very extensive tables of the percentage points of this distribution. Some applications of these tables are also discussed.
Innovations In Multivariate Statistical Modeling
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Author : Andriëtte Bekker
language : en
Publisher: Springer Nature
Release Date : 2022-12-15
Innovations In Multivariate Statistical Modeling written by Andriëtte Bekker and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Mathematics categories.
Multivariate statistical analysis has undergone a rich and varied evolution during the latter half of the 20th century. Academics and practitioners have produced much literature with diverse interests and with varying multidisciplinary knowledge on different topics within the multivariate domain. Due to multivariate algebra being of sustained interest and being a continuously developing field, its appeal breaches laterally across multiple disciplines to act as a catalyst for contemporary advances, with its core inferential genesis remaining in that of statistics. It is exactly this varied evolution caused by an influx in data production, diffusion, and understanding in scientific fields that has blurred many lines between disciplines. The cross-pollination between statistics and biology, engineering, medical science, computer science, and even art, has accelerated the vast amount of questions that statistical methodology has to answer and report on. These questions are often multivariate in nature, hoping to elucidate uncertainty on more than one aspect at the same time, and it is here where statistical thinking merges mathematical design with real life interpretation for understanding this uncertainty. Statistical advances benefit from these algebraic inventions and expansions in the multivariate paradigm. This contributed volume aims to usher novel research emanating from a multivariate statistical foundation into the spotlight, with particular significance in multidisciplinary settings. The overarching spirit of this volume is to highlight current trends, stimulate a focus on, and connect multidisciplinary dots from and within multivariate statistical analysis. Guided by these thoughts, a collection of research at the forefront of multivariate statistical thinking is presented here which has been authored by globally recognized subject matter experts.
The Restricted Matric T Distribution And Its Applications In Deriving Posterior Distributions Of Parameters In Multivariate Regression Analysis
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Author : Wai-Yuan Tan
language : en
Publisher:
Release Date : 1969
The Restricted Matric T Distribution And Its Applications In Deriving Posterior Distributions Of Parameters In Multivariate Regression Analysis written by Wai-Yuan Tan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
