Bonferroni Type Inequalities

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Multivariate Bonferroni-Type Inequalities

Author : John Chen
Publisher : CRC Press
ISBN 13 : 146651843X
Total Pages : 304 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Multivariate Bonferroni-Type Inequalities by : John Chen

Download or read book Multivariate Bonferroni-Type Inequalities written by John Chen and published by CRC Press. This book was released on 2014-07-22 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Bonferroni-Type Inequalities: Theory and Applications presents a systematic account of research discoveries on multivariate Bonferroni-type inequalities published in the past decade. The emergence of new bounding approaches pushes the conventional definitions of optimal inequalities and demands new insights into linear and Fréchet optimality. The book explores these advances in bounding techniques with corresponding innovative applications. It presents the method of linear programming for multivariate bounds, multivariate hybrid bounds, sub-Markovian bounds, and bounds using Hamilton circuits. The first half of the book describes basic concepts and methods in probability inequalities. The author introduces the classification of univariate and multivariate bounds with optimality, discusses multivariate bounds using indicator functions, and explores linear programming for bivariate upper and lower bounds. The second half addresses bounding results and applications of multivariate Bonferroni-type inequalities. The book shows how to construct new multiple testing procedures with probability upper bounds and goes beyond bivariate upper bounds by considering vectorized upper and hybrid bounds. It presents an optimization algorithm for bivariate and multivariate lower bounds and covers vectorized high-dimensional lower bounds with refinements, such as Hamilton-type circuits and sub-Markovian events. The book concludes with applications of probability inequalities in molecular cancer therapy, big data analysis, and more.

Bonferroni-type Inequalities with Applications

Author : Janos Galambos
Publisher : Probability and Its Applications
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bonferroni-type Inequalities with Applications by : Janos Galambos

Download or read book Bonferroni-type Inequalities with Applications written by Janos Galambos and published by Probability and Its Applications. This book was released on 1996-08-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bonferroni-Type Inequalities with Applications presents a large variety of extensions of the methods of inclusion and exclusion. Both methods for generating and methods for proof of such inequalities are discussed. The inequalities are utilized for finding classical probability estimates to modern extreme value theory and combinatorial counting to random subset selection. Applications are given in prime number theory, growth of digits in different algorithms, and in statistics such as estimates of confidence levels of simultaneous interval estimation. The prerequisites include the basic concepts of probability theory and familiarity with combinatorial arguments.

Multiple Comparisons, Selection and Applications in Biometry

Author : Fred. M. Hoppe
Publisher : CRC Press
ISBN 13 : 1000148130
Total Pages : 580 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Multiple Comparisons, Selection and Applications in Biometry by : Fred. M. Hoppe

Download or read book Multiple Comparisons, Selection and Applications in Biometry written by Fred. M. Hoppe and published by CRC Press. This book was released on 2021-10-01 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aims to provide in-depth descriptions of the latest developments in multiple comparison methods and selection procedures, while emphasizing biometry. This text is published in honour of the 70th birthday of Charles W. Dunnett - a pioneer in statistical methodology.

Probability Theory and Applications

Author : J. Galambos
Publisher : Springer Science & Business Media
ISBN 13 : 9401128170
Total Pages : 359 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Probability Theory and Applications by : J. Galambos

Download or read book Probability Theory and Applications written by J. Galambos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains twenty-two original contributions by leading scientists in many important areas of probability theory and its applications. The material also includes significant new results. Together this collection of papers provides a good state-of-the-art survey of current research in the following areas: inequalities; limit theorems; renewal theory and reliability theory; characterizations of distributions; infinite divisibility of polynomials of normal variables; limiting distributions for order statistics; stochastic processes; functional equations in engineering model building; and probabilistic number theory.

Advances in Stochastic Inequalities

Author : Theodore Preston Hill
Publisher : American Mathematical Soc.
ISBN 13 : 0821810863
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Advances in Stochastic Inequalities by : Theodore Preston Hill

Download or read book Advances in Stochastic Inequalities written by Theodore Preston Hill and published by American Mathematical Soc.. This book was released on 1999 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains 15 articles based on invited talks given at an AMS Special Session on 'Stochastic Inequalities and Their Applications' held at Georgia Institute of Technology (Atlanta). This book includes articles that offer a comprehensive picture of this area of mathematical probability and statistics.

Probability Inequalities in Multivariate Distributions

Author : Y. L. Tong
Publisher : Academic Press
ISBN 13 : 1483269213
Total Pages : 256 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Probability Inequalities in Multivariate Distributions by : Y. L. Tong

Download or read book Probability Inequalities in Multivariate Distributions written by Y. L. Tong and published by Academic Press. This book was released on 2014-07-10 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Inequalities

Author : Moshe Shaked
Publisher : IMS
ISBN 13 : 9780940600294
Total Pages : 434 pages
Book Rating : 4.6/5 (2 download)

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Book Synopsis Stochastic Inequalities by : Moshe Shaked

Download or read book Stochastic Inequalities written by Moshe Shaked and published by IMS. This book was released on 1992 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Statistical Dependence

Author : Henry W. Block
Publisher : IMS
ISBN 13 : 9780940600232
Total Pages : 558 pages
Book Rating : 4.6/5 (2 download)

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Book Synopsis Topics in Statistical Dependence by : Henry W. Block

Download or read book Topics in Statistical Dependence written by Henry W. Block and published by IMS. This book was released on 1990 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability and Statistical Models with Applications

Author : CH. A. Charalambides
Publisher : CRC Press
ISBN 13 : 1420036084
Total Pages : 665 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Probability and Statistical Models with Applications by : CH. A. Charalambides

Download or read book Probability and Statistical Models with Applications written by CH. A. Charalambides and published by CRC Press. This book was released on 2000-09-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph of carefully collected articles reviews recent developments in theoretical and applied statistical science, highlights current noteworthy results and illustrates their applications; and points out possible new directions to pursue. With its enlightening account of statistical discoveries and its numerous figures and tables, Probabili

Scan Statistics

Author : Joseph Glaz
Publisher : Springer Science & Business Media
ISBN 13 : 1475734603
Total Pages : 380 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Scan Statistics by : Joseph Glaz

Download or read book Scan Statistics written by Joseph Glaz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many statistical applications, scientists have to analyze the occurrence of observed clusters of events in time or space. Scientists are especially interested in determining whether an observed cluster of events has occurred by chance if it is assumed that the events are distributed independently and uniformly over time or space. Scan statistics have relevant applications in many areas of science and technology including geology, geography, medicine, minefield detection, molecular biology, photography, quality control and reliability theory and radio-optics.

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9401512884
Total Pages : 595 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.

Scan Statistics and Applications

Author : Joseph Glaz
Publisher : Springer Science & Business Media
ISBN 13 : 1461215781
Total Pages : 334 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Scan Statistics and Applications by : Joseph Glaz

Download or read book Scan Statistics and Applications written by Joseph Glaz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of scan statistics and their applications to many different scientific and engineering problems have received considerable attention in the literature recently. In addition to challenging theoretical problems, the area of scan statis tics has also found exciting applications in diverse disciplines such as archaeol ogy, astronomy, epidemiology, geography, material science, molecular biology, reconnaissance, reliability and quality control, sociology, and telecommunica tion. This will be clearly evident when one goes through this volume. In this volume, we have brought together a collection of experts working in this area of research in order to review some of the developments that have taken place over the years and also to present their new works and point out some open problems. With this in mind, we selected authors for this volume with some having theoretical interests and others being primarily concerned with applications of scan statistics. Our sincere hope is that this volume will thus provide a comprehensive survey of all the developments in this area of research and hence will serve as a valuable source as well as reference for theoreticians and applied researchers. Graduate students interested in this area will find this volume to be particularly useful as it points out many open challenging problems that they could pursue. This volume will also be appropriate for teaching a graduate-level special course on this topic.

Principles of Data Mining and Knowledge Discovery

Author : Tapio Elomaa
Publisher : Springer
ISBN 13 : 3540456813
Total Pages : 534 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Principles of Data Mining and Knowledge Discovery by : Tapio Elomaa

Download or read book Principles of Data Mining and Knowledge Discovery written by Tapio Elomaa and published by Springer. This book was released on 2003-08-02 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th European Conference on Principles of Data Mining and Knowledge Discovery, PKDD 2002, held in Helsinki, Finland in August 2002. The 39 revised full papers presented together with 4 invited contributions were carefully reviewed and selected from numerous submissions. Among the topics covered are kernel methods, probabilistic methods, association rule mining, rough sets, sampling algorithms, pattern discovery, web text mining, meta data clustering, rule induction, information extraction, dependency detection, rare class prediction, classifier systems, text classification, temporal sequence analysis, unsupervised learning, time series analysis, medical data mining, etc.

CRC Concise Encyclopedia of Mathematics

Author : Eric W. Weisstein
Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Classification, Data Analysis, and Knowledge Organization

Author : Hans-Hermann Bock
Publisher : Springer Science & Business Media
ISBN 13 : 3642763073
Total Pages : 404 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Classification, Data Analysis, and Knowledge Organization by : Hans-Hermann Bock

Download or read book Classification, Data Analysis, and Knowledge Organization written by Hans-Hermann Bock and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: In science, industry, public administration and documentation centers large amounts of data and information are collected which must be analyzed, ordered, visualized, classified and stored efficiently in order to be useful for practical applications. This volume contains 50 selected theoretical and applied papers presenting a wealth of new and innovative ideas, methods, models and systems which can be used for this purpose. It combines papers and strategies from two main streams of research in an interdisciplinary, dynamic and exciting way: On the one hand, mathematical and statistical methods are described which allow a quantitative analysis of data, provide strategies for classifying objects or making exploratory searches for interesting structures, and give ways to make comprehensive graphical displays of large arrays of data. On the other hand, papers related to information sciences, informatics and data bank systems provide powerful tools for representing, modelling, storing and retrieving facts, data and knowledge characterized by qualitative descriptors, semantic relations, or linguistic concepts. The integration of both fields and a special part on applied problems from biology, medicine, archeology, industry and administration assure that this volume will be informative and useful for theory and practice.

Advances in Combinatorial Methods and Applications to Probability and Statistics

Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 1461241405
Total Pages : 576 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Advances in Combinatorial Methods and Applications to Probability and Statistics by : N. Balakrishnan

Download or read book Advances in Combinatorial Methods and Applications to Probability and Statistics written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics. This is clearly evident from his lifetime publications list and the numerous citations his publications have received over the past three decades. My association with him began in 1982 when I came to McMaster Univer sity. Since then, I have been associated with him on many different issues at professional as well as cultural levels; I have benefited greatly from him on both these grounds. I have enjoyed very much being his colleague in the statistics group here at McMaster University and also as his friend. While I admire him for his honesty, sincerity and dedication, I appreciate very much his kindness, modesty and broad-mindedness. Aside from our common interest in mathematics and statistics, we both have great love for Indian classical music and dance. We have spent numerous many different subjects associated with the Indian music and hours discussing dance. I still remember fondly the long drive (to Amherst, Massachusetts) I had a few years ago with him and his wife, Shantimayee, and all the hearty discussions we had during that journey. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past.

Statistical Theory and Applications

Author : H.N. Nagaraja
Publisher : Springer Science & Business Media
ISBN 13 : 1461239907
Total Pages : 332 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Statistical Theory and Applications by : H.N. Nagaraja

Download or read book Statistical Theory and Applications written by H.N. Nagaraja and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Herbert A. David of Iowa State University will be turning 70 on December 19, 1995. He is reaching this milestone in life with a very distinguished career as a statistician, educator and administrator. We are bringing out this volume in his honor to celebrate this occasion and to recognize his contributions to order statistics, biostatistics and design of experiments, among others; and to the statistical profession in general. With great admiration, respect and pleasure we dedicate this festschrift to Professor Herbert A. David, also known as Herb and H.A. among his friends, colleagues and students. When we began this project in Autumn 1993 and contacted potential contributors from the above group, the enthu siasm was phenomenal. The culmination of this collective endeavor is this volume that is being dedicated to him to celebrate his upcoming birthday. Several individuals have contributed in various capacities to the success ful completion of this project. We sincerely thank the authors of the papers appearing here. Without their dedicated work, we would just have this pref ace! Many of them have served as (anonymous) referees as well. In addition, we are thankful to the following colleagues for their time and advice: John Bunge (Cornell), Z. Govindarajulu (Kentucky), John Klein (Medical U.