Some Extensions of U- and V- Statistics

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ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Some Extensions of U- and V- Statistics by : Shwu-Rong Shieh

Download or read book Some Extensions of U- and V- Statistics written by Shwu-Rong Shieh and published by . This book was released on 1990 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin - Institute of Mathematical Statistics

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ISBN 13 :
Total Pages : 674 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Bulletin - Institute of Mathematical Statistics by : Institute of Mathematical Statistics

Download or read book Bulletin - Institute of Mathematical Statistics written by Institute of Mathematical Statistics and published by . This book was released on 1993 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Statistical Analysis of Doubly Truncated Data

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Publisher : John Wiley & Sons
ISBN 13 : 1119500478
Total Pages : 196 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis The Statistical Analysis of Doubly Truncated Data by : Jacobo de Uña-Álvarez

Download or read book The Statistical Analysis of Doubly Truncated Data written by Jacobo de Uña-Álvarez and published by John Wiley & Sons. This book was released on 2021-11-10 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough treatment of the statistical methods used to analyze doubly truncated data In The Statistical Analysis of Doubly Truncated Data, an expert team of statisticians delivers an up-to-date review of existing methods used to deal with randomly truncated data, with a focus on the challenging problem of random double truncation. The authors comprehensively introduce doubly truncated data before moving on to discussions of the latest developments in the field. The book offers readers examples with R code along with real data from astronomy, engineering, and the biomedical sciences to illustrate and highlight the methods described within. Linear regression models for doubly truncated responses are provided and the influence of the bandwidth in the performance of kernel-type estimators, as well as guidelines for the selection of the smoothing parameter, are explored. Fully nonparametric and semiparametric estimators are explored and illustrated with real data. R code for reproducing the data examples is also provided. The book also offers: A thorough introduction to the existing methods that deal with randomly truncated data Comprehensive explorations of linear regression models for doubly truncated responses Practical discussions of the influence of bandwidth in the performance of kernel-type estimators and guidelines for the selection of the smoothing parameter In-depth examinations of nonparametric and semiparametric estimators Perfect for statistical professionals with some background in mathematical statistics, biostatisticians, and mathematicians with an interest in survival analysis and epidemiology, The Statistical Analysis of Doubly Truncated Data is also an invaluable addition to the libraries of biomedical scientists and practitioners, as well as postgraduate students studying survival analysis.

Degenerate U- and V-statistics Under Weak Dependence

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (846 download)

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Book Synopsis Degenerate U- and V-statistics Under Weak Dependence by : Anne Leucht

Download or read book Degenerate U- and V-statistics Under Weak Dependence written by Anne Leucht and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous test statistics can be approximated by statistics of U- or V-type. In the case of i.i.d. random variables the limit distribution can be derived by a spectral decomposition of the kernel if the latter is square integrable. To use the same method for dependent data, restrictive assumptions on the associated eigenvalues and eigenfunctions are required. In the majority of cases, it is quite complicated or even impossible to check these conditions. Therefore we employ a wavelet decomposition of the kernel in order to derive the asymptotic distributions of U- and V-statistics for weakly dependent data. This approach only requires some moment constraints and smoothness assumptions concerning the kernel. The asymptotic distributions of U- and V-statistics for both independent and weakly dependent observations cannot be used directly since they depend on certain parameters, which in turn depend on the underlying situation in a complicated way. Therefore, problems arise as soon as critical values for test statistics of U- and V-type have to be determined. The bootstrap offers a convenient way to circumvent these problems, see [3] for the i.i.d. case. We derive the consistency of general bootstrap methods for statistics of weakly dependent data.

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Publisher : IOS Press
ISBN 13 :
Total Pages : 4947 pages
Book Rating : 4./5 ( download)

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Download or read book written by and published by IOS Press. This book was released on with total page 4947 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dissertation Abstracts International

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ISBN 13 :
Total Pages : 758 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1991 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods and Applications of Statistics in the Life and Health Sciences

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Publisher : John Wiley & Sons
ISBN 13 : 0470405090
Total Pages : 1027 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Methods and Applications of Statistics in the Life and Health Sciences by : Narayanaswamy Balakrishnan

Download or read book Methods and Applications of Statistics in the Life and Health Sciences written by Narayanaswamy Balakrishnan and published by John Wiley & Sons. This book was released on 2009-12-02 with total page 1027 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by the Encyclopedia of Statistical Sciences, Second Edition, this volume outlines the statistical tools for successfully working with modern life and health sciences research Data collection holds an essential part in dictating the future of health sciences and public health, as the compilation of statistics allows researchers and medical practitioners to monitor trends in health status, identify health problems, and evaluate the impact of health policies and programs. Methods and Applications of Statistics in the Life and Health Sciences serves as a single, one-of-a-kind resource on the wide range of statistical methods, techniques, and applications that are applied in modern life and health sciences in research. Specially designed to present encyclopedic content in an accessible and self-contained format, this book outlines thorough coverage of the underlying theory and standard applications to research in related disciplines such as biology, epidemiology, clinical trials, and public health. Uniquely combining established literature with cutting-edge research, this book contains classical works and more than twenty-five new articles and completely revised contributions from the acclaimed Encyclopedia of Statistical Sciences, Second Edition. The result is a compilation of more than eighty articles that explores classic methodology and new topics, including: Sequential methods in biomedical research Statistical measures of human quality of life Change-point methods in genetics Sample size determination for clinical trials Mixed-effects regression models for predicting pre-clinical disease Probabilistic and statistical models for conception Statistical methods are explored and applied to population growth, disease detection and treatment, genetic and genomic research, drug development, clinical trials, screening and prevention, and the assessment of rehabilitation, recovery, and quality of life. These topics are explored in contributions written by more than 100 leading academics, researchers, and practitioners who utilize various statistical practices, such as election bias, survival analysis, missing data techniques, and cluster analysis for handling the wide array of modern issues in the life and health sciences. With its combination of traditional methodology and newly developed research, Methods and Applications of Statistics in the Life and Health Sciences has everything students, academics, and researchers in the life and health sciences need to build and apply their knowledge of statistical methods and applications.

Data Driven Statistical Methods

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Publisher : Routledge
ISBN 13 : 1351456563
Total Pages : 406 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Data Driven Statistical Methods by : Peter Sprent

Download or read book Data Driven Statistical Methods written by Peter Sprent and published by Routledge. This book was released on 2019-12-06 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculations once prohibitively time-consuming can be completed in microseconds by modern computers. This has resulted in dramatic shifts in emphasis in applied statistics. Not only has it freed us from an obsession with the 5% and 1% significance levels imposed by conventional tables but many exact estimation procedures based on randomization tests are now as easy to carry out as approximations based on normal distribution theory. In a wider context it has facilitated the everyday use of tools such as the bootstrap and robust estimation methods as well as diagnostic tests for pinpointing or for adjusting possible aberrations or contamination that may otherwise be virtually undetectable in complex data sets. Data Driven Statistical Methods provides an insight into modern developments in statistical methodology using examples that highlight connections between these techniques as well as their relationship to other established approaches. Illustration by simple numerical examples takes priority over abstract theory. Examples and exercises are selected from many fields ranging from studies of literary style to analysis of survival data from clinical files, from psychological tests to interpretation of evidence in legal cases. Users are encouraged to apply the methods to their own or other data sets relevant to their fields of interest. The book will appeal both to lecturers giving undergraduate mainstream or service courses in statistics and to newly-practising statisticians or others concerned with data interpretation in any discipline who want to make the best use of modern statistical computer software.

Group Theory, Statistics, and Cryptography

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834444
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Group Theory, Statistics, and Cryptography by : Alexei G. Myasnikov

Download or read book Group Theory, Statistics, and Cryptography written by Alexei G. Myasnikov and published by American Mathematical Soc.. This book was released on 2004 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of contributions by speakers at the AMS Special Session on Combinatorial and Statistical Group Theory held at New York University. Readers will find a variety of contributions, including survey papers on applications of group theory in cryptography, research papers on various aspects of statistical group theory, and papers on more traditional combinatorial group theory. The book is suitable for graduate students and research mathematicians interested in group theory and its applications to cryptography.

Probabilistic Foundations of Statistical Network Analysis

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Publisher : CRC Press
ISBN 13 : 1351807323
Total Pages : 363 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Probabilistic Foundations of Statistical Network Analysis by : Harry Crane

Download or read book Probabilistic Foundations of Statistical Network Analysis written by Harry Crane and published by CRC Press. This book was released on 2018-04-17 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic Foundations of Statistical Network Analysis presents a fresh and insightful perspective on the fundamental tenets and major challenges of modern network analysis. Its lucid exposition provides necessary background for understanding the essential ideas behind exchangeable and dynamic network models, network sampling, and network statistics such as sparsity and power law, all of which play a central role in contemporary data science and machine learning applications. The book rewards readers with a clear and intuitive understanding of the subtle interplay between basic principles of statistical inference, empirical properties of network data, and technical concepts from probability theory. Its mathematically rigorous, yet non-technical, exposition makes the book accessible to professional data scientists, statisticians, and computer scientists as well as practitioners and researchers in substantive fields. Newcomers and non-quantitative researchers will find its conceptual approach invaluable for developing intuition about technical ideas from statistics and probability, while experts and graduate students will find the book a handy reference for a wide range of new topics, including edge exchangeability, relative exchangeability, graphon and graphex models, and graph-valued Levy process and rewiring models for dynamic networks. The author’s incisive commentary supplements these core concepts, challenging the reader to push beyond the current limitations of this emerging discipline. With an approachable exposition and more than 50 open research problems and exercises with solutions, this book is ideal for advanced undergraduate and graduate students interested in modern network analysis, data science, machine learning, and statistics. Harry Crane is Associate Professor and Co-Director of the Graduate Program in Statistics and Biostatistics and an Associate Member of the Graduate Faculty in Philosophy at Rutgers University. Professor Crane’s research interests cover a range of mathematical and applied topics in network science, probability theory, statistical inference, and mathematical logic. In addition to his technical work on edge and relational exchangeability, relative exchangeability, and graph-valued Markov processes, Prof. Crane’s methods have been applied to domain-specific cybersecurity and counterterrorism problems at the Foreign Policy Research Institute and RAND’s Project AIR FORCE.

Statistical Properties of Deterministic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540853677
Total Pages : 248 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Statistical Properties of Deterministic Systems by : Jiu Ding

Download or read book Statistical Properties of Deterministic Systems written by Jiu Ding and published by Springer Science & Business Media. This book was released on 2010-06-28 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.

Mathematical Tools for Data Mining

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Publisher : Springer Science & Business Media
ISBN 13 : 1848002017
Total Pages : 615 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Mathematical Tools for Data Mining by : Dan A. Simovici

Download or read book Mathematical Tools for Data Mining written by Dan A. Simovici and published by Springer Science & Business Media. This book was released on 2008-08-15 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume was born from the experience of the authors as researchers and educators,whichsuggeststhatmanystudentsofdataminingarehandicapped in their research by the lack of a formal, systematic education in its mat- matics. The data mining literature contains many excellent titles that address the needs of users with a variety of interests ranging from decision making to p- tern investigation in biological data. However, these books do not deal with the mathematical tools that are currently needed by data mining researchers and doctoral students. We felt it timely to produce a book that integrates the mathematics of data mining with its applications. We emphasize that this book is about mathematical tools for data mining and not about data mining itself; despite this, a substantial amount of applications of mathematical c- cepts in data mining are presented. The book is intended as a reference for the working data miner. In our opinion, three areas of mathematics are vital for data mining: set theory,includingpartially orderedsetsandcombinatorics;linear algebra,with its many applications in principal component analysis and neural networks; and probability theory, which plays a foundational role in statistics, machine learning and data mining. Thisvolumeisdedicatedtothestudyofset-theoreticalfoundationsofdata mining. Two further volumes are contemplated that will cover linear algebra and probability theory. The ?rst part of this book, dedicated to set theory, begins with a study of functionsandrelations.Applicationsofthesefundamentalconceptstosuch- sues as equivalences and partitions are discussed. Also, we prepare the ground for the following volumes by discussing indicator functions, ?elds and?-?elds, and other concepts.

Linear Algebra Tools for Data Mining

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Publisher : World Scientific
ISBN 13 : 9814383503
Total Pages : 878 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Linear Algebra Tools for Data Mining by : Dan A. Simovici

Download or read book Linear Algebra Tools for Data Mining written by Dan A. Simovici and published by World Scientific. This book was released on 2012 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume presents the foundations of linear algebra ideas and techniques applied to data mining and related fields. Linear algebra has gained increasing importance in data mining and pattern recognition, as shown by the many current data mining publications, and has a strong impact in other disciplines like psychology, chemistry, and biology. The basic material is accompanied by more than 550 exercises and supplements, many accompanied with complete solutions and MATLAB applications.

Maxwell on Heat and Statistical Mechanics

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Publisher : Lehigh University Press
ISBN 13 : 9780934223348
Total Pages : 564 pages
Book Rating : 4.2/5 (233 download)

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Book Synopsis Maxwell on Heat and Statistical Mechanics by : James Clerk Maxwell

Download or read book Maxwell on Heat and Statistical Mechanics written by James Clerk Maxwell and published by Lehigh University Press. This book was released on 1995 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: . These papers shed light on the formation of Maxwell's ideas and theories within the structure of a professional scientific discipline, physics, that had only recently taken shape. While Maxwell responded to and relied on the work of his colleagues, his interpretations often placed his work apart from theirs, to be exploited by later generations of physicists.

Topics in Statistical Dependence

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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:

Conformal Invariance and Applications to Statistical Mechanics

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Publisher : World Scientific
ISBN 13 : 9789971506063
Total Pages : 1004 pages
Book Rating : 4.5/5 (6 download)

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Book Synopsis Conformal Invariance and Applications to Statistical Mechanics by : Claude Itzykson

Download or read book Conformal Invariance and Applications to Statistical Mechanics written by Claude Itzykson and published by World Scientific. This book was released on 1988 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains Introductory Notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, representations of infinite Lie algebras and automorphic functions.

Statistical Inference: Testing Of Hypotheses

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Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 812033728X
Total Pages : 414 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis Statistical Inference: Testing Of Hypotheses by : Srivastava & Srivastava

Download or read book Statistical Inference: Testing Of Hypotheses written by Srivastava & Srivastava and published by PHI Learning Pvt. Ltd.. This book was released on 2009-12 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: it emphasizes on J. Neyman and Egon Pearson's mathematical foundations of hypothesis testing, which is one of the finest methodologies of reaching conclusions on population parameter. Following Wald and Ferguson's approach, the book presents Neyman-Pearson theory under broader premises of decision theory resulting into simplification and generalization of results. On account of smooth mathematical development of this theory, the book outlines the main result on Lebesgue theory in abstract spaces prior to rigorous theoretical developments on most powerful (MP), uniformly most powerful (UMP) and UMP unbiased tests for different types of testing problems. Likelihood ratio tests their large sample properties to variety of testing situations and connection between confidence estimation and testing of hypothesis have been discussed in separate chapters. The book illustrates simplification of testing problems and reduction in dimensionality of class of tests resulting into existence of an optimal test through the principle of sufficiency and invariance. It concludes with rigorous theoretical developments on non-parametric tests including their optimality, asymptotic relative efficiency, consistency, and asymptotic null distribution.