Honoring the Contributions of Barry C. Arnold in Statistical Science
Features research topics inspired by the substantial contributions of
Professor Barry C. Arnold to probability and statistics, in areas such as
distribution theory, order statistics, stochastic processes, statistical modeling,
characterizations, inequality measurement, multivariate distributions, and
statistical inference
Provides the timely updates and recent developments on some essential and
emerging areas of probability, statistics, and biostatistics
Presents some novel statistical methodologies and theories and the related
important future research directions as well as potential practical
applications in social sciences, economics, engineering, and medical sciences
This edited collection brings together internationally recognized experts in a range of areas of
statistical science to honor the contributions of the distinguished statistician, Barry C. Arnold. A
pioneering scholar and professor of statistics at the University of California, Riverside, Dr. Arnold
has made exceptional advancements in different areas of probability, statistics, and biostatistics,
especially in the areas of distribution theory, order statistics, and statistical inference. As a
tribute to his work, this book presents novel developments in the field, as well as practical
applications and potential future directions in research and industry. It will be of interest to
graduate students and researchers in probability, statistics, and biostatistics, as well as
practitioners and technicians in the social sciences, economics, engineering, and medical
sciences.
Due 2021-03-07
1st ed. 2021, X, 340 p. 61 illus., 43 illus. in color.
Hardcover
ISBN 978-3-030-62899-4
Product category : Contributed volume
Series : Emerging Topics in Statistics and Biostatistics
Statistics : Statistical Theory and Methods
Features exercises and real examples throughout, to ensure retention of
information
Offers an up-to-date account of theory and methods in the analysis of these
models as well as their applications in various fields
Provides a comprehensive coverage of linear mixed models and generalized
linear mixed models
Now in its second edition, this book covers two major classes of mixed effects models?linear
mixed models and generalized linear mixed models?and it presents an up-to-date account of
theory and methods in analysis of these models as well as their applications in various fields.
It offers a systematic approach to inference about non-Gaussian linear mixed models.
Furthermore, it discusses the latest developments and methods in the field, incorporating
relevant updates since publication of the first edition. These include advances in highdimensional
linear mixed models in genome-wide association studies (GWAS), advances in
inference about generalized linear mixed models with crossed random effects, new methods in
mixed model prediction, mixed model selection, and mixed model diagnostics. This book is
suitable for students, researchers, and practitioners who are interested in using mixed models
for statistical data analysis with public health applications. It is best for graduate courses in
statistics, or for those who have taken a first course in mathematical statistics, are familiar with
using computers for data analysis, and have a foundational background in calculus and linear
algebra.
Due 2021-03-27
2nd ed. 2021, X, 338 p.
Hardcover
ISBN 978-1-0716-1281-1
Product category : Monograph
Series : Springer Series in Statistics
Statistics : Statistics for Life Sciences, Medicine, Health Sciences
Explores the Brouwer degree and its continuing impact on the development of
nonlinear analysis
Uses an analytical approach with the language of differential forms to
introduce the Brouwer degree with simplicity and clear motivation
Presents a broad view of the topic, including a wide variety of applications as
well as numerous historical notes
This monograph explores the concept of the Brouwer degree and its continuing impact on the
development of important areas of nonlinear analysis. The authors define the degree using an
analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004,
linking it to the Kronecker index and employing the language of differential forms. The
chapters are organized so that they can be approached in various ways depending on the
interests of the reader. Unifying this structure is the central role the Brouwer degree plays in
nonlinear analysis, which is illustrated with existence, surjectivity, and fixed point theorems for
nonlinear mappings. Special attention is paid to the computation of the degree, as well as to
the wide array of applications, such as linking, differential and partial differential equations,
difference equations, variational and hemivariational inequalities, game theory, and mechanics.
Each chapter features bibliographic and historical notes, and the final chapter examines the full
history. Brouwer Degree will serve as an authoritative reference on the topic and will be of
interest to professional mathematicians, researchers, and graduate students.
Due 2021-04-14
1st ed. 2021, X, 424 p.
Hardcover
ISBN 978-3-030-63229-8
Product category : Monograph
Series : Progress in Nonlinear Differential Equations and Their Applications
Mathematics : Functional Analysis
Presents a unified treatment of probability theory in a thoroughly revised and
substantially extended 3rd edition of a classic text
Uses powerful modern techniques to go far beyond what is available in any
other book and contains much basic material that has not been previously
available in the textbook literature
The numerous exercises and self-contained chapters make the book ideal for
self-study and for graduate-level courses and seminars
Invites the reader to go beyond the presented material via its extensive notes
and detailed bibliography
This new, thoroughly revised and expanded3rdedition of a classic gives a comprehensive
coverage of modern probability in a single book. It is a truly modern text, providing not only
classical results but also material that will be important for future research. Much has been
added to the previous edition, including eight entirely new chapters on subjects like random
measures, Malliavin calculus, multivariate arrays, and stochastic differential geometry. Apart
from important improvements and revisions, some of the earlier chapters have been entirely
rewritten. To help the reader, the material has been grouped together into ten major areas,
each arguably indispensable to any serious graduate student and researcher, regardless of
their specialization. Each chapter is largely self-contained and includes plenty of exercises,
making the book ideal for self-study and for designing graduate-level courses and seminars in
different areas and at different levels. Extensive notes and a detailed bibliography make it easy
to go beyond the presented material if desired. From the reviews of the first edition: “…readers
are likely to regard the book as an ideal reference. Indeed the monograph has the potential to
become a (possibly even “the”) major reference book on large parts of probability theory for
the next decade or more.”M. Scheutzow, zbMATH “…great edifice of material, clearly and
ingeniously presented, without any non-mathematical distractions. Readers … are in very
capable hands.”F. B.
Due 2021-03-09
3rd ed. 2021, XII, 946 p. 1 illus.
In 2 volumes, not available separately.
Hardcover
ISBN 978-3-030-61870-4
Product category : Graduate/advanced undergraduate textbook
Series : Probability Theory and Stochastic Modelling
Mathematics : Probability Theory and Stochastic Processes
Examines representation theory as connected with affine Lie algebras and
their quantum analogues
Presents a broad view of the area, including mini-courses, surveys, and
original research
Celebrates the significant impact Vyjayanthi Chari has had on this area of
research
This volume collects chapters that examine representation theory as connected with affine Lie
algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had
on this area. The opening chapters are based on mini-courses given at the conference
“Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and
Categorification”, held on the occasion of Chari’s 60th birthday at the Catholic University of
America in Washington D.C., June 2018. The chapters that follow present a broad view of the
area, featuring surveys, original research, and an overview of Vyjayanthi Chari’s significant
contributions. Written by distinguished experts in representation theory, a range of topics are
covered, including: String diagrams and categorification Quantum affine algebras and cluster
algebras Steinberg groups for Jordan pairs Dynamical quantum determinants and Pfaffians
Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and
Categorification will be an ideal resource for researchers in the fields of representation theory
and mathematical physics.
Due 2021-05-15
1st ed. 2021, XI, 387 p. 123 illus.
Hardcover
ISBN 978-3-030-63848-1
Product category : Contributed volume
Series : Progress in Mathematics
Mathematics : Associative Rings and Algebras