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This book provides an account of weak convergence theory, empirical
processes, and their application to a wide variety of problems in
statistics. The first part of the book presents a thorough
treatment of stochastic convergence in its various forms. Part 2
brings together the theory of empirical processes in a form
accessible to statisticians and probabilists. In Part 3, the
authors cover a range of applications in statistics including rates
of convergence of estimators; limit theorems for M− and
Z−estimators; the bootstrap; the functional delta-method and
semiparametric estimation. Most of the chapters conclude with
“problems and complements.†Some of these are exercises to help
the reader’s understanding of the material, whereas others are
intended to supplement the text. This second edition
includes many of the new developments in the field since
publication of the first edition in 1996: Glivenko-Cantelli
preservation theorems; new bounds on expectations of suprema of
empirical processes; new bounds on covering numbers for various
function classes; generic chaining; definitive versions of
concentration bounds; and new applications in statistics including
penalized M-estimation, the lasso, classification, and support
vector machines. The approximately 200 additional pages also round
out classical subjects, including chapters on weak convergence in
Skorokhod space, on stable convergence, and on processes based on
pseudo-observations.
This book shares the theoretical advancements that have been made
regarding psychological ownership since the development of the
construct and specifically the practical applications within
multi-cultural and cross-cultural environments. Enriched by
empirical data and case studies by subject specialists in the
field, this book serves as a cutting-edge benchmark for human
resource management specialists, industrial psychologists, as well
as students in positive organizational psychology and professionals
in other fields. This book follows an in-depth view of the most
recent research trends in psychological ownership. Offering
practical tools of how the psychological ownership of employees
could be developed in the workplace to not only enhance the
performance of organisations, but to increase the commitment of
employees and influence the intentions of skilled employees to
remain with their organisations.
This book offers a range of approaches and specific examples of how
a sample of internationally leading research-intensive
universities, from a variety of regions around the world, work to
improve teaching and learning. It describes and analyzes broad
university initiatives and approaches that have the potential of
driving institution-wide change processes in teaching and learning,
thus providing a link between strategic ambitions and cultural
transformation in the universities. Globally, research-intensive
universities are increasingly pressured to increase their
performance in both research and education. However, while much
focus internationally has been devoted to how universities are
working to boost their research performance, less is known about
how internationally leading universities are working to improve
teaching and learning. Through comparative cases drawn from
universities in Europe, Asia and the US, key practices and lessons
are identified and showcased providing a unique insight into the
ways internationally leading research universities work to support
and enhance staff engagement in teaching and learning. It will be
essential reading for researchers and advanced students working in
Higher Education and Sociology, particularly those with an interest
in comparative studies.
Explosive growth in computing power has made Bayesian methods for
infinite-dimensional models - Bayesian nonparametrics - a nearly
universal framework for inference, finding practical use in
numerous subject areas. Written by leading researchers, this
authoritative text draws on theoretical advances of the past twenty
years to synthesize all aspects of Bayesian nonparametrics, from
prior construction to computation and large sample behavior of
posteriors. Because understanding the behavior of posteriors is
critical to selecting priors that work, the large sample theory is
developed systematically, illustrated by various examples of model
and prior combinations. Precise sufficient conditions are given,
with complete proofs, that ensure desirable posterior properties
and behavior. Each chapter ends with historical notes and numerous
exercises to deepen and consolidate the reader's understanding,
making the book valuable for both graduate students and researchers
in statistics and machine learning, as well as in application areas
such as econometrics and biostatistics.
This book explores weak convergence theory and empirical processes
and their applications to many applications in statistics. Part one
reviews stochastic convergence in its various forms. Part two
offers the theory of empirical processes in a form accessible to
statisticians and probabilists. Part three covers a range of topics
demonstrating the applicability of the theory to key questions such
as measures of goodness of fit and the bootstrap.
A new turn in mixed methods research is here: merged methods. This
provocative book offers a novel analysis of current mixed methods
research, complicating traditional approaches and challenging
existing techniques. Moving beyond the binary
quantitative-qualitative distinction, the book presents
methodologically grounded ways to merge methods in social research
and integrate interpretive and structural approaches in one
instrument or procedure. The book: Considers the importance of
merging both epistemologies and methodologies. Showcases eight
merged methods research approaches, from the Delphi method to
multimodal content analysis. Explores the opportunities for merging
methods using computational techniques, such as text mining. This
innovative book is a must-read for any postgraduate student or
researcher across the social sciences wanting to develop their
understanding of mixed methods research.
This new volume of the long-established St. Flour Summer School of Probability includes the notes of the three major lecture courses by Erwin Bolthausen on "Large Deviations and Iterating Random Walks", by Edwin Perkins on "Dawson-Watanabe Superprocesses and Measure-Valued Diffusions", and by Aad van der Vaart on "Semiparametric Statistics".
Here is a practical and mathematically rigorous introduction to the field of asymptotic statistics. In addition to most of the standard topics of an asymptotics course--likelihood inference, M-estimation, the theory of asymptotic efficiency, U-statistics, and rank procedures--the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes and their applications. The topics are organized from the central idea of approximation by limit experiments, one of the book's unifying themes that mainly entails the local approximation of the classical i.i.d. set up with smooth parameters by location experiments involving a single, normally distributed observation.
A new turn in mixed methods research is here: merged methods. This
provocative book offers a novel analysis of current mixed methods
research, complicating traditional approaches and challenging
existing techniques. Moving beyond the binary
quantitative-qualitative distinction, the book presents
methodologically grounded ways to merge methods in social research
and integrate interpretive and structural approaches in one
instrument or procedure. The book: Considers the importance of
merging both epistemologies and methodologies. Showcases eight
merged methods research approaches, from the Delphi method to
multimodal content analysis. Explores the opportunities for merging
methods using computational techniques, such as text mining. This
innovative book is a must-read for any postgraduate student or
researcher across the social sciences wanting to develop their
understanding of mixed methods research.
Statistics is the science that focuses on drawing conclusions from
data, by modeling and analyzing the data using probabilistic
models. In An Introduction to Mathematical Statistics the authors
describe key concepts from statistics and give a mathematical basis
for important statistical methods. Much attention is paid to the
sound application of those methods to data. The three main topics
in statistics are estimators, tests, and confidence regions. The
authors illustrate these in many examples, with a separate chapter
on regression models, including linear regression and analysis of
variance. They also discuss the optimality of estimators and tests,
as well as the selection of the best-fitting model. Each chapter
ends with a case study in which the described statistical methods
are applied. This book assumes a basic knowledge of probability
theory, calculus, and linear algebra. Several annexes are available
for Mathematical Statistics on this page.
This volume provides a multi-disciplinary perspective on grit, its
measurement, manifestation and development. Specifically, it
provides a comprehensive and balanced response to critiques
associated with the construct within the contemporary positive
psychological literature. These critiques revolve around the lack
of consensus in the conceptualisation, measurement, and management
of grit, as well as consensus on its difference from other
psychological constructs such as conscientiousness, diligence or
determination. Therefore, this volume thoroughly reappraises and
consolidates the nature, function, measurement and implications of
grit in order to effectively advance the science of achievement. It
looks at grit scales developed in various countries and evaluates
the concept in various aspects of life, from work performance to
sports. Written by a team of multi-disciplinary experts in fields
ranging from neuroscience, sociology, and education to human
resource management and psychology, this volume firmly positions
grit within the discipline of positive psychology's nomological
lexicon.
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