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The field of statistics not only affects all areas of scientific
activity, but also many other matters such aspublic policy. It is
branching rapidly into so many different subjects that a series of
handbooks is the only way of comprehensively presenting the various
aspects of statistical methodology, applications, and recent
developments.
The Handbook of Statistics, a series of self-contained reference
books. Each volume is devoted to a particular topic in statistics
with Volume 28 dealing with bioinformatics. Every chapter is
written by prominent workers in the area to which the volume is
devoted. The series is addressed to the entire community of
statisticians and scientists in various disciplines who use
statistical methodology in their work. At the same time, special
emphasis is placed on applications-oriented techniques, with the
applied statistician in mind as the primary audience.
Comprehensively presents the various aspects of statistical
methodologyDiscusses a wide variety of diverse applications and
recent developmentsContributors are internationally renowned
experts in their respective areas"
The first edition of Theory of Rank Tests (1967) has been the
precursor to a unified and theoretically motivated treatise of the
basic theory of tests based on ranks of the sample observations.
For more than 25 years, it helped raise a generation of
statisticians in cultivating their theoretical research in this
fertile area, as well as in using these tools in their application
oriented research. The present edition not only aims to revive this
classical text by updating the findings but also by incorporating
several other important areas which were either not properly
developed before 1965 or have gone through an evolutionary
development during the past 30 years. This edition therefore aims
to fulfill the needs of academic as well as professional
statisticians who want to pursue nonparametrics in their academic
projects, consultation, and applied research works.
Key Features
* Asymptotic Methods
* Nonparametrics
* Convergence of Probability Measures
* Statistical Inference
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."
This text bridges the gap between sound theoretcial developments
and practical, fruitful methodology by providing solid
justification for standard symptotic statistical methods. It
contains a unified survey of standard large sample theory and
provides access to more complex statistical models that arise in
diverse practical applications.
This text bridges the gap between sound theoretcial developments
and practical, fruitful methodology by providing solid
justification for standard symptotic statistical methods. It
contains a unified survey of standard large sample theory and
provides access to more complex statistical models that arise in
diverse practical applications.
Exact statistical inference may be employed in diverse fields of
science and technology. As problems become more complex and sample
sizes become larger, mathematical and computational difficulties
can arise that require the use of approximate statistical methods.
Such methods are justified by asymptotic arguments but are still
based on the concepts and principles that underlie exact
statistical inference. With this in perspective, this book presents
a broad view of exact statistical inference and the development of
asymptotic statistical inference, providing a justification for the
use of asymptotic methods for large samples. Methodological results
are developed on a concrete and yet rigorous mathematical level and
are applied to a variety of problems that include categorical data,
regression, and survival analyses. This book is designed as a
textbook for advanced undergraduate or beginning graduate students
in statistics, biostatistics, or applied statistics but may also be
used as a reference for academic researchers.
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."
On behalf of those of us who in various ways have con tributed to
this volume, and on behalf of all of his colleagues, students and
friends throughout the world-wide scientific com munity, we
dedicate this volume to Gopinath Kallianpur as a tribute to his
work and in appreciation for the insights which he has so
graciously and generously offered, and continues to offer, to all
of us. Stochastic Processes contains 41 articles related to and
frequently influ enced by Kallianpur's work. We regret that space
considerations prevented us from including contributions from his
numerous colleagues (at North Carolina, lSI, Minnesota, Michigan),
former students, co-authors and other eminent scientists whose work
is akin to Kallianpur's. This would have taken several more volumes
All articles have been refereed, and for their valuable assistance
in this we thank many of the contributing authors, as well as: R.
Bradley, M.H.A. Davis, R. Davis, J. Hawkins, J. Horowitz, C.
Houdre, N.C. Jain, C. Ji, P. Kokoszka, T. Kurtz, K.S. Lau, W.
Linde, D. Monrad, D. Stroook, D. Surgailis and S. Yakowitz. We also
thank June Maxwell for editorial assistance, Peggy Ravitch for help
with the production of the volume, and Lisa Brooks for secretarial
assistance. Finally, we are indebted to Dr. Martin Gilchrist, the
Statistics editor, and the Springer editorial board for their
excellent cooperation and enthusiastic support throughout this
project."
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