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Mathematical Statistics - Basic Ideas and Selected Topics, Volume II (Hardcover)
Loot Price: R2,695
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Mathematical Statistics - Basic Ideas and Selected Topics, Volume II (Hardcover)
Series: Chapman & Hall/CRC Texts in Statistical Science
Expected to ship within 9 - 15 working days
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Mathematical Statistics: Basic Ideas and Selected Topics, Volume II
presents important statistical concepts, methods, and tools not
covered in the authors' previous volume. This second volume focuses
on inference in non- and semiparametric models. It not only
reexamines the procedures introduced in the first volume from a
more sophisticated point of view but also addresses new problems
originating from the analysis of estimation of functions and other
complex decision procedures and large-scale data analysis. The book
covers asymptotic efficiency in semiparametric models from the Le
Cam and Fisherian points of view as well as some finite sample size
optimality criteria based on Lehmann-Scheffe theory. It develops
the theory of semiparametric maximum likelihood estimation with
applications to areas such as survival analysis. It also discusses
methods of inference based on sieve models and asymptotic testing
theory. The remainder of the book is devoted to model and variable
selection, Monte Carlo methods, nonparametric curve estimation, and
prediction, classification, and machine learning topics. The
necessary background material is included in an appendix. Using the
tools and methods developed in this textbook, students will be
ready for advanced research in modern statistics. Numerous examples
illustrate statistical modeling and inference concepts while
end-of-chapter problems reinforce elementary concepts and introduce
important new topics. As in Volume I, measure theory is not
required for understanding. The solutions to exercises for Volume
II are included in the back of the book. Check out Volume I for
fundamental, classical statistical concepts leading to the material
in this volume.
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