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Books > Business & Economics > Business & management > Management & management techniques > Operational research
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A Probability Path (Paperback, 2014 ed.)
Loot Price: R1,217
Discovery Miles 12 170
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A Probability Path (Paperback, 2014 ed.)
Series: Modern Birkhauser Classics
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Many probability books are written by mathematicians and have the
built-in bias that the reader is assumed to be a mathematician
coming to the material for its beauty. This textbook is geared
towards beginning graduate students from a variety of disciplines
whose primary focus is not necessarily mathematics for its own
sake. Instead, A Probability Path is designed for those requiring a
deep understanding of advanced probability for their research in
statistics, applied probability, biology, operations research,
mathematical finance, and engineering. A one-semester course is
laid out in an efficient and readable manner covering the core
material. The first three chapters provide a functioning knowledge
of measure theory. Chapter 4 discusses independence, with
expectation and integration covered in Chapter 5, followed by
topics on different modes of convergence, laws of large numbers
with applications to statistics (quantile and distribution function
estimation), and applied probability. Two subsequent chapters offer
a careful treatment of convergence in distribution and the central
limit theorem. The final chapter treats conditional expectation and
martingales, closing with a discussion of two fundamental theorems
of mathematical finance. Like Adventures in Stochastic Processes,
Resnick's related and very successful textbook, A Probability Path
is rich in appropriate examples, illustrations, and problems, and
is suitable for classroom use or self-study. The present
uncorrected, softcover reprint is designed to make this classic
textbook available to a wider audience. This book is different from
the classical textbooks on probability theory in that it treats the
measure theoretic background not as a prerequisite but as an
integral part of probability theory. The result is that the reader
gets a thorough and well-structured framework needed to understand
the deeper concepts of current day advanced probability as it is
used in statistics, engineering, biology and finance...The pace of
the book is quick and disciplined. Yet there are ample examples
sprinkled over the entire book and each chapter finishes with a
wealthy section of inspiring problems. -Publications of the
International Statistical Institute This textbook offers material
for a one-semester course in probability, addressed to students
whose primary focus is not necessarily mathematics...Each chapter
is completed by an exercises section. Carefully selected examples
enlighten the reader in many situations. The book is an excellent
introduction to probability and its applications. -Revue Roumaine
de Mathematiques Pures et Appliquees
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