Conditional Measures And Applications (pure And Applied Mathematics)
by M.M. Rao /
2005 / English / PDF
4.3 MB Download
In response to unanswered difficulties in the generalized case of
conditional expectation and to treat the topic in a well-deservedly
thorough manner, M.M. Rao gave us the highly successful first
edition of Conditional Measures and Applications. Until this
groundbreaking work, conditional probability was relegated to
scattered journal articles and mere chapters in larger works on
probability. This second edition continues to offer a thorough
treatment of conditioning while adding substantial new information
on developments and applications that have emerged over the past
decade.
In response to unanswered difficulties in the generalized case of
conditional expectation and to treat the topic in a well-deservedly
thorough manner, M.M. Rao gave us the highly successful first
edition of Conditional Measures and Applications. Until this
groundbreaking work, conditional probability was relegated to
scattered journal articles and mere chapters in larger works on
probability. This second edition continues to offer a thorough
treatment of conditioning while adding substantial new information
on developments and applications that have emerged over the past
decade.
Conditional Measures and Applications, Second Edition clearly
elucidates the subject, from fundamental principles to abstract
analysis. The author illustrates the computational difficulties in
evaluating conditional probabilities in nondiscrete cases with
numerous examples, demonstrates applications to Markov processes,
martingales, potential theory, and Reynolds operators as well as
sufficiency in statistics, and clarifies ideas in modern
noncommutative probability structures through conditioning in
general structures, including parts of operator algebras and "free"
random variables. He also discusses existence and construction
problems from the Bishop-Brouwer constructive analysis point of
view.
Conditional Measures and Applications, Second Edition clearly
elucidates the subject, from fundamental principles to abstract
analysis. The author illustrates the computational difficulties in
evaluating conditional probabilities in nondiscrete cases with
numerous examples, demonstrates applications to Markov processes,
martingales, potential theory, and Reynolds operators as well as
sufficiency in statistics, and clarifies ideas in modern
noncommutative probability structures through conditioning in
general structures, including parts of operator algebras and "free"
random variables. He also discusses existence and construction
problems from the Bishop-Brouwer constructive analysis point of
view.
With open problems in every chapter and links to other areas of
mathematics, this invaluable second edition offers complete
coverage of conditional probability and expectation and their
structural analysis, from simple to advanced abstract levels, for
both novices and seasoned mathematicians.
With open problems in every chapter and links to other areas of
mathematics, this invaluable second edition offers complete
coverage of conditional probability and expectation and their
structural analysis, from simple to advanced abstract levels, for
both novices and seasoned mathematicians.