Probability theory is a rapidly expanding field and is used in
many areas of science and technology. Beginning from a basis of
abstract analysis, this mathematics book develops the knowledge
needed for advanced students to develop a complex understanding of
probability. The first part of the book systematically presents
concepts and results from analysis before embarking on the study of
probability theory. The initial section will also be useful for
those interested in topology, measure theory, real analysis and
functional analysis. The second part of the book presents the
concepts, methodology and fundamental results of probability
theory. Exercises are included throughout the text, not just at the
end, to teach each concept fully as it is explained, including
presentations of interesting extensions of the theory. The complete
and detailed nature of the book makes it ideal as a reference book
or for self-study in probability and related fields.
Covers a wide range of subjects including f-expansions, Fuk-Nagaev
inequalities and Markov triples.Provides multiple clearly worked
exercises with complete proofs.Guides readers through examples so
they can understand and write research papers independently.
General
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