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Probability Theory - A Comprehensive Course

Probability Theory - A Comprehensive Course

          
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About the Book

Probability theory is the branch of mathematics concerned with probability, the
analysis of random phenomena. The central objects of probability theory are
random variables, stochastic processes, and events: mathematical abstractions
of non-deterministic events or measured quantities that may either be single
occurrences or evolve over time in an apparently random fashion. The outcome
of a random event cannot be determined before it occurs, but it may be any one
of several possible outcomes. The actual outcome is considered to be determined
by chance. The word probability has several meanings in ordinary conversation.
Two of these are particularly important for the development and applications
of the mathematical theory of probability. One is the interpretation of
probabilities as relative frequencies, for which simple games involving coins,
cards, dice, and roulette wheels provide examples. It is not possible to predict
precisely results of random event. However, if a sequence of individual events,
such as coin ipping or the roll of dice, is in uenced by other factors, such as
friction, it will exhibit certain patterns, which can be studied and predicted. Two
representative mathematical results describing such patterns are the law of large
numbers and the central limit theorem. As a mathematical foundation for statistics,
probability theory is essential to many human activities that involve quantitative
analysis of large sets of data. Methods of probability theory also apply to
descriptions of complex systems given only partial knowledge of their state, as in
statistical mechanics. The book Probability Theory: A Comprehensive Course
emphasizes modern probability theory. Overall, probabilistic concepts play an
increasingly important role in mathematics, physics, biology, nancial engineering
and computer science. They help us in understanding magnetism, amorphous
media, genetic diversity and the perils of random developments at nancial
markets, and they guide us in constructing more e cient algorithms.


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Product Details
  • ISBN-13: 9781681174532
  • Publisher: Scitus Academics LLC
  • Binding: Hardback
  • No of Pages: 270
  • Width: 152.4 mm
  • ISBN-10: 1681174537
  • Publisher Date: 2016
  • Height: 229 mm
  • Weight: 0 gr


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