Applied probability is the application of probability theory to statistical problems and other scientific and engineering domains.

Scope

Much research involving probability is done under the auspices of applied probability. However, while such research is motivated (to some degree) by applied problems, it is usually the mathematical aspects of the problems that are of most interest to researchers (as is typical of applied mathematics in general).

Applied probabilists are particularly concerned with the application of stochastic processes, and probability more generally, to the natural, applied and social sciences, including biology, physics (including astronomy), chemistry, medicine, computer science and information technology, and economics.

Another area of interest is in engineering: particularly in areas of uncertainty, risk management, probabilistic design, and Quality assurance.

See also

Areas of application:

Ruin theory

Statistical physics

Stoichiometry and modelling chemical reactions

Ecology, particularly population modelling

Evolutionary biology

Optimization in computer science

Telecommunications

Options pricing in economics

Ewens's sampling formula in population genetics

Operations research

Gaming mathematics

Stochastic processes:

Markov chain

Poisson process

Brownian motion and other diffusion processes.

Queueing theory

Renewal theory

Additional information and resources

Applied Probability Trust

INFORMS Institute for Operations Research and the Management Sciences

Further reading

Baeza-Yates, R. (2005) Recent advances in applied probability, Springer. ISBN 0-387-23378-4

Blake, I.F. (1981) Introduction to Applied Probability, Wiley. ISBN 0-471-06082-8

Undergraduate Texts in Mathematics

Graduate Studies in Mathematics

Hellenica World - Scientific Library

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