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Applied probability
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{{Short description|Application of probability theory}} '''Applied probability''' is the application of [[probability theory]] to [[statistics|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 [[mathematics|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 process]]es, 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]]. ==History== Having initially been defined at a symposium of the [[American Mathematical Society]] in the later 1950s, the term "applied probability" was popularized by [[M. S. Bartlett|Maurice Bartlett]] through the name of a [[Methuen Publishing|Methuen]] monograph series he edited, ''Applied Probability and Statistics''. The area did not have an established outlet until 1964, when the [[Journal of Applied Probability]] came into existence through the efforts of [[Joe Gani]].<ref>{{cite journal|title=A Conversation with Joe Gani|last=Heyde|first=Chris|authorlink=Chris Heyde|work=[[Statistical Science]]|volume=10|issue=2|pages=214–230|year=1995|url=https://projecteuclid.org/journals/statistical-science/volume-10/issue-2/A-Conversation-with-Joe-Gani/10.1214/ss/1177010039.pdf}}</ref> ==See also== *Areas of application: **[[Ruin theory]] **[[Statistical physics]] **[[Stoichiometry]] and modelling [[chemical reaction]]s **[[Ecology]], particularly population modelling **[[Evolution|Evolutionary biology]] **[[Optimization (computer science)|Optimization]] in [[computer science]] **[[Telecommunications]] **[[Reliability engineering]] **[[Quality control]] **[[Black–Scholes|Options pricing]] in [[economics]] **[[Ewens's sampling formula]] in [[population genetics]] **[[Operations research]] **[[Gaming mathematics]] *[[Stochastic process]]es: **[[Markov chain]] **[[Poisson process]] **[[Brownian motion]] and other [[diffusion (mathematics)|diffusion process]]es **[[Queueing theory]] **[[Renewal theory]] * Additional information and resources **[[Applied Probability Trust]] **[[INFORMS]] Institute for Operations Research and the Management Sciences ==References== {{Reflist}} ==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}} ==External links== * [http://www.appliedprobability.org/ The Applied Probability Trust]. [[Category:Applied probability| ]]
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