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{{Short description|Stochastic process with discrete movements}} A '''jump process''' is a type of [[stochastic]] process that has discrete movements, called [[jump discontinuity|jumps]], ...

...nd [[Stochastic asset model]]s. For mathematical definition, please see [[Stochastic process]].'' ...of potential outcomes are derived from a large number of [[simulation]]s (stochastic projections) which reflect the random variation in the input(s). ...

...an]] and [[statistician]] who made contributions to [[queueing theory]], [[stochastic geometry]], and [[spatial statistics]]. ...icular inequalities, for [[Queuing theory|queueing systems]] and related [[stochastic model]]s. The books ...

*N.A. Buzacott, G.E. Shanthikumar, Stochastic models of manufacturing systems, Prentice Hall, 1993 ...

...sses | doi = 10.1007/978-1-4612-2234-7_12 | title = Advances in Stochastic Models for Reliability, Quality and Safety | pages = 167–181 | year = 1998 | isbn ...Markov Additive Models | title = Applied Probability and Queues | series = Stochastic Modelling and Applied Probability | volume = 51 | pages = 302–339 | year = ...

...olatility Clustering in Financial Markets: Empirical Facts and Agent-Based Models|publisher=Springer|pages=289–309|doi=10.1007/978-3-540-34625-8_10|book-titl ...g and related effects such as [[kurtosis]]. The main idea behind these two models is that volatility is dependent upon past realizations of the asset process ...

...[[Simulation]] is an approach which can be used to model large, complex [[stochastic]] systems for [[telecommunications forecasting|forecasting]] or [[network p *Modelling the system as a dynamic [[stochastic]] (i.e. random) process ...

In economics, the [[Ramsey–Cass–Koopmans model]] is deterministic. The stochastic equivalent is known as [[real business-cycle theory]]. ...g uses a given model to predict future behavior in a system. Deterministic models are used across the natural sciences, including geology, oceanography,<ref> ...

'''Markov renewal processes''' are a class of [[stochastic process|random processes]] in probability and statistics that generalize th ==Relation to other stochastic processes== ...

...aims<ref name="Wüthrich-Merz 2008">'''Wüthrich''', M.V., '''Merz''', M., ''Stochastic Claims Reserving Methods in Insurance'', Wiley Finance, 2008, Section 1.1.< ...008, 542-568, 2008. </ref><ref>'''England''', P.D., '''Verrall''', R.J., ''Stochastic claims reserving in general insurance'', British Actuarial Journal 8/3, 443 ...

Optimal Maintenance strategies are often constructed using stochastic models and focus on finding an optimal [[Planned maintenance|inspection time]] or * Optimal maintenance models for systems subject to failure–a review by YS Sherif, ML Smith published in ...

...al models of the targeted insurance company'' that is being analyzed. Such models not only reveal the operation and the [[business structure]] of the company * ''Business Models'', quantifying the company's business models and uncovering the dependencies among them ...

...(77)90016-2 |citeseerx=10.1.1.164.447 }}</ref> and can be also seen as a [[stochastic investment model]]. ...s that the [[force of interest|instantaneous interest rate]] follows the [[stochastic differential equation]]: ...

**[[Branching process]], a Markov process that models a population **[[Diffusion process]], a solution to a stochastic differential equation ...

* Kempe Andre (1993). "A stochastic Tagger and an Analysis of Tagging Errors". Internal paper. Institute for C ...

...urities]], such as [[option (finance)|options]]. The name derives from the models' treatment of the underlying security's [[volatility (finance)|volatility]] ...] and expiry. By assuming that the volatility of the underlying price is a stochastic process rather than a constant, it becomes possible to model derivatives mo ...

...te [[mean reversion (finance)|mean reversion]]. For both of these reasons, models such as [[Black–Derman–Toy model|Black–Derman–Toy]] ([[lognormal]] and mean *[http://www.columbia.edu/~mh2078/lattice_models.pdf Term Structure Lattice Models] {{Webarchive|url=https://web.archive.org/web/20120123193422/http://www.col ...

==Pricing models== ...of the underlying asset, they are complex to value. There are many pricing models in use, although all essentially incorporate the concepts of [[Rational pri ...

...ng visible light. It forms the foundation of light transport theory, which models how light interacts with surfaces, volumes, and media. ...mission. These processes are governed by the [[rendering equation]], which models the distribution of light in a scene. <ref>https://pbr-book.org/3ed-2018/L ...

|fields = [[Mathematics]], [[Stochastic differential equation]], [[Markovian process]]es Skorokhod is well-known for his comprehensive treatise on the theory of [[stochastic processes]] which he co-authored with [[Iosif Gikhman|Gikhman]].<ref name=" ...