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Juhuslik protsess ehk stohhastiline protsess on protsess, mille kulg sõltub juhusest ja mille puhul on vähemalt põhimõtteliselt võimalik leida seda juhuslikkust kirjeldavad jaotused.^[1]

Juhuslik protsess on näiteks gaasimolekuli liikumine õhus (Browni liikumine)^[1] või bakterite koloonia juurdekasv.^[2] Juhuslikke protsesse uuritakse paljudes valdkondades, sealhulgas bioloogias,^[3] keemias,^[4] ökoloogias,^[5] neuroteaduses,^[6] füüsikas,^[7] digitaalses pilditöötluses, signaalitöötluses,^[8] automaatikas,^[9] informatsiooniteoorias,^[10] informaatikas^[11] ja telekommunikatsioonis.^[12] Näivalt suvalised muutused finantsturgudel on ajendanud juhuslike protsesside mudelite kasutamist ka rahanduses.^[13]^[14]^[15]

Viited

↑ ^1,0 ^1,1 EE stohhastiline protsess4. köide, 1989.
↑ Joseph L. Doob (1990). Stochastic processes. Wiley. Lk 46, 47.
↑ Bressloff, Paul C. (2014). Stochastic Processes in Cell Biology. Springer. ISBN 978-3-319-08488-6.
↑ Van Kampen, N. G. (2011). Stochastic Processes in Physics and Chemistry. Elsevier. ISBN 978-0-08-047536-3.
↑ Lande, Russell; Engen, Steinar; Sæther, Bernt-Erik (2003). Stochastic Population Dynamics in Ecology and Conservation. Oxford University Press. ISBN 978-0-19-852525-7.
↑ Laing, Carlo; Lord, Gabriel J. (2010). Stochastic Methods in Neuroscience. Oxford University Press. ISBN 978-0-19-923507-0.
↑ Paul, Wolfgang; Baschnagel, Jörg (2013). Stochastic Processes: From Physics to Finance. Springer Science+Business Media. ISBN 978-3-319-00327-6.
↑ Dougherty, Edward R. (1999). Random processes for image and signal processing. SPIE Optical Engineering Press. ISBN 978-0-8194-2513-3.
↑ Bertsekas, Dimitri P. (1996). Stochastic Optimal Control: The Discrete-Time Case. Athena Scientific. ISBN 1-886529-03-5. Originaali arhiivikoopia seisuga 8. juuni 2023. Vaadatud 27. detsembril 2023.
↑ Thomas M. Cover; Joy A. Thomas (2012). Elements of Information Theory. John Wiley & Sons. Lk 71. ISBN 978-1-118-58577-1.
↑ Baron, Michael (2015). Probability and Statistics for Computer Scientists (2nd ed.). CRC Press. Lk 131. ISBN 978-1-4987-6060-7.
↑ Baccelli, François; Blaszczyszyn, Bartlomiej (2009). Stochastic Geometry and Wireless Networks. Now Publishers Inc. ISBN 978-1-60198-264-3.
↑ Steele, J. Michael (2001). Stochastic Calculus and Financial Applications. Springer Science+Business Media. ISBN 978-0-387-95016-7.
↑ Musiela, Marek; Rutkowski, Marek (2006). Martingale Methods in Financial Modelling. Springer Science+Business Media. ISBN 978-3-540-26653-2.
↑ Shreve, Steven E. (2004). Stochastic Calculus for Finance II: Continuous-Time Models. Springer Science+Business Media. ISBN 978-0-387-40101-0.

[EE-1] 1,0 ^1,1 EE stohhastiline protsess4. köide, 1989.

[doob1953stochasticP46to47-2] Joseph L. Doob (1990). Stochastic processes. Wiley. Lk 46, 47.

[Bressloff2014-3] Bressloff, Paul C. (2014). Stochastic Processes in Cell Biology. Springer. ISBN 978-3-319-08488-6.

[Kampen2011-4] Van Kampen, N. G. (2011). Stochastic Processes in Physics and Chemistry. Elsevier. ISBN 978-0-08-047536-3.

[LandeEngen2003-5] Lande, Russell; Engen, Steinar; Sæther, Bernt-Erik (2003). Stochastic Population Dynamics in Ecology and Conservation. Oxford University Press. ISBN 978-0-19-852525-7.

[LaingLord2010-6] Laing, Carlo; Lord, Gabriel J. (2010). Stochastic Methods in Neuroscience. Oxford University Press. ISBN 978-0-19-923507-0.

[PaulBaschnagel2013-7] Paul, Wolfgang; Baschnagel, Jörg (2013). Stochastic Processes: From Physics to Finance. Springer Science+Business Media. ISBN 978-3-319-00327-6.

[Dougherty1999-8] Dougherty, Edward R. (1999). Random processes for image and signal processing. SPIE Optical Engineering Press. ISBN 978-0-8194-2513-3.

[Bertsekas1996-9] Bertsekas, Dimitri P. (1996). Stochastic Optimal Control: The Discrete-Time Case. Athena Scientific. ISBN 1-886529-03-5. Originaali arhiivikoopia seisuga 8. juuni 2023. Vaadatud 27. detsembril 2023.

[CoverThomas2012page71-10] Thomas M. Cover; Joy A. Thomas (2012). Elements of Information Theory. John Wiley & Sons. Lk 71. ISBN 978-1-118-58577-1.

[Baron2015-11] Baron, Michael (2015). Probability and Statistics for Computer Scientists (2nd ed.). CRC Press. Lk 131. ISBN 978-1-4987-6060-7.

[BaccelliBlaszczyszyn2009-12] Baccelli, François; Blaszczyszyn, Bartlomiej (2009). Stochastic Geometry and Wireless Networks. Now Publishers Inc. ISBN 978-1-60198-264-3.

[Steele2001-13] Steele, J. Michael (2001). Stochastic Calculus and Financial Applications. Springer Science+Business Media. ISBN 978-0-387-95016-7.

[MusielaRutkowski2006-14] Musiela, Marek; Rutkowski, Marek (2006). Martingale Methods in Financial Modelling. Springer Science+Business Media. ISBN 978-3-540-26653-2.

[Shreve2004-15] Shreve, Steven E. (2004). Stochastic Calculus for Finance II: Continuous-Time Models. Springer Science+Business Media. ISBN 978-0-387-40101-0.

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Juhuslik protsess

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