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Prostorové modelování
Voldán, Adam ; Beneš, Viktor (vedoucí práce) ; Pawlas, Zbyněk (oponent)
Na/,ev praoe: Prost.orovc modolovam Antor: Adam Voldan Katedra: Katodra pravdepodobnosti ;v matematicke stal.istiky Vodouci bakalafske pracc: Proi. RNDr. Viktor Benes DrSc. e-mail vedouciho: Viktor.Bones'ohnff. emii.cz Abstrakt: V pfedlozene praci je stndovan nahodnv bodovy procos, konkretne permanent procos. Podrobne je probrana tcoric nahodnych bodovych pro- ce.su danych husLotou vzhlodeiu k Pois.sonove procesn. Sainotny proces je si- nuilovan inctodou Markov chain Mont.o Carlo, poinoci Mrtropolis-Hastingso- va algoritinu pro pcvuy pocct boili'i. Tento al^oi'itiuub ju naprogramovau v jazyce Pascal a vystupy toholo tnodoln json flalc vyhodnocovany v prograinn R-Spatstat, st.udovaiKj bylo pfodcvsiiu prostorove roznn'wteni bodii poinoci indexn dispor/c Kh'coxra .slova: Mc:!ro])olis-Ha,sting,siiv algoritnin.s. Poissc^nnv bodovy procos. pcniument procea Title: Spatial modelling Avithor: Adam VokUin De]jartment: Department of Probability and Mathoniatica.l Statistics Supervisor: Prof. RNDr. Viktor Bonos DrSc. Supervisor's e-mail address: Viktor.Bene.s^Cnifr.euni.e/, Abstract: In the present work we study stochastic point processes, especi- ally the permanent process. We introduce the theory of the stochastic point processes given by the density with respect, to the Poisson process. The per- manent process is...
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Itôův a Stratonovičův stochastický integrál
Voldán, Adam ; Hlubinka, Daniel (vedoucí práce) ; Dostál, Luboš (oponent)
In this thesis the Ito stochastic integral and the Stratonovich stochastic integrals are studied. Their basic and some special properties are shown. Further the theory of the numerical solution of stochastic differential equations (SDE) is introduced. Using simple examples the properties of chosen numerical schemes are presented. Finally the Black-Scholes-Merton formula for pricing of European call option is sketched, and similar problems are numerically solved using the above presented algorithms.
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Itôův a Stratonovičův stochastický integrál
Voldán, Adam ; Dostál, Luboš (oponent) ; Hlubinka, Daniel (vedoucí práce)
In this thesis the Ito stochastic integral and the Stratonovich stochastic integrals are studied. Their basic and some special properties are shown. Further the theory of the numerical solution of stochastic differential equations (SDE) is introduced. Using simple examples the properties of chosen numerical schemes are presented. Finally the Black-Scholes-Merton formula for pricing of European call option is sketched, and similar problems are numerically solved using the above presented algorithms.
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Prostorové modelování
Voldán, Adam ; Pawlas, Zbyněk (oponent) ; Beneš, Viktor (vedoucí práce)
Na/,ev praoe: Prost.orovc modolovam Antor: Adam Voldan Katedra: Katodra pravdepodobnosti ;v matematicke stal.istiky Vodouci bakalafske pracc: Proi. RNDr. Viktor Benes DrSc. e-mail vedouciho: Viktor.Bones'ohnff. emii.cz Abstrakt: V pfedlozene praci je stndovan nahodnv bodovy procos, konkretne permanent procos. Podrobne je probrana tcoric nahodnych bodovych pro- ce.su danych husLotou vzhlodeiu k Pois.sonove procesn. Sainotny proces je si- nuilovan inctodou Markov chain Mont.o Carlo, poinoci Mrtropolis-Hastingso- va algoritinu pro pcvuy pocct boili'i. Tento al^oi'itiuub ju naprogramovau v jazyce Pascal a vystupy toholo tnodoln json flalc vyhodnocovany v prograinn R-Spatstat, st.udovaiKj bylo pfodcvsiiu prostorove roznn'wteni bodii poinoci indexn dispor/c Kh'coxra .slova: Mc:!ro])olis-Ha,sting,siiv algoritnin.s. Poissc^nnv bodovy procos. pcniument procea Title: Spatial modelling Avithor: Adam VokUin De]jartment: Department of Probability and Mathoniatica.l Statistics Supervisor: Prof. RNDr. Viktor Bonos DrSc. Supervisor's e-mail address: Viktor.Bene.s^Cnifr.euni.e/, Abstract: In the present work we study stochastic point processes, especi- ally the permanent process. We introduce the theory of the stochastic point processes given by the density with respect, to the Poisson process. The per- manent process is...
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