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Monte Carlo method: Difference between revisions

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[[Monte Carlo methods in finance]] are often used to [[Corporate finance#Quantifying uncertainty|evaluate investments in projects]] at a business unit or corporate level, or other financial valuations. They can be used to model [[project management|project schedules]], where simulations aggregate estimates for worst-case, best-case, and most likely durations for each task to determine outcomes for the overall project.[https://risk.octigo.pl/] Monte Carlo methods are also used in option pricing, default risk analysis.<ref>{{cite book|chapter=An Introduction to Particle Methods with Financial Applications |publisher=Springer Berlin Heidelberg |journal=Numerical Methods in Finance |date=2012 |isbn=978-3-642-25745-2 |pages=3–49 |series=Springer Proceedings in Mathematics |volume=12 |author-first1=René |author-last1=Carmona |author-first2=Pierre |author-last2=Del Moral |author-first3=Peng |author-last3=Hu |author-first4=Nadia |author-last4=Oudjane |editor-first1=René A. |editor-last1=Carmona |editor-first2= Pierre Del |editor-last2=Moral |editor-first3=Peng |editor-last3=Hu |editor-first4=Nadia |display-editors=3 |editor-last4=Oudjane |doi=10.1007/978-3-642-25746-9_1 |citeseerx=10.1.1.359.7957}}</ref><ref>{{cite book |volume=12 |doi=10.1007/978-3-642-25746-9 |series=Springer Proceedings in Mathematics |year=2012 |isbn=978-3-642-25745-2 |url=https://basepub.dauphine.fr/handle/123456789/11498 |title=Numerical Methods in Finance |author-last1=Carmona |author-first1=René |author-last2=Del Moral |author-first2=Pierre |author-last3=Hu |author-first3=Peng |author-last4=Oudjane |author-first4=Nadia}}</ref><ref name="kr11">{{cite book|author-last1=Kroese |author-first1=D. P. |author-last2=Taimre |author-first2=T. |author-last3=Botev |author-first3=Z. I. |title=Handbook of Monte Carlo Methods |year=2011 |publisher=John Wiley & Sons}}</ref> Additionally, they can be used to estimate the financial impact of medical interventions.<ref>{{cite journal |doi=10.1371/journal.pone.0189718 |pmid=29284026 |pmc=5746244 |title=A Monte Carlo simulation approach for estimating the health and economic impact of interventions provided at a student-run clinic |journal=[[PLOS ONE]] |volume=12 |issue=12 |pages=e0189718 |year=2017 |author-last1=Arenas |author-first1=Daniel J. |author-last2=Lett |author-first2=Lanair A. |author-last3=Klusaritz |author-first3=Heather |author-last4=Teitelman |author-first4=Anne M. |bibcode=2017PLoSO..1289718A |doi-access=free}}</ref>
 
=== '''Gambling Industry''' ===
Monte Carlo methods find significant application in the gambling industry, particularly in the realm of probability and statistics for games of chance. They play a pivotal role in simulating various betting scenarios, assessing risks, and estimating potential outcomes in games like poker and roulette. These simulations offer valuable insights for both players and operators, aiding in strategic decision-making and optimizing betting strategies.
 
===Law===