Search results for " probability theory"

showing 3 items of 3 documents

Role of noise in a market model with stochastic volatility

2006

We study a generalization of the Heston model, which consists of two coupled stochastic differential equations, one for the stock price and the other one for the volatility. We consider a cubic nonlinearity in the first equation and a correlation between the two Wiener processes, which model the two white noise sources. This model can be useful to describe the market dynamics characterized by different regimes corresponding to normal and extreme days. We analyze the effect of the noise on the statistical properties of the escape time with reference to the noise enhanced stability (NES) phenomenon, that is the noise induced enhancement of the lifetime of a metastable state. We observe NES ef…

Noise inducedProbability theory stochastic processes and statisticFOS: Physical sciencesEconomicFOS: Economics and businessStochastic differential equationStatistical physicsMarket modelCondensed Matter - Statistical MechanicsEconomics; econophysics financial markets business and management; Probability theory stochastic processes and statistics; Fluctuation phenomena random processes noise and Brownian motion; Complex SystemsMathematicsFluctuation phenomena random processes noise and Brownian motionStatistical Finance (q-fin.ST)Stochastic volatilityStatistical Mechanics (cond-mat.stat-mech)Cubic nonlinearityQuantitative Finance - Statistical FinanceComplex SystemsWhite noiseDisordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksCondensed Matter PhysicsSettore FIS/07 - Fisica Applicata(Beni Culturali Ambientali Biol.e Medicin)Electronic Optical and Magnetic MaterialsHeston modelVolatility (finance)econophysics financial markets business and management
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Proceedings of MDP2007 international Symposium on Recent Advances in Mechanics (structural/solid) Dynamical Systems (deterministic/stochastic) Probab…

2009

Settore ICAR/08 - Scienza Delle Costruzionimechanics Structural dynamics probability theory
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Stochastic seismic analysis of multidegree of freedom systems

1984

Abstract A unconditionally stable step-by-step procedure is proposed to evaluate the mean square response of a linear system with several degrees of freedom, subjected to earthquake ground motion. A non-stationary modulated random process, obtained as the product of a deterministic time envelope function and a stationary noise, is used to simulate earthquake acceleration. The accuracy of the procedure and its extension to nonlinear systems are discussed. Numerical examples are given for a hysteretic system, a duffing oscillator and a linear system with several degrees of freedom.

Stochastic processMathematical analysisLinear systemDegrees of freedom (statistics)stochastic analysisDuffing equationAcceleration (differential geometry)earthquakes; probability theory; stochastic analysisSeismic analysisNonlinear systemEarthquake simulationControl theoryprobability theoryearthquakesCivil and Structural EngineeringMathematics
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