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Representing filtration consistent nonlinear expectations as $g$-expectations in general probability spaces
nonlinear expectations comparison theorem nonlinear Doob-Meyer
2011/3/23
We consider filtration consistent nonlinear expectations in probability spaces satisfying only the usual conditions and separability. Under a domination assumption, we demonstrate that these nonlinear...
Representing filtration consistent nonlinear expectations as $g$-expectations in general probability spaces
nonlinear expectations comparison theorem nonlinear Doob-Meyer
2011/3/23
We consider filtration consistent nonlinear expectations in probability spaces satisfying only the usual conditions and separability. Under a domination assumption, we demonstrate that these nonlinear...
Parisian ruin probability for spectrally negative Lévy processes
L´ evy process ruin probability Parisian ruin risk process
2011/3/23
In this note we give, for a spectrally negative L\'evy process, a compact formula for the Parisian ruin probability, which is defined by the probability that the process exhibits an excursion below ze...
Probability distribution of returns in the exponential Ornstein-Uhlenbeck model
Probability distribution returns exponential Ornstein-Uhlenbeck model
2010/12/17
We analyze the problem of the analytical characterization of the probability distribution of financial returns in the exponential Ornstein-Uhlenbeck model with stochastic volatility. In this model the...
Minimizing the Probability of Ruin when Consumption is Ratcheted
Self-annuitization optimal investment stochastic optimal control probability of ruin ratcheting of consumption
2010/12/20
We assume that an agent's rate of consumption is {\it ratcheted}; that is, it forms a non-decreasing process. Given the rate of consumption, we act as financial advisers and find the optimal investmen...
On the probability distribution of stock returns in the Mike-Farmer model
probability distribution stock returns Mike-Farmer model
2010/12/20
Recently, Mike and Farmer have constructed a very powerful and realistic behavioral model to mimick the dynamic process of stock price formation based on the empirical regularities of order placement...
Validating Forecasts of the Joint Probability Density of Bond Yields:...
Density forecast Affine term structure models Probability integral transform Financial risk management Value at risk Fixed-income portfolio management
2011/4/2
Most existing empirical studies on affine term structure models (ATSMs) have mainly focused on in-sample goodness-of-fit of historical bond yields and ignored out-of-sample forecast of future bond yie...