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On the semimartingale property of discounted asset-price processes
semimartingale property discounted asset-price processes
2010/12/17
A financial market model where agents trade using realistic combinations of buy-and-hold strategies is considered. Minimal assumptions are made on the discounted asset-price process - in particular, ...
On discrete stochastic processes with long-lasting time dependence
discrete stochastic processes long-lasting time dependence
2010/12/20
In this manuscript, we analytically and numerically study statistical properties of an heteroskedastic process based on the celebrated ARCH generator of random variables whose variance is defined by a...
An introduction to Lévy processes with applications in finance
introduction Lévy processes applications finance
2010/12/17
These lectures notes aim at introducing L\'{e}vy processes in an informal and intuitive way, accessible to non-specialists in the field. In the first part, we focus on the theory of L\'{e}vy processes...
Mathematical analysis of long tail economy using stochastic ranking processes
Mathematical analysis long tail economy stochastic ranking processes
2010/12/17
We present a new method of estimating the distribution of sales rates of, e.g., book titles at an online bookstore, from the time evolution of ranking data found at websites of the store. The method i...