|
| |
|
|
Pravděpodobnostní vlastnosti spojité dvojité aukce - rovnoměrný případ
Šmíd, Martin
We study probabilistic properties of a zero intelligence model of a limit order market, very similar to those of /citet{Maslov00} and /citet{Smith03}. We (recursively) describe the distributions of the order books and the best quotes. Based on these theoretical results, a procedure for statistical inference of the model may be designed and the evolution of the process may be simulated more efficiently then by the crude simulation of all the events.
|
|
|
Poznámka k empirickým odhadům v ekonomických úlohách
Kaňková, Vlasta
Optimization problems depending on a probability measure correspond to many economic applications. Since the ``underlying" measure is usually unknown the decision is mostly determined on the data basis, it means on statistical (mostly empirical) estimates of the probability measure. Properties of the optimal value (and solution) estimates have been investigated many times. There were introduced assumptions under which the asymptotic distribution is normal and the convergence rate is at least exponential. We generalize the assertions concerning rate convergence. Especially we shall consider distribiotions with the Pareto tails. The introduced assertions are focus on optimal value estimates.
|
|
| |
|
|
Extrakce volatility pomocí Kalmanova filtru
Kuchyňka, Alexandr
This paper focuses on the extraction of volatility of financial returns. The volatility process is modeled as a superposition of two autoregressive processes which represent the more persistent factor and the quickly mean-reverting factor. As the volatility is not observable, the logarithm of the daily high-low range is employed as its proxy. The estimation of parameters and volatility extraction are performed using a modified version of the Kalman filter which takes into account the finite sample distribution of the proxy.
|
|
| |
|
| |
|
| |
guest ::
