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Exit Times, Moment Problems and Comparison Theorems
Potential Analysis, 2012Consider a Riemannian manifold \(M\) with volume measure \(dx\), a domain \(D\subset M\) which has a compact closure and a smooth boundary, the associated Brownian exit time \(r_D\), and \[ Q_D(t):= \int_D \mathbb{P}_x(r_D> t)\,dx. \] It is known that \(Q_D(t)= \sum_{\lambda\in Sp(D)} A^e_\lambda e^{-\lambda t/2}\), where \(Sp(D)\) denotes the ...
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Comparison of Time Series Databases
2023 17th International Conference on Electronics Computer and Computation (ICECCO), 2023Vladislav Rudakov +2 more
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Time Deformation: Definition and Comparisons
1998In this paper, we are dealing with financial high frequency data; any time an order reaches the market, any time a cancellation or transaction occurs, a new record is made, ending up with a huge amount of data. Hence the time interval between two events is not fixed, forbidding the use of standard statistical tools.
Le Fol, Gaëlle, Mercier, Ludovic
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