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971.
Yuma Uehara 《Stochastic Processes and their Applications》2019,129(10):4051-4081
We consider the estimation problem of misspecified ergodic Lévy driven stochastic differential equation models based on high-frequency samples. We utilize a widely applicable and tractable Gaussian quasi-likelihood approach which focuses on mean and variance structure. It is shown that the Gaussian quasi-likelihood estimators of the drift and scale parameters still satisfy polynomial type probability estimates and asymptotic normality at the same rate as the correctly specified case. In their derivation process, the theory of extended Poisson equation for time-homogeneous Feller Markov processes plays an important role. Our result confirms the reliability of the Gaussian quasi-likelihood approach for SDE models. 相似文献
972.
《Stochastic Processes and their Applications》2019,129(10):3981-4008
We derive the asymptotic behavior for an additive functional of two independent self-similar Gaussian processes when their intersection local time exists, using the method of moments. 相似文献
973.
Solutions of the parabolic equation which describes propagation of Bessel–Gaussian beams along the axis of an axially-symmetric medium having quadratic inhomogeneity have been obtained and investigated. It is shown that in the process of propagation the parameters of the beams change nonmonotonically. In the case of a transparent medium the beams periodically recover their initial structure. 相似文献
974.
Giorgio Mantica 《Numerical Algorithms》2007,45(1-4):269-281
Measures generated by Iterated Function Systems can be used in place of atomic measures in Gaussian integration. A stable
algorithm for the numerical solution of the related approximation problem – an inverse problem in fractal construction – is
proposed.
Dedicated to Walter Gautschi. 相似文献
975.
The isomorphism theorem of Dynkin is definitely an important tool to investigate the problems raised in terms of local times of Markov processes. This theorem concerns continuous time Markov processes. We give here an equivalent version for Markov chains. 相似文献
976.
The effects on the noise content of producing a projection from a stack of confocal images are investigated. Processing by retaining either the mean or peak pixel value is found to reduce noise, with the former giving more noise reduction. Gaussian noise, shot noise and speckle are considered. The effects of processing on the perception of the images are discussed. 相似文献
977.
Zheng Yan LIN Wen Sheng WANG Kyo Shin HWANG 《数学学报(英文版)》2006,22(6):1767-1780
In this paper, we obtain functional limit theorems for d-dimensional FBM in HSlder norm via estimating large deviation probabilities for d-dimensional FBM in HSlder norm. 相似文献
978.
S. G. Kobel’kov 《Mathematical Notes》2006,80(3-4):372-379
For a family of real-valued Gaussian processes ξ u (t), t ∈ [0, T], we obtain an exact asymptotics of the probability of crossing a level u as u → ∞ under certain conditions on the variance and correlation. This result is applied to the investigation of excursions of a stationary zero-mean process above a barrier increasing to infinity. 相似文献
979.
A note on fast Fourier transforms for nonequispaced grids 总被引:1,自引:0,他引:1
Gabriele Steidl 《Advances in Computational Mathematics》1998,9(3-4):337-352
In this paper, we are concerned with fast Fourier transforms for nonequispaced grids. We propose a general efficient method
for the fast evaluation of trigonometric polynomials at nonequispaced nodes based on the approximation of the polynomials
by special linear combinations of translates of suitable functions ϕ. We derive estimates for the approximation error. In particular, we improve the estimates given by Dutt and Rokhlin [7].
As a practical consequence, we obtain a criterion for the choice of the parameters involved in the fast transforms.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
980.