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Sample Path Properties of a Class of Operator Stable Processes
Stochastic Analysis and Applications, 2007Abstract Let X = {X(t), t ∊ ℝ+} be an operator stable Levy process on ℝ d with the exponent B, where B is a diagonal matrix. In the present paper, we consider the asymptotic behavior of the first passage time out of a sphere, and of the sojourn time in a sphere.
Yanyan Hou, Jiangang Ying
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Sample path properties of an explosive double autoregressive model
Econometric Reviews, 2016ABSTRACTThis article studies sample path properties of an explosive double autoregressive (DAR) model. After suitable renormalization, it is shown that the sample path converges weakly to a geometric Brownian motion. This further strengthens our understanding of sample paths of nonstationary DAR processes.
Feng Liu, Dong Li, Xinmei Kang
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Variance properties of sample path derivatives of parametric random variables
Operations Research Letters, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Occupation Density and Sample Path Properties
20030 Introduction 0.1 Gaussian (N, d)-fields 0.2 (\(N,d, \alpha\))-stable Levy sheets 0.3 Other fields 1 Occupation density of a function and the Hausdorff dimension of its level sets 1.1 Occupation density of a function 1.2 Holder continuity and Hausdorff dimension 1.A Fourier transform of multivariate measures
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Fractal properties of the sample path of a class of semimartingales
Summary: The fractal properties of the sample path of a semimartingale are characterized in terms of Hausdorff dimensions, and the collision problems of Brownian motion with finite variation process are also investigated.Luo, Shun Long, Zhang, Zheng Min
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Some sample path properties of a random walk on the cube
Journal of Theoretical Probability, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sample Path Properties of Stable Processes
Technometrics, 1982R. Syski +3 more
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Introduction to sample path properties
2017Gennady Samorodnitsky, Murad S. Taqqu
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