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Stochastic Theories and Deterministic Differential Equations
Published 2010-01-01“…We discuss the concept of “hydrodynamic” stochastic theory, which is not based on the traditional Markovian concept. …”
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2
Handy formulas for binomial moments
Published 2024-07-01“…Modern Stochastics: Theory and Applications…”
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3
Perturbation of an α-stable type stochastic process by a pseudo-gradient
Published 2024-06-01“…Modern Stochastics: Theory and Applications…”
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4
First-order planar autoregressive model
Published 2024-08-01“…Modern Stochastics: Theory and Applications…”
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5
Heat equation with a general stochastic measure in a bounded domain
Published 2024-07-01“…Modern Stochastics: Theory and Applications…”
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6
A test on the location of tangency portfolio for small sample size and singular covariance matrix
Published 2024-07-01“…Modern Stochastics: Theory and Applications…”
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7
Introducing Randomness into First-Order and Second-Order Deterministic Differential Equations
Published 2010-01-01“…We incorporate randomness into deterministic theories and compare analytically and numerically some well-known stochastic theories: the Liouville process, the Ornstein-Uhlenbeck process, and a process that is Gaussian and exponentially time correlated (Ornstein-Uhlenbeck noise). …”
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A New Framework of Multiphase Segmentation and Its Application to Partial Volume Segmentation
Published 2011-01-01“…We proposed a novel framework of multiphase segmentation based on stochastic theory and phase transition theory. Our main contribution lies in the introduction of a constructed function so that its composition with phase function forms membership functions. …”
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