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A unified stochastic SIR model driven by Lévy noise with time-dependency

Author(s): Easlick T; Sun W;

We propose a unified stochastic SIR model driven by Lévy noise. The model is structural enough to allow for time-dependency, nonlinearity, discontinuity, demography, and environmental disturbances. We present concise results on the existence and uniqueness ...

Article GUID: 39027117


A fault isolation strategy for industrial processes using outlier-degree-based variable contributions

Author(s): Mu L; Sun W; Zhang Y; Feng N; Xue X; Li Q;

In industrial process monitoring, it is always a challenging and practical problem to analyze the causes of the system fault by isolating true fault variables from vast amounts of process data. However, the phenomenon of smearing effect occurs by using the ...

Article GUID: 38862336


The infimum values of two probability functions for the Gamma distribution

Author(s): Sun P; Hu ZC; Sun W;

Let a, ß be positive real numbers and let Xα ,β be a Gamma random variable with shape parameter a and scale parameter ß. We study infimum values of the function (α ,β )↦ P{Xα ,β ≤ κ E[Xα ,β ]} for an ...

Article GUID: 38261930


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