Sample continuity and modeling of stochastic processes from the spaces \(D_{V,W}\) (Q2890723)

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scientific article; zbMATH DE number 6045229
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Sample continuity and modeling of stochastic processes from the spaces \(D_{V,W}\)
scientific article; zbMATH DE number 6045229

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    11 June 2012
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    stochastic processes
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    modeling of stochastic processes
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    pre-Banach spaces
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    spaces \(D_{V,W}\)
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    pre-metrics
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    Sample continuity and modeling of stochastic processes from the spaces \(D_{V,W}\) (English)
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    Random sequences and stochastic processes belonging to the space \(D_{V,W}\) are studied. The spaces \(D_{V,W}\) are defined as pre-Banach spaces generated by pre-metrics \(||\xi||=\sup\limits_{x\geq0}V(x)W^{(-1)}(P\{|\xi|>x\})\). Models of stochastic processes belonging to the space \(D_{V,W}\) are investigated. Moreover several examples of models are given.
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