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On the jump-diffusion approximation of stochastic difference equations driven by a mixing sequence - MaRDI portal

On the jump-diffusion approximation of stochastic difference equations driven by a mixing sequence (Q909348)

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scientific article; zbMATH DE number 4137129
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On the jump-diffusion approximation of stochastic difference equations driven by a mixing sequence
scientific article; zbMATH DE number 4137129

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    On the jump-diffusion approximation of stochastic difference equations driven by a mixing sequence (English)
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    1990
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    The main purpose of this paper is to establish a limit theorem for a sequence of stochastic processes determined by random difference equations driven by \(\psi\)-mixing processes. A feature of this work is that the limiting process is a Markov process with jumps whereas the prelimiting processes are non-Markovian.
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    weak convergence
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    Markov process
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    mixing
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    limit theorem
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    random difference equations
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