Diffusion Process with Evolution and its Parameter Estimation

被引:0
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作者
V. S. Koroliuk
D. Koroliouk
S. O. Dovgyi
机构
[1] National Academy of Sciences of Ukraine,Institute of Mathematics
[2] National Academy of Sciences of Ukraine,Institute of Telecommunications and Global Information Space
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关键词
discrete Markov process; diffusion approximation; asymptotic diffusion environment; Ornstein–Uhlenbeck process; phase merging; drift parameter estimation;
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摘要
A discrete Markov process in an asymptotic diffusion environment with a uniformly ergodic embedded Markov chain can be approximated by an Ornstein–Uhlenbeck process with evolution. The drift parameter estimation is obtained using the stationarity of the Gaussian limit process.
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页码:732 / 738
页数:6
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