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.
机构:
Hunan Univ Sci & Technol, Sch Math & Comp Sci, Xiangtan 411201, Hunan, Peoples R China
Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R ChinaHunan Univ Sci & Technol, Sch Math & Comp Sci, Xiangtan 411201, Hunan, Peoples R China
Kuang, Nenghui
Liu, Bingquan
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Weinan Normal Univ, Sch Math & Informat Sci, Weinan 71400, Peoples R ChinaHunan Univ Sci & Technol, Sch Math & Comp Sci, Xiangtan 411201, Hunan, Peoples R China