We present a part of a study on the estimation of autoregressive parameters for a multidimensional ARMA (autoregressive moving average) model in the general case. We are interested in the stable case when the matrix of the autoregressive part of the model has all its eigenvalues strictly inside the unit circle. The proposed estimator is explicit, strongly consistent and asymptotically normal.
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Tsinghua Univ, Ctr Stat Sci, Dept Ind Engn, Beijing 100084, Peoples R ChinaTsinghua Univ, Ctr Stat Sci, Dept Ind Engn, Beijing 100084, Peoples R China
Li, Dong
Tao, Yuxin
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Tsinghua Univ, Ctr Stat Sci, Dept Ind Engn, Beijing 100084, Peoples R ChinaTsinghua Univ, Ctr Stat Sci, Dept Ind Engn, Beijing 100084, Peoples R China
Tao, Yuxin
Yang, Yaxing
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Xiamen Univ, Sch Econ, Wang Yanan Inst Studies Econ, MOE Key Lab Econometr, Xiamen, Fujian, Peoples R China
Xiamen Univ, Fujian Key Lab Stat, Xiamen, Fujian, Peoples R ChinaTsinghua Univ, Ctr Stat Sci, Dept Ind Engn, Beijing 100084, Peoples R China
Yang, Yaxing
Zhang, Rongmao
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Zhejiang Gongshang Univ, Sch Stat & Math, Hangzhou 310018, Peoples R China
Zhejiang Univ, Sch Math Sci, Hangzhou 310058, Peoples R ChinaTsinghua Univ, Ctr Stat Sci, Dept Ind Engn, Beijing 100084, Peoples R China
机构:
Univ Torcuata Tella, Dept Math & Estadist, RA-1428 Buenos Aires, DF, ArgentinaUniv Torcuata Tella, Dept Math & Estadist, RA-1428 Buenos Aires, DF, Argentina
Muler, Nora
Pena, Daniel
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Univ Carlos III Madrid, Dept Estadist, Madrid 28903, SpainUniv Torcuata Tella, Dept Math & Estadist, RA-1428 Buenos Aires, DF, Argentina
Pena, Daniel
Yohai, Victor J.
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机构:Univ Torcuata Tella, Dept Math & Estadist, RA-1428 Buenos Aires, DF, Argentina