The quasi-likelihood analysis is generalized to the partial quasi-likelihood analysis. Limit theorems for the quasi-likelihood estimators, especially the quasi-Bayesian estimator, are derived in the situation where existence of a slow mixing component prohibits the Rosenthal type inequality from applying to the derivation of the polynomial type large deviation inequality for the statistical random field. We give two illustrative examples.
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Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
Inatsugu, Haruhiko
Yoshida, Nakahiro
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Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
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Mitsubishi UFJ Trust Investment Technology Institute Co., Ltd., Minato-ku, TokyoMitsubishi UFJ Trust Investment Technology Institute Co., Ltd., Minato-ku, Tokyo
Ogihara T.
Yoshida N.
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Graduate School of Mathematical Sciences, University of Tokyo, Meguro-ku, Tokyo 153-8914Mitsubishi UFJ Trust Investment Technology Institute Co., Ltd., Minato-ku, Tokyo
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Osaka Univ, Ctr Study Finance & Insurance, Toyonaka, Osaka 5608531, Japan
Japan Sci & Technol Agcy, CREST, Tokyo, JapanOsaka Univ, Ctr Study Finance & Insurance, Toyonaka, Osaka 5608531, Japan
Ogihara, Teppei
Yoshida, Nakahiro
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Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, JapanOsaka Univ, Ctr Study Finance & Insurance, Toyonaka, Osaka 5608531, Japan
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Univ Guizhou Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R ChinaUniv Guizhou Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China
Xia, Tian
Wang, Xue-Ren
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Yunnan Univ, Dept Stat, Kunming 650091, Yunnan Province, Peoples R ChinaUniv Guizhou Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China
Wang, Xue-Ren
Jiang, Xue-Jun
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South Univ Sci & Technol, Dept Financial Math & Engn, Shenzhen 518055, Peoples R ChinaUniv Guizhou Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China