ASYMPTOTIC EXPANSION UNDER DEGENERACY
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概要
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We will consider a stochastic expansion described by random variables whose covariance matrix is asymptotically degenerate. Though the conventional approach with Bhattacharya-Ghosh's transform requires the nondegeneracy of the covariance matrix, it is known that this method still works even in degenerate cases@with the help of the so-called global@approach. In this paper, we explain this fact and also mention, as an example, the third order asymptotic expansion of the maximum like- lihood estimator for the O-U process.
- 一般社団法人日本統計学会の論文
著者
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阪本 雄二
Faculty Of Human Environment Hiroshima International University
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Sakamoto Yuji
Faculty of Human Environment, Hiroshima International University
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Yoshida Nakahiro
Graduate School of Mathematical Sciences, University of Tokyo
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Yoshida Nakahiro
Graduate School Of Mathematical Sciences University Of Tokyo
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