Uniform minimum risk equivariant estimates for moment condition models
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866911994617004032 |
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| author | Broniatowski, Michel Jurečková, Jana Keziou, Amor |
| author_facet | Broniatowski, Michel Jurečková, Jana Keziou, Amor |
| contents | We consider semiparametric moment condition models invariant to transformation groups. The parameter of interest is estimated by minimum empirical divergence approach, introduced by Broniatowski and Keziou (2012). It is shown that the minimum empirical divergence estimates, including the empirical likelihood one, are equivariants. The minimum risk equivariant estimate is then identied to be any one of the minimum empirical divergence estimates minus its expectation conditionally to maximal invariant statistic of the considered group of transformations. An asymptotic approximation to the conditional expectation, is obtained, using the result of Jureckov{á} and Picek (2009). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_11823 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Uniform minimum risk equivariant estimates for moment condition models Broniatowski, Michel Jurečková, Jana Keziou, Amor Statistics Theory We consider semiparametric moment condition models invariant to transformation groups. The parameter of interest is estimated by minimum empirical divergence approach, introduced by Broniatowski and Keziou (2012). It is shown that the minimum empirical divergence estimates, including the empirical likelihood one, are equivariants. The minimum risk equivariant estimate is then identied to be any one of the minimum empirical divergence estimates minus its expectation conditionally to maximal invariant statistic of the considered group of transformations. An asymptotic approximation to the conditional expectation, is obtained, using the result of Jureckov{á} and Picek (2009). |
| title | Uniform minimum risk equivariant estimates for moment condition models |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/1904.11823 |