{"_buckets": {"deposit": "5018c138-2b09-4b50-86e1-db94149ebbf9"}, "_deposit": {"id": "42903", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "42903"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00042903"}, "item_8_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2011-01", "bibliographicIssueDateType": "Issued"}, "bibliographicVolumeNumber": "CIRJE-F-786", "bibliographic_titles": [{"bibliographic_title": "Discussion paper series. CIRJE-F"}]}]}, "item_8_description_13": {"attribute_name": "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_8_description_5": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "This papThis paper studies minimaxity of estimators of a set of linear combinations of location parameters \u03bci, l = 1, . . . , k under quadratic loss. When each location parameter is known to be positive, previous results about minimaxity or non-minimaxity are extended from the case of estimating a single linear combination, to estimating any number of linear combinations. Necessary and/or sufficient conditions for minimaxity of general estimators are derived. Particular attention is paid to the generalized Bayes estimator with respect to the uniform distribution and to the truncated version of the unbiased estimator (which is the maximum likelihood estimator for symmetric unimodal distributions). A necessary and sufficient condition for minimaxity of the uniform prior generalized Bayes estimator is particularly simple; If one estimates \u03b8 = A\u00b5 where A is an l \u00d7 k known matrix, the estimator is minimax if and only if (AAt)ij \u2264 0 for any i and j, (i \u2260 j). This condition is also sufficient (but not necessary) for minimaxity of the MLE", "subitem_description_type": "Abstract"}]}, "item_8_description_6": {"attribute_name": "\u5185\u5bb9\u8a18\u8ff0", "attribute_value_mlt": [{"subitem_description": "\u672c\u6587\u30d5\u30a3\u30eb\u306f\u30ea\u30f3\u30af\u5148\u3092\u53c2\u7167\u306e\u3053\u3068", "subitem_description_type": "Other"}]}, "item_8_publisher_20": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "\u65e5\u672c\u7d4c\u6e08\u56fd\u969b\u5171\u540c\u30bb\u30f3\u30bf\u30fc"}]}, "item_8_relation_25": {"attribute_name": "\u95a2\u4fc2URI", "attribute_value_mlt": [{"subitem_relation_type_id": {"subitem_relation_type_id_text": "http://www.cirje.e.u-tokyo.ac.jp/research/dp/2011/2011cf786ab.html", "subitem_relation_type_select": "URI"}}]}, "item_8_relation_29": {"attribute_name": "\u7570\u7248\u3042\u308a", "attribute_value_mlt": [{"subitem_relation_type": "hasVersion", "subitem_relation_type_id": {"subitem_relation_type_id_text": "http://doi.org/10.1016/j.jmva.2011.05.009", "subitem_relation_type_select": "URI"}}]}, "item_8_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "attribute_value_mlt": [{"subitem_source_identifier": "AA11450569", "subitem_source_identifier_type": "NCID"}]}, "item_8_subject_15": {"attribute_name": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "attribute_value_mlt": [{"subitem_subject": "335", "subitem_subject_scheme": "NDC"}]}, "item_8_text_21": {"attribute_name": "\u51fa\u7248\u8005\u5225\u540d", "attribute_value_mlt": [{"subitem_text_value": "Center for International Research on the Japanese Economy"}]}, "item_8_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Discussion Paper"}]}, "item_8_text_4": {"attribute_name": "\u8457\u8005\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "Faculty of Economics, University of Tokyo"}, {"subitem_text_value": "Department of Statistics, Rutgers University"}]}, "item_access_right": {"attribute_name": "\u30a2\u30af\u30bb\u30b9\u6a29", "attribute_value_mlt": [{"subitem_access_right": "metadata only access", "subitem_access_right_uri": "http://purl.org/coar/access_right/c_14cb"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Kubokawa, Tatsuya"}], "nameIdentifiers": [{"nameIdentifier": "98658", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Strawderman, William E."}], "nameIdentifiers": [{"nameIdentifier": "98659", "nameIdentifierScheme": "WEKO"}]}]}, "item_keyword": {"attribute_name": "\u30ad\u30fc\u30ef\u30fc\u30c9", "attribute_value_mlt": [{"subitem_subject": "Decision theory", "subitem_subject_scheme": "Other"}, {"subitem_subject": "generalized Bayes", "subitem_subject_scheme": "Other"}, {"subitem_subject": "linear combination", "subitem_subject_scheme": "Other"}, {"subitem_subject": "location parameter", "subitem_subject_scheme": "Other"}, {"subitem_subject": "location-scale family", "subitem_subject_scheme": "Other"}, {"subitem_subject": "maximum likelihood estimator", "subitem_subject_scheme": "Other"}, {"subitem_subject": "minimaxity", "subitem_subject_scheme": "Other"}, {"subitem_subject": "restricted parameter", "subitem_subject_scheme": "Other"}, {"subitem_subject": "restricted estimator", "subitem_subject_scheme": "Other"}, {"subitem_subject": "truncated estimator", "subitem_subject_scheme": "Other"}, {"subitem_subject": "quadratic loss", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "technical report", "resourceuri": "http://purl.org/coar/resource_type/c_18gh"}]}, "item_title": "A Unified Approach to Non-minimaxity of Sets of Linear Combinations of Restricted Location Estimators", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "A Unified Approach to Non-minimaxity of Sets of Linear Combinations of Restricted Location Estimators"}]}, "item_type_id": "8", "owner": "1", "path": ["9/7435/7436", "62/7433/7434"], "permalink_uri": "http://hdl.handle.net/2261/43061", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2017-01-17"}, "publish_date": "2017-01-17", "publish_status": "0", "recid": "42903", "relation": {}, "relation_version_is_last": true, "title": ["A Unified Approach to Non-minimaxity of Sets of Linear Combinations of Restricted Location Estimators"], "weko_shared_id": null}