{"_buckets": {"deposit": "0d72a8f3-70fe-484e-8cab-c3aa8108ceda"}, "_deposit": {"id": "2923", "owners": [1], "pid": {"revision_id": 0, "type": "depid", "value": "2923"}, "status": "published"}, "_oai": {"id": "oai:nied-repo.bosai.go.jp:00002923", "sets": []}, "author_link": [], "item_10001_biblio_info_7": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2013-10", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "9", "bibliographicPageEnd": "2105", "bibliographicPageStart": "2086", "bibliographicVolumeNumber": "42", "bibliographic_titles": [{"bibliographic_title": "Commun. Statist. - Simulat. Comput.,", "bibliographic_titleLang": "en"}]}]}, "item_10001_description_5": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "Noncentral distributions appear in two sample problems and are often used in several fields, for example, in biostatistics. A higher order approximation for a percentage point of the noncentral t-distribution under normality is given by Akahira (\u0026lt;xref rid=\"CIT0001\" ref-type=\"bibr\"\u0026gt;1995\u0026lt;/xref\u0026gt;) and is also shown to be numerically better than others. In this article, without the normality assumption, we obtain a higher order approximation to a percentage point of the distribution of a noncentral t-statistic, in a similar way to Akahira (\u0026lt;xref rid=\"CIT0001\" ref-type=\"bibr\"\u0026gt;1995\u0026lt;/xref\u0026gt;) where the statistic based on a linear combination of a normal random variable and a chi-statistic takes an important role. Its application to the confidence limit and the confidence interval for a noncentrality parameter are also given. Further, a numerical comparison of the higher order approximation with the limiting normal distribution is done and the former one is shown to be more accurate. As a result of the numerical calculation, the higher order approximation seems to be useful in practical situations, when the size of sample is not so small.", "subitem_description_language": "en", "subitem_description_type": "Other"}]}, "item_10001_publisher_8": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "TAYLOR \u0026 FRANCIS INC", "subitem_publisher_language": "en"}]}, "item_10001_relation_14": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_type_id": {"subitem_relation_type_id_text": "10.1080/03610918.2012.695841"}}]}, "item_10001_source_id_9": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0361-0918", "subitem_source_identifier_type": "ISSN"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Akahira, M.", "creatorNameLang": "en"}]}, {"creatorNames": [{"creatorName": "Ohyauchi, N.", "creatorNameLang": "en"}]}, {"creatorNames": [{"creatorName": "Kawai, S.", "creatorNameLang": "en"}]}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_title": "A higher order approximation to a percentage point of the distribution of a noncentral t-statistic without the normality assumption", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "A higher order approximation to a percentage point of the distribution of a noncentral t-statistic without the normality assumption", "subitem_title_language": "en"}]}, "item_type_id": "40001", "owner": "1", "path": ["1670839190650"], "permalink_uri": "https://nied-repo.bosai.go.jp/records/2923", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2023-03-30"}, "publish_date": "2023-03-30", "publish_status": "0", "recid": "2923", "relation": {}, "relation_version_is_last": true, "title": ["A higher order approximation to a percentage point of the distribution of a noncentral t-statistic without the normality assumption"], "weko_shared_id": -1}