{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,26]],"date-time":"2026-10-26T17:39:31Z","timestamp":1793036371845,"version":"4.5.0"},"reference-count":31,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2023,6,14]],"date-time":"2023-06-14T00:00:00Z","timestamp":1686700800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"DOI":"10.13039\/501100012166","name":"National Key R&D Program of China","doi-asserted-by":"publisher","award":["2018YFA0703900"],"award-info":[{"award-number":["2018YFA0703900"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Statistical Science Research","award":["2022LY080"],"award-info":[{"award-number":["2022LY080"]}]},{"DOI":"10.13039\/100007785","name":"Jinan Science and Technology Bureau","doi-asserted-by":"publisher","award":["2021GXRC056"],"award-info":[{"award-number":["2021GXRC056"]}],"id":[{"id":"10.13039\/100007785","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11901352"],"award-info":[{"award-number":["11901352"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,9,29]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This study aims to improve the power of two-sample tests by analysing whether the difference between two population parameters is larger than a prespecified positive equivalence margin. The classic test statistic treats the original data as exchangeable, while the proposed test statistic breaks the structure and proposes employing a two-armed bandit process to strategically integrate the data and thus a strategy-specific test statistic is constructed by combining the classic CLT with the law of large numbers. The developed asymptotic theory is investigated by using nonlinear limit theory in a larger probability space and relates to the \u2018strategic CLT\u2019 with a clearly defined density function. The asymptotic distribution demonstrates that the proposed statistic is more concentrated under the null hypothesis and less concentrated under the alternative than the classic CLT, thereby enhancing the testing power. Simulation studies provide supporting evidence for the theoretical results and portray a more powerful performance when using finite samples. A real example is also added for illustration.<\/jats:p>","DOI":"10.1093\/jrsssb\/qkad061","type":"journal-article","created":{"date-parts":[[2023,6,14]],"date-time":"2023-06-14T18:33:37Z","timestamp":1686767617000},"page":"1271-1298","source":"Crossref","is-referenced-by-count":9,"title":["Strategic two-sample test via the two-armed bandit process"],"prefix":"10.1093","volume":"85","author":[{"given":"Zengjing","family":"Chen","sequence":"first","affiliation":[{"name":"School of Mathematics, Shandong University, Jinan City, Shandong Province 250100, P.R. China"},{"name":"Zhongtai Securities Institute for Financial Studies, Shandong University , Jinan City, Shandong Province 250100 , P.R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaodong","family":"Yan","sequence":"additional","affiliation":[{"name":"Zhongtai Securities Institute for Financial Studies, Shandong University , Jinan City, Shandong Province 250100 , P.R. 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