{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T22:40:53Z","timestamp":1764715253176,"version":"3.37.3"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2024,9,23]],"date-time":"2024-09-23T00:00:00Z","timestamp":1727049600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,9,23]],"date-time":"2024-09-23T00:00:00Z","timestamp":1727049600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12171078"],"award-info":[{"award-number":["12171078"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Stat Comput"],"published-print":{"date-parts":[[2024,12]]},"DOI":"10.1007\/s11222-024-10489-3","type":"journal-article","created":{"date-parts":[[2024,9,24]],"date-time":"2024-09-24T13:23:40Z","timestamp":1727184220000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Distributed hypothesis testing for large dimensional two-sample mean vectors"],"prefix":"10.1007","volume":"34","author":[{"given":"Lu","family":"Yan","sequence":"first","affiliation":[]},{"given":"Jiang","family":"Hu","sequence":"additional","affiliation":[]},{"given":"Lixiu","family":"Wu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,9,23]]},"reference":[{"issue":"1","key":"10489_CR1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00446-024-00460-w","volume":"37","author":"Y Afek","year":"2024","unstructured":"Afek, Y., Giladi, G., Patt-Shamir, B.: Distributed computing with the cloud. Distrib. Comput. 37(1), 1\u201318 (2024). https:\/\/doi.org\/10.1007\/s00446-024-00460-w","journal-title":"Distrib. Comput."},{"key":"10489_CR2","first-page":"311","volume":"6","author":"Z Bai","year":"1996","unstructured":"Bai, Z., Saranadasa, H.: Effect of high dimension: by an example of a two sample problem. Stat. Sin. 6, 311\u2013329 (1996)","journal-title":"Stat. Sin."},{"key":"10489_CR3","unstructured":"Bayle, P., Fan, J., Lou, Z.: Communication-efficient distributed estimation and inference for Cox\u2019s model (2023). arXiv preprint arXiv:2302.12111"},{"key":"10489_CR4","doi-asserted-by":"crossref","unstructured":"Bol\u00f3n-Canedo, V., Sechidis, K., S\u00e1nchez-Marono, N., Alonso-Betanzos, A., Brown, G.: Exploring the consequences of distributed feature selection in DNA microarray data. In: 2017 International Joint Conference on Neural Networks (IJCNN), pp. 1665\u20131672. IEEE (2017)","DOI":"10.1109\/IJCNN.2017.7966051"},{"issue":"5","key":"10489_CR5","doi-asserted-by":"publisher","first-page":"2851","DOI":"10.1214\/21-AOS2062","volume":"49","author":"SX Chen","year":"2021","unstructured":"Chen, S.X., Peng, L.: Distributed statistical inference for massive data. Ann. Stat. 49(5), 2851\u20132869 (2021). https:\/\/doi.org\/10.1214\/21-AOS2062","journal-title":"Ann. Stat."},{"issue":"2","key":"10489_CR6","doi-asserted-by":"publisher","first-page":"808","DOI":"10.1214\/09-AOS716","volume":"38","author":"S Chen","year":"2010","unstructured":"Chen, S., Qin, Y.: A two-sample test for high-dimensional data with applications to gene-set testing. Ann. Stat. 38(2), 808\u2013835 (2010). https:\/\/doi.org\/10.1214\/09-AOS716","journal-title":"Ann. Stat."},{"issue":"542","key":"10489_CR7","doi-asserted-by":"publisher","first-page":"1000","DOI":"10.1080\/01621459.2021.1969238","volume":"118","author":"J Fan","year":"2023","unstructured":"Fan, J., Guo, Y., Wang, K.: Communication-efficient accurate statistical estimation. J. Am. Stat. Assoc. 118(542), 1000\u20131010 (2023). https:\/\/doi.org\/10.1080\/01621459.2021.1969238","journal-title":"J. Am. Stat. Assoc."},{"issue":"510","key":"10489_CR8","doi-asserted-by":"publisher","first-page":"837","DOI":"10.1080\/01621459.2014.934826","volume":"110","author":"KB Gregory","year":"2015","unstructured":"Gregory, K.B., Carroll, R.J., Baladandayuthapani, V., Lahiri, S.N.: A two-sample test for equality of means in high dimension. J. Am. Stat. Assoc. 110(510), 837\u2013849 (2015). https:\/\/doi.org\/10.1080\/01621459.2014.934826","journal-title":"J. Am. Stat. Assoc."},{"key":"10489_CR9","doi-asserted-by":"crossref","unstructured":"Guestrin, C., Bodik, P., Thibaux, R., Paskin, M., Madden, S.: Distributed regression: an efficient framework for modeling sensor network data. In: Proceedings of the 3rd International Symposium on Information Processing in Sensor networks(IPSN), pp. 1\u201310. IEEE (2004)","DOI":"10.1145\/984622.984624"},{"issue":"3","key":"10489_CR10","doi-asserted-by":"publisher","first-page":"360","DOI":"10.1007\/978-1-4612-0919-5_4","volume":"2","author":"H Hotelling","year":"1931","unstructured":"Hotelling, H.: The generalization of student\u2019s ratio. Ann. Math. Stat. 2(3), 360\u2013378 (1931). https:\/\/doi.org\/10.1007\/978-1-4612-0919-5_4","journal-title":"Ann. Math. Stat."},{"key":"10489_CR11","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1007\/s10463-015-0543-8","volume":"69","author":"J Hu","year":"2017","unstructured":"Hu, J., Bai, Z., Wang, C., Wang, W.: On testing the equality of high dimensional mean vectors with unequal covariance matrices. Ann. Inst. Stat. Math. 69, 365\u2013387 (2017). https:\/\/doi.org\/10.1007\/s10463-015-0543-8","journal-title":"Ann. Inst. Stat. Math."},{"issue":"3","key":"10489_CR12","doi-asserted-by":"publisher","first-page":"1090","DOI":"10.1111\/sjos.12620","volume":"50","author":"B Huang","year":"2023","unstructured":"Huang, B., Liu, Y., Peng, L.: Distributed inference for two-sample u-statistics in massive data analysis. Scand. J. Stat. 50(3), 1090\u20131115 (2023). https:\/\/doi.org\/10.1111\/sjos.12620","journal-title":"Scand. J. Stat."},{"issue":"545","key":"10489_CR13","doi-asserted-by":"publisher","first-page":"701","DOI":"10.1080\/01621459.2022.2141636","volume":"119","author":"Y Jiang","year":"2024","unstructured":"Jiang, Y., Wang, X., Wen, C., Jiang, Y., Zhang, H.: Nonparametric two-sample tests of high dimensional mean vectors via random integration. J. Am. Stat. Assoc. 119(545), 701\u2013714 (2024). https:\/\/doi.org\/10.1080\/01621459.2022.2141636","journal-title":"J. Am. Stat. Assoc."},{"issue":"2","key":"10489_CR14","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1080\/02331888.2021.1918693","volume":"55","author":"X Kong","year":"2021","unstructured":"Kong, X., Harrar, S.W.: High-dimensional MANOVA under weak conditions. Statistics 55(2), 321\u2013349 (2021). https:\/\/doi.org\/10.1080\/02331888.2021.1918693","journal-title":"Statistics"},{"key":"10489_CR15","doi-asserted-by":"publisher","unstructured":"Kumar, N., Sonowal, S.: Email spam detection using machine learning algorithms. In: 2020 Second International Conference on Inventive Research in Computing Applications (ICIRCA), pp. 108\u2013113. IEEE (2020). https:\/\/doi.org\/10.1109\/ICIRCA48905.2020.9183098","DOI":"10.1109\/ICIRCA48905.2020.9183098"},{"issue":"4","key":"10489_CR16","doi-asserted-by":"publisher","first-page":"1081","DOI":"10.1214\/aos\/1031689018","volume":"30","author":"O Ledoit","year":"2002","unstructured":"Ledoit, O., Wolf, M.: Some hypothesis tests for the covariance matrix when the dimension is large compared to the sample size. Ann. Stat. 30(4), 1081\u20131102 (2002). https:\/\/doi.org\/10.1214\/aos\/1031689018","journal-title":"Ann. Stat."},{"issue":"2","key":"10489_CR17","doi-asserted-by":"publisher","first-page":"908","DOI":"10.1214\/12-AOS993","volume":"40","author":"J Li","year":"2012","unstructured":"Li, J., Chen, S.: Two sample tests for high-dimensional covariance matrices. Ann. Stat. 40(2), 908\u2013940 (2012). https:\/\/doi.org\/10.1214\/12-AOS993","journal-title":"Ann. Stat."},{"issue":"2","key":"10489_CR18","first-page":"1206","volume":"1","author":"M Lopes","year":"2011","unstructured":"Lopes, M., Jacob, L., Wainwright, M.J.: A more powerful two-sample test in high dimensions using random projection. Adv. Neural Inf. Process. Syst. 1(2), 1206\u20131214 (2011)","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"10489_CR19","doi-asserted-by":"publisher","first-page":"168","DOI":"10.1016\/j.jmva.2015.07.002","volume":"141","author":"PK Mondal","year":"2015","unstructured":"Mondal, P.K., Biswas, M., Ghosh, A.K.: On high dimensional two-sample tests based on nearest neighbors. J. Multivar. Anal. 141, 168\u2013178 (2015). https:\/\/doi.org\/10.1016\/j.jmva.2015.07.002","journal-title":"J. Multivar. Anal."},{"issue":"4","key":"10489_CR20","doi-asserted-by":"publisher","first-page":"1691","DOI":"10.1080\/07350015.2021.1961789","volume":"40","author":"R Pan","year":"2022","unstructured":"Pan, R., Ren, T., Guo, B., Li, F., Li, G., Wang, H.: A note on distributed quantile regression by pilot sampling and one-step updating. J. Bus. Econ. Stat. 40(4), 1691\u20131700 (2022). https:\/\/doi.org\/10.1080\/07350015.2021.1961789","journal-title":"J. Bus. Econ. Stat."},{"issue":"6","key":"10489_CR21","doi-asserted-by":"publisher","first-page":"2955","DOI":"10.1257\/aer.102.6.2955","volume":"102","author":"BDI Santos","year":"2012","unstructured":"Santos, B.D.I., Horta\u00e7su, A., Wildenbeest, M.R.: Testing models of consumer search using data on web browsing and purchasing behavior. Am. Econ. Rev. 102(6), 2955\u20132980 (2012). https:\/\/doi.org\/10.1257\/aer.102.6.2955","journal-title":"Am. Econ. Rev."},{"key":"10489_CR22","doi-asserted-by":"crossref","unstructured":"Scherhag, U., Rathgeb, C., Busch, C.: Performance variation of morphed face image detection algorithms across different datasets. In: 2018 International Workshop on Biometrics and Forensics (IWBF), pp. 1\u20136. IEEE (2018)","DOI":"10.1109\/IWBF.2018.8401562"},{"key":"10489_CR23","doi-asserted-by":"crossref","unstructured":"Sharath, R., Nirupam, K., Sowmya, B., Srinivasa, K.: Data analytics to predict the income and economic hierarchy on census data. In: 2016 International Conference on Computation System and Information Technology for Sustainable Solutions (CSITSS), pp. 249\u2013254. IEEE (2016)","DOI":"10.1109\/CSITSS.2016.7779366"},{"issue":"3","key":"10489_CR24","doi-asserted-by":"publisher","first-page":"909","DOI":"10.1214\/23-AOS2269","volume":"51","author":"B Szab\u00f3","year":"2023","unstructured":"Szab\u00f3, B., Vuursteen, L., Van Zanten, H.: Optimal high-dimensional and nonparametric distributed testing under communication constraints. Ann. Stat. 51(3), 909\u2013934 (2023). https:\/\/doi.org\/10.1214\/23-AOS2269","journal-title":"Ann. Stat."},{"key":"10489_CR25","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1016\/j.csda.2013.12.003","volume":"74","author":"M Thulin","year":"2014","unstructured":"Thulin, M.: A high-dimensional two-sample test for the mean using random subspaces. Comput. Stat. Data Anal. 74, 26\u201338 (2014). https:\/\/doi.org\/10.1016\/j.csda.2013.12.003","journal-title":"Comput. Stat. Data Anal."},{"key":"10489_CR26","doi-asserted-by":"publisher","DOI":"10.1016\/j.csda.2021.107265","volume":"162","author":"F Wang","year":"2021","unstructured":"Wang, F., Zhu, Y., Huang, D., Qi, H., Wang, H.: Distributed one-step upgraded estimation for non-uniformly and non-randomly distributed data. Comput. Stat. Data Anal. 162, 107265 (2021). https:\/\/doi.org\/10.1016\/j.csda.2021.107265","journal-title":"Comput. Stat. Data Anal."},{"key":"10489_CR27","doi-asserted-by":"publisher","unstructured":"Xiaoyue, X., Shi, J., Song, K.: A distributed multiple sample testing for massive data. J. Appl. Stat. 50(3), 555\u2013573 (2023). https:\/\/doi.org\/10.1080\/02664763.2021.1911967","DOI":"10.1080\/02664763.2021.1911967"},{"issue":"3","key":"10489_CR28","doi-asserted-by":"publisher","first-page":"609","DOI":"10.1093\/biomet\/asw029","volume":"103","author":"G Xu","year":"2016","unstructured":"Xu, G., Lin, L., Wei, P., Pan, W.: An adaptive two-sample test for high-dimensional means. Biometrika 103(3), 609\u2013624 (2016). https:\/\/doi.org\/10.1093\/biomet\/asw029","journal-title":"Biometrika"},{"issue":"3","key":"10489_CR29","doi-asserted-by":"publisher","first-page":"1304","DOI":"10.1214\/19-AOS1848","volume":"48","author":"K Xue","year":"2020","unstructured":"Xue, K., Yao, F.: Distribution and correlation-free two-sample test of high-dimensional means. Ann. Stat. 48(3), 1304\u20131328 (2020). https:\/\/doi.org\/10.1214\/19-AOS1848","journal-title":"Ann. Stat."},{"issue":"537","key":"10489_CR30","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1080\/01621459.2020.1773832","volume":"117","author":"J Yu","year":"2022","unstructured":"Yu, J., Wang, H., Ai, M., Zhang, H.: Optimal distributed subsampling for maximum quasi-likelihood estimators with massive data. J. Am. Stat. Assoc. 117(537), 265\u2013276 (2022). https:\/\/doi.org\/10.1080\/01621459.2020.1773832","journal-title":"J. Am. Stat. Assoc."},{"key":"10489_CR31","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/j.csda.2015.12.004","volume":"97","author":"J Zhang","year":"2016","unstructured":"Zhang, J., Pan, M.: A high-dimension two-sample test for the mean using cluster subspaces. Comput. Stat. Data Anal. 97, 87\u201397 (2016). https:\/\/doi.org\/10.1016\/j.csda.2015.12.004","journal-title":"Comput. Stat. Data Anal."},{"issue":"545","key":"10489_CR32","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1080\/01621459.2022.2126363","volume":"119","author":"X Zhang","year":"2024","unstructured":"Zhang, X., Liu, J., Zhu, Z.: Learning coefficient heterogeneity over networks: a distributed spanning-tree-based fused-lasso regression. J. Am. Stat. Assoc. 119(545), 485\u2013497 (2024). https:\/\/doi.org\/10.1080\/01621459.2022.2126363","journal-title":"J. Am. Stat. Assoc."}],"container-title":["Statistics and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-024-10489-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11222-024-10489-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11222-024-10489-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,25]],"date-time":"2024-11-25T12:11:36Z","timestamp":1732536696000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11222-024-10489-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,9,23]]},"references-count":32,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2024,12]]}},"alternative-id":["10489"],"URL":"https:\/\/doi.org\/10.1007\/s11222-024-10489-3","relation":{},"ISSN":["0960-3174","1573-1375"],"issn-type":[{"type":"print","value":"0960-3174"},{"type":"electronic","value":"1573-1375"}],"subject":[],"published":{"date-parts":[[2024,9,23]]},"assertion":[{"value":"19 August 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 August 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 September 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declaration"}},{"value":"The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"187"}}