{"id":2142,"date":"2024-12-06T10:58:49","date_gmt":"2024-12-06T02:58:49","guid":{"rendered":"https:\/\/changjinyuan.com\/?p=2142"},"modified":"2025-07-09T16:27:52","modified_gmt":"2025-07-09T08:27:52","slug":"series-representative-work-three-a-new-theory-of-statistical-inference-based-on-gaussian-approximation","status":"publish","type":"post","link":"https:\/\/changjinyuan.com\/index.php\/en\/publications-en\/publications-proxy-en\/2142\/","title":{"rendered":"Representative Work Series 3: New Theories of Statistical Inference Based on Gaussian Approximation"},"content":{"rendered":"<ul>\n<li><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2025\/07\/Statistical-Inference-for-High-Dimensional-Spectral-Density-Matrix.pdf\"><strong>Chang, J.<\/strong>, Jiang, Q., McElroy, T., &amp; Shao, X. (2025+). Statistical inference for high-dimensional spectral density matrix. <strong><em>Journal of the American Statistical Association<\/em><\/strong>, in press.<\/a><\/span><\/li>\n<li><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2025\/07\/EDGE-DIFFERENTIALLY-PRIVATE-ESTIMATION-IN-THE-%CE%B2-MODEL-VIA.pdf\"><strong>Chang, J.<\/strong>, <strong>Hu, Q.<\/strong>, Kolaczyk, E. D., Yao, Q., &amp; Yi, F. (2024). Edge differentially private estimation in the \u03b2-model via jittering and method of moments. <strong><em>Annals of Statistics<\/em><\/strong>, 52, 708-728.<\/a><\/span><\/li>\n<li><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2024\/12\/Central-limit-theorems-for-high-dimensional-dependent-data.pdf\"><strong>Chang, J.<\/strong>, Chen, X., &amp; <strong>Wu, M<\/strong>. (2024). Central limit theorems for high dimensional dependent data. <strong><em>Bernoulli<\/em><\/strong>, 30, 712-742.<\/a><\/span><\/li>\n<li><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2024\/12\/Statistical-Inferences-for-Complex-Dependence-of-Multimodal-Imaging-Data.pdf\"><strong>Chang, J.<\/strong>, <strong>He, J.<\/strong>, Kang, J., &amp; <strong>Wu, M.<\/strong> (2024). Statistical inferences for complex dependence of multimodal imaging data.<em><strong> Journal of the American Statistical Association<\/strong><\/em>, 119, 1486-1499.<\/a><\/span><\/li>\n<li><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2024\/11\/Testing-the-martingale-difference-hypothesis-in-high-dimension.pdf\"><strong>Chang, J.<\/strong>, Jiang, Q., &amp; Shao, X. (2023). Testing the martingale difference hypothesis in high dimension. <em><strong>Journal of Econometrics<\/strong><\/em>, 235, 972-1000.<\/a><\/span><\/li>\n<li><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2024\/12\/Confidence-regions-for-entries-of-a-large-precision-matrix.pdf\"><strong>Chang, J.<\/strong>, Qiu, Y., Yao, Q., &amp; Zou, T. (2018). Confidence regions for entries of a large precision matrix. <strong><em>Journal of Econometrics<\/em><\/strong>, 206, 57-82.<\/a><\/span><\/li>\n<li><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2024\/12\/Testing-for-high-dimensional-white-noise-using-maximum-cross-correlations.pdf\"><strong>Chang, J.<\/strong>, Yao, Q., &amp; Zhou, W. (2017). Testing for high-dimensional white noise using maximum cross-correlations. <em><strong>Biometrika<\/strong><\/em>, 104, 111-127.<\/a><\/span><\/li>\n<li><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2024\/12\/Simulation-based-hypothesis-testing-of-high-dimensional-means-under-covariance-heterogeneity.pdf\"><strong>Chang, J.<\/strong>, Zheng, C., Zhou, W.-X., &amp; Zhou, W. (2017). Simulation-based hypothesis testing of high dimensional means under covariance heterogeneity. <em><strong>Biometrics<\/strong><\/em>, 73, 1300-1310.<\/a><\/span><\/li>\n<li><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/changjinyuan.com\/wp-content\/uploads\/2024\/12\/Comparing-large-covariance-matrices-under-weak-conditions-on-the-depen.pdf\"><strong>Chang, J.<\/strong>, Zhou, W., Zhou, W.-X., &amp; Wang, L. (2017). Comparing large covariance matrices under weak conditions on the dependence structure and its application to gene clustering. <em><strong>Biometrics<\/strong><\/em>, 73, 31-41.<\/a><\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>This type of research focuses on the model construction, prediction, and statistical analysis of high-dimensional time series data, mainly solving the problems of feature extraction and structured processing in high-dimensional complex dynamic data.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[19],"tags":[],"class_list":["post-2142","post","type-post","status-publish","format-standard","hentry","category-publications-proxy-en"],"acf":[],"lang":"en","translations":{"en":2142,"cn":2140},"pll_sync_post":[],"_links":{"self":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts\/2142","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/comments?post=2142"}],"version-history":[{"count":15,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts\/2142\/revisions"}],"predecessor-version":[{"id":5109,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/posts\/2142\/revisions\/5109"}],"wp:attachment":[{"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/media?parent=2142"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/categories?post=2142"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/changjinyuan.com\/index.php\/wp-json\/wp\/v2\/tags?post=2142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}