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In the second step, we use a new procedure to determine the position of the change point. We show that, under suitable conditions, the desirable OP(1) rate of convergence of the estimated change point can be obtained. We apply our method to analyze the Baidu search index of COVID-19 related symptoms and find December 8, 2019, to be the starting date of the COVID-19 pandemic.<\/jats:p>","DOI":"10.1214\/24-aos2451","type":"journal-article","created":{"date-parts":[[2024,12,19]],"date-time":"2024-12-19T01:24:41Z","timestamp":1734571481000},"page":"2913-2930","source":"Crossref","is-referenced-by-count":2,"title":["Change-point analysis with irregular signals"],"prefix":"10.1214","volume":"52","author":[{"given":"Tobias","family":"Kley","sequence":"first","affiliation":[{"name":"Institute for Mathematical Stochastics, Georg-August-Universit\u00e4t G\u00f6ttingen"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuhan Philip","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Statistics, University of Chicago"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hongyuan","family":"Cao","sequence":"additional","affiliation":[{"name":"Department of Statistics, Florida State University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wei Biao","family":"Wu","sequence":"additional","affiliation":[{"name":"Department of Statistics, University of Chicago"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"108","reference":[{"key":"2","doi-asserted-by":"publisher","unstructured":"<small>Baranowski, R.<\/small>, <small>Chen, Y.<\/small> and <small>Fryzlewicz, P.<\/small> (2019). 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