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Based on the previous theoretical results, the UMAR model is used to forecast the future. Finally, an example suggests that the new proposed time series model works well compared to the uncertain autoregressive (UAR) model.<\/jats:p>","DOI":"10.3233\/jifs-210848","type":"journal-article","created":{"date-parts":[[2021,9,10]],"date-time":"2021-09-10T13:13:39Z","timestamp":1631279619000},"page":"6915-6922","source":"Crossref","is-referenced-by-count":16,"title":["Uncertain max-autoregressive model with imprecise observations"],"prefix":"10.1177","volume":"41","author":[{"given":"Han","family":"Tang","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Tsinghua University, Beijing, China"}]},{"family":"Dalin","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Inner Mongolia University, Inner Mongolia, China"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-210848_ref1","doi-asserted-by":"crossref","first-page":"16803","DOI":"10.1007\/s00500-020-04973-x","article-title":"Tukey\u2019s biweight estimation for uncertain 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