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Then, two comparative analyses demonstrate the LAD estimation can handle outliers better than the least squares (LS) estimation and the necessity of introducing the UMAR model. Finally, a numerical example displays the LAD estimation in detail to verify the effectiveness of the method. The LAD estimation is also applied to a collection of actual data with cereal yield.<\/jats:p>","DOI":"10.3233\/jifs-232789","type":"journal-article","created":{"date-parts":[[2023,8,25]],"date-time":"2023-08-25T10:48:03Z","timestamp":1692960483000},"page":"7797-7809","source":"Crossref","is-referenced-by-count":2,"title":["The LAD estimation of UMAR model with imprecise observations"],"prefix":"10.1177","volume":"45","author":[{"given":"Jing","family":"Wu","sequence":"first","affiliation":[{"name":"College of Mathematics and Systems Science, Xinjiang University, Urumqi, China"}]},{"given":"Yuxin","family":"Shi","sequence":"additional","affiliation":[{"name":"College of Mathematics and Systems Science, Xinjiang University, Urumqi, China"}]},{"given":"Yuhong","family":"Sheng","sequence":"additional","affiliation":[{"name":"College of Mathematics and Systems Science, Xinjiang University, Urumqi, 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