{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T03:34:40Z","timestamp":1785468880471,"version":"3.56.0"},"reference-count":37,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,1,31]],"date-time":"2021-01-31T00:00:00Z","timestamp":1612051200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Kalman filtering is a linear quadratic estimation (LQE) algorithm that uses a time series of observed data to produce estimations of unknown variables. The Kalman filter (KF) concept is widely used in applied mathematics and signal processing. In this study, we developed a methodology for estimating Gaussian errors by minimizing the symmetric loss function. Relevant applications of the kinetic models are described at the end of the manuscript.<\/jats:p>","DOI":"10.3390\/sym13020240","type":"journal-article","created":{"date-parts":[[2021,1,31]],"date-time":"2021-01-31T21:31:56Z","timestamp":1612128716000},"page":"240","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["An Application of the Kalman Filter Recursive Algorithm to Estimate the Gaussian Errors by Minimizing the Symmetric Loss Function"],"prefix":"10.3390","volume":"13","author":[{"given":"Cristian","family":"Busu","sequence":"first","affiliation":[{"name":"Faculty of Management, Bucharest University of Economic Studies, 6 Piata Romana, 1st District, 010374 Bucharest, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4172-0405","authenticated-orcid":false,"given":"Mihail","family":"Busu","sequence":"additional","affiliation":[{"name":"Faculty of Business Administration in Foreign Languages, Bucharest University of Economic Studies, 6 Piata Romana, 1st District, 010374 Bucharest, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2021,1,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Musoff, H., and Zarchan, P. 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