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As a powerful tool for modeling nonnegative variables, this paper gives a form of truncated normal uncertainty distribution, and gives the expressions or calculation formulas of its inverse uncertainty distribution, expected value, variance, and moments. In order to better apply the truncated normal uncertainty distribution to practice, this paper also studies the parameter estimation of the truncated normal uncertainty distribution based on the method of moments, the method of maximum likelihood and the method of least squares, and derives the rejection region of the corresponding hypothesis testing. Finally, this paper also illustrates the above results with two real data examples. <\/jats:p>","DOI":"10.1142\/s1752890925500023","type":"journal-article","created":{"date-parts":[[2025,1,18]],"date-time":"2025-01-18T00:30:26Z","timestamp":1737160226000},"source":"Crossref","is-referenced-by-count":0,"title":["Parameter Estimation and Hypothesis Testing of Truncated Normal Uncertainty Distribution for Nonnegative Variables"],"prefix":"10.1142","volume":"18","author":[{"given":"Tuo","family":"Feng","sequence":"first","affiliation":[{"name":"China Automotive Logistics Association of CFLP, Beijing 100073, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0780-8267","authenticated-orcid":false,"given":"Yang","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Economics and Management, Beihang University, Beijing 100191, China"}]}],"member":"219","published-online":{"date-parts":[[2025,2,11]]},"reference":[{"key":"S1752890925500023BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-73165-8_5"},{"issue":"1","key":"S1752890925500023BIB002","first-page":"3","volume":"3","author":"Liu B.","year":"2009","journal-title":"J. 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