Uncertain hypothesis test with application to uncertain regression analysis

Tingqing Ye () and Baoding Liu ()
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Tingqing Ye: Tsinghua University
Baoding Liu: Tsinghua University

Fuzzy Optimization and Decision Making, 2022, vol. 21, issue 2, No 1, 157-174

Abstract: Abstract This paper first establishes uncertain hypothesis test as a mathematical tool that uses uncertainty theory to help people rationally judge whether some hypotheses are correct or not, according to observed data. As an application, uncertain hypothesis test is employed in uncertain regression analysis to test whether the estimated disturbance term and the fitted regression model are appropriate. In order to illustrate the test process, some numerical examples are documented.

Keywords: Uncertainty theory; Uncertain statistics; Hypothesis test; Regression analysis (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (15)

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DOI: 10.1007/s10700-021-09365-w

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