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A Note on a Moment Inequality

Jeong Seungwon (Eugene) ()
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Jeong Seungwon (Eugene): College of Business, KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon, 34141, Republic of Korea

The B.E. Journal of Theoretical Economics, 2024, vol. 24, issue 1, 435-440

Abstract: Using Chebyshev’s sum inequality, we generalize E[X 2] ≥ E 2[X] into a moment inequality with a general combination of moments that compares E[X r+s ] and E[X r ]E[X s ]. We also provide its economic application.

Keywords: moment inequality; Chebyshev’s sum inequality; uncertainty (search for similar items in EconPapers)
JEL-codes: C02 D44 D81 H57 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1515/bejte-2023-0045

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