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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Persistent link: https://EconPapers.repec.org/RePEc:bpj:bejtec:v:24:y:2024:i:1:p:435-440:n:2
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DOI: 10.1515/bejte-2023-0045
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