Higher-order representation of Karamata theorem

Xi Yang, Qian Xiong and Zuoxiang Peng

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 8, 2744-2756

Abstract: As an important result in extreme value theory, Karamata theorem provides the integral properties of regularly varying functions. In this paper, the third-order version of Karamata theorem is derived, which is generalization for the known Karamata theorem. Furthermore, analytic expressions for the second and third-order regularly varying function are established.

Date: 2024
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DOI: 10.1080/03610926.2022.2148473

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