A tail index estimation for long memory processes

Xiao Wang and Lihong Wang ()
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Xiao Wang: Nanjing University
Lihong Wang: Nanjing University

Metrika: International Journal for Theoretical and Applied Statistics, 2024, vol. 87, issue 8, No 2, 947-971

Abstract: Abstract This paper provides a least squares regression estimation of the tail index for long memory processes where the innovations are $$\alpha $$ α -stable random sequences. The estimate is based on the property of the characteristic function of the process near the origin. The asymptotics of the estimator are obtained by choosing suitable regression samples with the help of the properties of the $$\alpha $$ α -stable distribution. The numerical simulation and an empirical analysis of financial market data are conducted to assess the finite sample performance of the proposed estimator.

Keywords: $$\alpha $$ α -stable; Characteristic function; Least squares estimation; Long memory; Tail index; 62M10; 62F12 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00184-023-00938-w

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