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  • 标题:Marked point process adjusted tail dependence analysis for high-frequency financial data
  • 作者:Alexander Malinowski ; Martin Schlather ; Zhengjun Zhang
  • 期刊名称:Statistics and Its Interface
  • 印刷版ISSN:1938-7989
  • 电子版ISSN:1938-7997
  • 出版年度:2015
  • 卷号:8
  • 期号:1
  • 页码:109-122
  • DOI:10.4310/SII.2015.v8.n1.a10
  • 出版社:International Press
  • 摘要:Although the extremes of high-frequency financial transaction data have a huge economic impact, basic characteristics of the data have not been addressed up to now. To capture dependence between the tail behavior of intertransaction returns and the pattern of transaction times, this paper combines marked point process (MPP) theory with extreme value analysis. Suitable measures of interaction are provided, based on second-order moments of MPPs. Applying these measures to financial transaction data, it is verified that the extreme value index of the return distribution is indeed locally increased, i.e., on the scale of minutes, by the existence of surrounding transactions. A simulation study underpins the observed effects and enables assessing the finite sample properties of the respective estimators. Further, asymptotic results on the estimators are given.
  • 关键词:tail index; mark-location dependence; moment measure; transaction data
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