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Richard Hardy
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The question requires either an article-long answer or some references. I will provide the latter. For an extensive overview of different GARCH models, see Bollerslev "Glossary to ARCH (GARCH)" (2009) and Ghalanos "Introduction to the rugarch package" (2022).

Richard Hardy
  • 69.5k
  • 13
  • 126
  • 278