Extreme value estimation for heterogeneous data

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3 Citations (Scopus)

Abstract

We develop a universal econometric formulation of empirical power laws possibly driven by parameter heterogeneity. Our approach extends classical extreme value theory to specifying the tail behavior of the empirical distribution of a general dataset with possibly heterogeneous marginal distributions. We discuss several model examples that satisfy our conditions and demonstrate in simulations how heterogeneity may generate empirical power laws. We observe a cross-sectional power law for the U.S. stock losses and show that this tail behavior is largely driven by the heterogeneous volatilities of the individual assets.

Original languageEnglish
Pages (from-to)255-269
Number of pages15
JournalJournal of Business & Economic Statistics
Volume41
Issue number1
DOIs
Publication statusPublished - Jan 2023

Keywords

  • power law
  • extreme values
  • heterogeneous data
  • COVD-19
  • inequality

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