Understanding convergence concepts: a visual-minded and graphical simulation-based approach

Pierre Lafaye De Micheaux, Benoit Liquet

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

This article describes the difficult concepts of convergence in probability, convergence almost surely, convergence in law, and convergence in rth mean using a visual-minded and graphical simulation-based approach. For this purpose, each probability of events is approximated by a frequency. An R package that reproduces all of the experiments cited in this article is available in CRAN. See the online Supplement for details.

Original languageEnglish
Pages (from-to)173-178
Number of pages6
JournalAmerican Statistician
Volume63
Issue number2
DOIs
Publication statusPublished - 2009
Externally publishedYes

Keywords

  • Convergence almost surely
  • Convergence in law
  • Convergence in probability
  • Convergence in rth mean
  • Dynamic graphics
  • Monte carlo simulation
  • R language
  • Visualization

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