Understanding Convergence Concepts: A Visual-Minded and Graphical Simulation-Based Approach
Pierre Lafaye de Micheaux, Benoît Liquet · The American Statistician · 2009
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.