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Small sample power of tests of normality when the alternative is an alpha-stable distribution

  • John C. Frain


    (Department of Economics, Trinity College Dublin)

This paper is a Monte-Carlo study of the small sample power of six tests of a normality hypotheses when the alternative is an alpha-stable distribution with param- eter values similar to those estimated for monthly total returns on equity indices. In these circumstances a sample size of 2oo is required to detect departures from normality. In most cases only small samples of consistent monthly data on such to- tal returns are available and these are not sufficient to differentiate between normal and alpha-stable distributions.

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Paper provided by Trinity College Dublin, Department of Economics in its series Trinity Economics Papers with number tep0207.

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Length: 51 pages
Date of creation: Feb 2007
Date of revision:
Handle: RePEc:tcd:tcduee:tep0207
Contact details of provider: Postal: Trinity College, Dublin 2
Phone: (+ 353 1) 6081325
Fax: 6772503
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  1. Rafal Weron, 1996. "Correction to: "On the Chambers-Mallows-Stuck Method for Simulating Skewed Stable Random Variables"," HSC Research Reports HSC/96/01, Hugo Steinhaus Center, Wroclaw University of Technology.
  2. Weron, Rafal, 1996. "On the Chambers-Mallows-Stuck method for simulating skewed stable random variables," Statistics & Probability Letters, Elsevier, vol. 28(2), pages 165-171, June.
  3. Aleksander Janicki & Aleksander Weron, 1994. "Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook9401.
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