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

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  • John C. Frain

    () (Department of Economics, Trinity College Dublin)

Abstract

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.

Suggested Citation

  • John C. Frain, 2007. "Small sample power of tests of normality when the alternative is an alpha-stable distribution," Trinity Economics Papers tep0207, Trinity College Dublin, Department of Economics.
  • Handle: RePEc:tcd:tcduee:tep0207
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    File URL: http://www.tcd.ie/Economics/TEP/2007/TEP0207.pdf
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    References listed on IDEAS

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    1. 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.
    2. Weron, Rafal, 1996. "Correction to: "On the Chambers–Mallows–Stuck Method for Simulating Skewed Stable Random Variables"," MPRA Paper 20761, University Library of Munich, Germany, revised 2010.
    3. 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.
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    Cited by:

    1. repec:eee:joreco:v:39:y:2017:i:c:p:190-200 is not listed on IDEAS
    2. Greg Hannsgen, 2012. "Infinite-variance, alpha-stable shocks in monetary SVAR," International Review of Applied Economics, Taylor & Francis Journals, vol. 26(6), pages 755-786, April.
    3. Greg Hannsgen, 2011. "Infinite-variance, Alpha-stable Shocks in Monetary SVAR: Final Working Paper Version," Economics Working Paper Archive wp_682, Levy Economics Institute.
    4. Di Filippo, Gabriele, 2017. "What Drives Gross Flows in Equity and Investment Fund Shares in Luxembourg?," MPRA Paper 84200, University Library of Munich, Germany, revised 26 Jan 2018.

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions

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