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

Author

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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

    as
    1. 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.
    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 Science and Technology, number hsbook9401, December.
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    Cited by:

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    3. 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.
    4. Chipeta Chama & Meyer Daniel Francois & Muzindutsi Paul-Francois, 2017. "The Effect of Exchange Rate Movements and Economic Growth on Job Creation," Studia Universitatis Babeș-Bolyai Oeconomica, Sciendo, vol. 62(2), pages 20-41, August.
    5. Greg Hannsgen, 2011. "Infinite-variance, Alpha-stable Shocks in Monetary SVAR: Final Working Paper Version," Economics Working Paper Archive wp_682, Levy Economics Institute.
    6. Tereza Zichová, . "Visual Interface Design Innovation: Citizens' Perception of Financial Administration Applications," Acta Informatica Pragensia, Prague University of Economics and Business, vol. 0.
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    10. Tereza Zichová, 2022. "Visual Interface Design Innovation: Citizens' Perception of Financial Administration Applications," Acta Informatica Pragensia, Prague University of Economics and Business, vol. 2022(1), pages 1-14.

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    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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