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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

    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 Technology, number hsbook9401.
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    Cited by:

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    2. Chama CHIPETA & Daniel Francois MEYER, 2018. "Trade Openness, FDI and Exchange Rate Effects on Job Creation in South Africa's Tradable Sectors," Journal of Economics and Behavioral Studies, AMH International, vol. 10(4), pages 197-212.
    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.
    7. Baldin, Andrea, 2017. "A DEA approach for selecting a bundle of tickets for performing arts events," Journal of Retailing and Consumer Services, Elsevier, vol. 39(C), pages 190-200.
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    9. Meyer Danie Francois & Chipeta Chama & Camel Richard Thabang Mc, 2018. "An Analysis of the Effectiveness of Interest Rates to Facilitate Price Stability and Economic Growth in South Africa," Studia Universitatis Babeș-Bolyai Oeconomica, Sciendo, vol. 63(3), pages 68-90, December.
    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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