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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Find related papers by JEL classification: C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Econometric and Statistical Methods; Specific Distributions C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
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