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Limiting Effects of Outliers

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I am trying to use OLS regression. I have tested my model for normality and it meets the OLS assumption except the outliers. I am wondering what's the best way to fix this without threating the validity of my results. I have researched various methods but cannot come to a conclusion of which is best. Furthermore, I have read it is possible to limit the effect of outliers through the use of robust regression though I not convinced this is the case. The data I am working with is Time Series.

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