Posts Tagged ‘ skewness ’

Cross-sectional skewness and kurtosis: stocks and portfolios

April 30, 2012
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Cross-sectional skewness and kurtosis: stocks and portfolios

Not quite expected behavior of skewness and kurtosis. The question In each time period the returns of a universe of stocks will have some distribution — distributions as displayed in “Replacing market indices” and Figure 1. Figure 1: A cross-sectional distribution of simple returns of stocks. In particular they will have values for skewness and … Continue reading...

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A slice of S&P 500 skewness history

January 16, 2012
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A slice of S&P 500 skewness history

How symmetric are the returns of the S&P 500? How does the skewness change over time? Previously We looked at the predictability of kurtosis and skewness in S&P constituents.  We didn’t see any predictability of skewness among the constituents.  Here we look at skewness from a different angle. The data Daily log returns of the … Continue reading...

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Predictability of kurtosis and skewness in S&P constituents

October 3, 2011
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Predictability of kurtosis and skewness in S&P constituents

How much predictability is there for these higher moments? Data The data consist of daily returns from the start of 2007 through mid 2011 for almost all of the S&P 500 constituents. Estimates were made over each half year of data.  Hence there are 8 pairs of estimates where one estimate immediately follows the other. … Continue reading...

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Example 8.42: skewness and kurtosis and more moments (oh my!)

June 27, 2011
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Example 8.42: skewness and kurtosis and more moments (oh my!)

While skewness and kurtosis are not as often calculated and reported as mean and standard deviation, they can be useful at times. Skewness is the 3rd moment around the mean, and characterizes whether the distribution is symmetric (skewness=0). Kurtos...

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Boxplots and Beyond – Part II: Asymmetry

Boxplots and Beyond – Part II: Asymmetry

In my last post, I discussed boxplots in their simplest forms, illustrating some of the useful options available with the boxplot command in the open-source statistical software package R.  As I noted in that post, the basic boxplot is both useful...

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