For strong positive skewness
values (> 1) log transformation is suggested while for data sets exhibiting skewness coefficients values 1 and 1) coefficient log-normal transformation shall be applied while parameters with skewness values between 0.5 and 1, square root transformation method shall be used to achieve the objective of approximate normality .
Under the same assumption that [gamma] > [zeta] and [zeta] < 1, this term rewards positive skewness
of the future value function and penalizes negative skewness.
Furthermore, the MA timing quintiles display a similar scale but all positive skewness
across the volatility quintile.
Distressed stocks are similar to options/lotteries and may attract investors who seek positive skewness
. Therefore, in countries where stock returns, in general, are more positively skewed, the demand for distressed stocks will be lower resulting in higher returns on such stocks.
All variables, except for Distance (D), exhibit high coefficient of variation (CV), positive skewness
and high kurtosis (or leptokurtic distribution).
This in turn produces a strong positive skewness
when scores are aggregated, and requires the data to be transformed before many parametric and nonparamerric statistical techniques could be performed (Tabachnick & Fidell, 2013; Whisman et al., 2013).
indicates that most values are located on the left side of the mean, and negative skewness indicates that most values are located on the right side of the mean.
By adding these variables to the traditional CAPM, the authors provided evidences to back up their research by pointing out that the market tends to outperform with 5% each year when the correlation is positive skewness
and underperform 2.81% per year with negative skewness.
The sentiment variables have low values for their means, the lowest among the three studied markets, with high deviations and positive skewness
. The descriptive statistics for log-returns and risk measurements follow the same pattern as the other markets.
The SGS distribution captures the significant positive skewness
of the Nino3 PDF (Fig.
The phenomenon is a consequence of "positive skewness
on the cross-sectional distribution of stock returns." Skewness is present in undiversified portfolios but not in fully diversified ones.
Furthermore, all categories exhibited positive skewness
, indicating that most of the expenditures are in the lower end category and fewer expenditures are in the higher end.