Basic Statistics20805 marksNumerical: skewness and kurtosisCoefficient of skewness
If the first four moments about mean are 0, 2.8, -2 and 24.5 respectively. Compute coefficient of skewness and kurtosis and comment upon result.
If the first four moments about mean are 0, 2.8, -2 and 24.5 respectively. Compute coefficient of skewness and kurtosis and comment upon result. [5]
- First moment about mean: $\mu1 = 0$ - Second moment about mean: $\mu2 = 2.8$ - Third moment about mean: $\mu3 = -2$ - Fourth moment about mean: $\mu4 = 24.5$ Using the beta coefficient: $$\beta1 = \frac{\mu3^2}{\mu2^3} = \frac{(-2)^2}{(2.8)^3} = \frac{4}{21.952} = 0.1822$$ The gamma coefficient...