Basic Statistics20785 marksNumerical: kurtosis and momentsCoefficient of kurtosis
The standard deviation of a symmetric distribution is 7. Compute the possible value of fourth central moment for the distribution to be (i) mesokurtic (ii) platykurtic, and (iii) leptokurtic.
The standard deviation of a symmetric distribution is 7. Compute the possible value of fourth central moment for the distribution to be (i) mesokurtic (ii) platykurtic, and (iii) leptokurtic. [5]
- Standard deviation: $\sigma = 7$ - Distribution is symmetric - Required: value of the fourth central moment $\mu4$ for the distribution to be (i) mesokurtic, (ii) platykurtic, (iii) leptokurtic The coefficient of kurtosis is: $$\beta2 = \frac{\mu4}{\mu2^2} = \frac{\mu4}{\sigma^4}$$ since