The following symmetrical distributions

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The extent to which a distribution is peaked or flat, also called the kurtosis of the distribution, is often measured by means of the quantity

Use the formula for μ4 obtained in Exercise 25 to find α4 for each of the following symmetrical distributions, of which the first is more peaked (narrow humped) than the second:

Exercise 25

Show that

for r = 1, 2, 3, ... , and use this formula to express μ3 and μ4 in terms of moments about the origin.

Reference no: EM131129478

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