Compute the third cumulant of the beta distribution with parameters 3 and 5.
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Generate a random sample of size 100000 drawn from the above distribution and compute the third cumulant.
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Create a beta-distributed random variable Y and compute the third cumulant of 1/(Y+2).
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Verify this using simulation.
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| (5) |
Compute the cumulant of a weighted data set.
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Consider the following Matrix data set.
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We compute the second cumulant of each column.
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