You use the number of positive raw or central moments to determine the tail weight of these distributions (existence of moments test). Which of the following are true based on the existence of moments test? L The Pareto distribution has a heavier tail than the exponential distribution. IL. The Weibull distribution has a heavier tail than the paralogistic distribution. III The gamma distribution has a heavier tail than the inverse gamma distribution. IV. The Burr distribution has a heavier tail than the lognormal distribution. I and II only Il and III only Il and IV only D. 1 and IV only Il and IV only B.

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You use the number of positive raw or central moments to determine the tail weight of these distributions (existence of moments test).
Which of the following are true based on the existence of moments test?
I.The Pareto distribution has a heavier tail than the exponential distribution.
II. The Weibull distribution has a heavier tail than the paralogistic distribution.
III The gamma distribution has a heavier tail than the inverse gamma distribution.
IV. The Burr distribution has a heavier tail than the lognormal distribution.
I and Il only
A
B
Il and III only
I and IV only
I and IV only
D.
Il and IV only
Transcribed Image Text:You use the number of positive raw or central moments to determine the tail weight of these distributions (existence of moments test). Which of the following are true based on the existence of moments test? I.The Pareto distribution has a heavier tail than the exponential distribution. II. The Weibull distribution has a heavier tail than the paralogistic distribution. III The gamma distribution has a heavier tail than the inverse gamma distribution. IV. The Burr distribution has a heavier tail than the lognormal distribution. I and Il only A B Il and III only I and IV only I and IV only D. Il and IV only
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