Skewness-kurtosis bounds for the skewed generalized T and related distributions
Bounds for the skewness kurtosis space corresponding to the skewed generalized T, skewed generalized error, skewed T, and some other distributions are presented and contrasted with the bounds reported by Klaassen et al.(2000) for unimodal probability density functions. The skewed generalized T and skewed generalized error distributions have the greatest flexibility of the distributions considered.
|Date of creation:||Nov 2012|
|Date of revision:|
|Publication status:||Published in Statistics & Probability Letters, Volume 83, Issue 9, September 2013, Pages 2129â€“2134.|
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- Klaassen, Chris A. J. & Mokveld, Philip J. & van Es, Bert, 2000. "Squared skewness minus kurtosis bounded by 186/125 for unimodal distributions," Statistics & Probability Letters, Elsevier, vol. 50(2), pages 131-135, November.
- McDonald, James B. & Newey, Whitney K., 1988. "Partially Adaptive Estimation of Regression Models via the Generalized T Distribution," Econometric Theory, Cambridge University Press, vol. 4(03), pages 428-457, December.
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