Advances and Applications in Statistics
Volume 9, Issue 2, Pages 233 - 246
(August 2008)
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ON BETA-FAMILY DISTRIBUTIONS
Jiantian Wang (U. S. A.)
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Abstract: Eugene et al. [2] introduced the Beta-normal distribution. For some typical parameters, they derived the first moments and Gupta and Nadarajah [4] derived the nth moments for that distribution. However, their moment derivations are complicated and some of them are not correct. In this paper, we consider the general Beta-family distributions and investigate the properties of these distributions. By applying simple and direct methods, we derive the expressions of the nth moments and give out closed forms for the nth moments of these distributions. |
Keywords and phrases: Beta-normal distribution, Beta-Weibull distribution, Beta-family distribution, moments, recursion. |
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