On the Moments of the Beta Normal Distribution

作者: Arjun K. Gupta , Saralees Nadarajah

DOI: 10.1081/STA-120026573

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摘要: Abstract Eugene et al. [Eugene, N., Lee, C., Famoye, F. (2002). Beta-normal distribution and its applications. Commun. Stat. Theory Meth. 31:497–512] introduced the beta normal distribution, generated from logit of a random variable. The only properties studied by them are first moments for some particular values parameters. In this article, we derive more general expression nth moment distribution. We also consider several cases (including those considered al.). Apart being general, proof our results simpler avoid differential equations approach taken

参考文章(2)
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Nicholas Eugene, Carl Lee, Felix Famoye, BETA-NORMAL DISTRIBUTION AND ITS APPLICATIONS Communications in Statistics-theory and Methods. ,vol. 31, pp. 497- 512 ,(2002) , 10.1081/STA-120003130