Title :
An asymptotic distribution of a specific beta distribution
Author :
Zhao, Chenhao ; Song, Xiangdong ; Zhang, Huijuan
Author_Institution :
College of Science, Yanshan University, Qinhuangdao 066004, HeBei, China
Abstract :
The asymptotic distribution of the Beta distribution is studied by means of decomposing the Beta distribution properly and the classical analysis is truncation method. It is proved that the asymptotic distribution of the Beta distribution is normal distribution when the two parameters a and b of the Beta distribution are all positive members and a over a + b → α, where a,b → ∞, 0 < α < 1.
Keywords :
Asymptotic distribution; Beta distribution; Normal distribution; Positive parameter;
Conference_Titel :
Automatic Control and Artificial Intelligence (ACAI 2012), International Conference on
Conference_Location :
Xiamen
Electronic_ISBN :
978-1-84919-537-9
DOI :
10.1049/cp.2012.0998
