期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2006
卷号:2006
DOI:10.1155/IJMMS/2006/16156
出版社:Hindawi Publishing Corporation
摘要:Three new distributions on the unit interval [0,1] are introduced which generalize the standard beta distribution. These
distributions involve the Bessel function. Expression is derived
for their shapes, particular cases, and the nth moments.
Estimation by the method of maximum likelihood and Bayes
estimation are discussed. Finally, an application to consumer
price indices is illustrated to show that the proposed
distributions are better models to economic data than one based on
the standard beta distribution.