Beta Bessel distributions

Gupta, Arjun K.; Nadarajah, Saralees

doi:https://doi.org/10.1155/IJMMS/2006/16156

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 016156 | https://doi.org/10.1155/IJMMS/2006/16156

Beta Bessel distributions

Arjun K. Gupta¹and Saralees Nadarajah²

Received05 Dec 2005

Revised04 May 2006

Accepted07 May 2006

Published06 Aug 2006

Abstract

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.

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Copyright

Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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