Weighted generalized beta distribution of the second kind and related distributions

Artikel

In this paper, a new class of weighted generalized beta distribution of the second kind (WGB2) is presented. The construction makes use of the conservability approach which includes the size or length-biased distribution as a special case. The class of WGB2 is used as descriptive models for the distribution of income. The results that are presented generalizes the generalized beta distribution of second kind (GB2). The properties of these distributions including behavior of hazard functions, moments, variance, coefficients of variation, skewness and kurtosis are obtained. The moments of other weighted distributions that are related to WGB2 are obtained. Other important properties including entropy (generalized and beta) which are measures of the uncertainty in this class of distributions are derived and studied.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Journal of Statistical and Econometric Methods ; ISSN: 2241-0376 ; Volume: 1 ; Year: 2012 ; Issue: 1 ; Pages: 13-31 ; International Scientific Press

Classification and Topics

• Classification: Wirtschaft
• Subject: GB2 ; WGB2 ; moments ; generalized entropy ; beta entropy

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Ye, Yuan ; Oluyede, Broderick O. ; Pararai, Mavis
• Event: Veröffentlichung
• (when): 2012

Further information

• Handle: http://hdl.handle.net/10419/58014
• Last update: 10.03.2025, 11:43 AM CET