Theoretical Properties of the Weighted Generalized Rayleigh and Related Distributions

Authors

Xueheng Shi, Georgia Institute of Technology
Broderick O. Oluyede, Georgia Southern UniversityFollow
Marvis Pararai, Indiana University of Pennsylvania - Main CampusFollow

Document Type

Article

Publication Date

2012

Publication Title

Theoretical Mathematics and Applications

ISSN

1792-9709

Abstract

In this paper, a new class of weighted generalization of the Rayleigh distribution is constructed and studied. The statistical properties of these distributions including the behavior of hazard or failure rate and reverse hazard functions, moments, moment generating function, mean, variance, coecient of variation, coecient of skewness, coecient of kurtosis are obtained. Other important properties including entropy (Shannon, beta and generalized) which are measures of the uncertainty in these distributions are also presented.

Comments

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Article obtained from Theoretical Mathematics and Applications.

Recommended Citation

Shi, Xueheng, Broderick O. Oluyede, Marvis Pararai. 2012. "Theoretical Properties of the Weighted Generalized Rayleigh and Related Distributions." Theoretical Mathematics and Applications, 2 (2): 45-62. source: http://www.scienpress.com/journal_focus.asp?main_id=60&Sub_id=IV&Issue=283
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/141