1
Faculty Member, Department of Statistics, University of Zanjan, Iran
2
Master's degree in Statistics, University of Zanjan, Iran
Abstract
In this paper, the Kamaraswamy distribution is first introduced. Then, the joint and marginal distribution functions for W=X1/X2 and T = X1/X1+X2, where X2 and X1 are independent variables with Kamaraswamy distribution, are obtained. Also, the moments of the variables W and T are calculated. The Kamaraswamy distribution is used as a prior distribution in Bayesian statistical models due to its flexibility with respect to its parameters, and the distribution of the variables T and W is used in pressure-power models related to the reliability of systems.
Rasouli, A. & Imani, M. (2017). Kamaraswamy's distribution of independent variables and its application in reliability issues. Andishe_ye Amari, 22(1), 11-15.
MLA
Rasouli, A., & Imani, M. "Kamaraswamy's distribution of independent variables and its application in reliability issues", Andishe_ye Amari, 22, 1, 2017, 11-15.
HARVARD
Rasouli A., Imani M. (2017). 'Kamaraswamy's distribution of independent variables and its application in reliability issues', Andishe_ye Amari, 22(1), pp. 11-15.
CHICAGO
A. Rasouli & M. Imani, "Kamaraswamy's distribution of independent variables and its application in reliability issues," Andishe_ye Amari, 22 1 (2017): 11-15,
VANCOUVER
Rasouli A., Imani M. Kamaraswamy's distribution of independent variables and its application in reliability issues. Andishe_ye Amari. 2017;22(1):11-15 (In Persian).
