WANG Meichen, YE Cinan, XU Dongyuan
CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST. 2006, 22(2): 127-136.
Abstract (
)
Download PDF (
)
Knowledge map
Save
Consider a dependent bivariate distribution whose reliability function is $$
\ol{F}(x_1,x_2)=\exp\{-[(x_1^{1/\alpha}/\theta_1)^{1/\delta}
+(x_2^{1/\alpha}/\theta_2)^{1/\delta}]^{\delta}\},
\;\;\;x_i>0,\,\alpha>0,\,1\geq\delta>0,\,\theta_i>0\;(i=1,2).
$$Two kinds of stress-strength model are discussed respectively. Moment-type
estimators of structural reliability for those models are proposed and their
asymptotic properties are discussed. At last, a simulation result is given.