WEAK ASYMPTOTICS OF THE BAYES ESTIMATOR OF THE RELIABILITY FUNCTION IN THE KOZIOL-GREEN MODEL

MICHAL FRIESL
2001 Statistics & Risk Modeling  
The Bayesian estimator (assuming conjugate prior density) of the reliability function in the Koziol-Green model with exponential distribution is considered, and the weak convergence of the estimator process to the Gaussian process in C[0, ∞] is proved. t ≥ 0, and T 1 , T 2 , . . . , T n (time censors) distributed Exp(λγ) (γ > 0). The reliability function of T equals R γ and satisfies thus the assumption of the Koziol-Green model -to be a power of that of X. Instead of γ we can consider the
more » ... n consider the parameter p = (1 + γ) −1 .
doi:10.1524/strm.2001.19.1.83 fatcat:qphfqqdlcrftpoalt7ud5keboa