Some interpretation of the Bahadur bound and the rate of convergence of the maximum likelihood estimator is provided using a theorem of Fu (1982) and the geometrical methods discussed in Kass (1984). We focus on replicated nonlinear regression and show that, in the sense of rate of convergence...

Many engineering systems such as series system, standby redundant system, k-out-of-n system, consecutive k-out-of-n: F system, deterioration system, and repairable system, all of them can be viewed as linearly connected systems. This paper mainly studies the reliabilities and survival times of...

It is well-known that the rate of exponential convergence for any consistent estimator is less than or equal to the Bahadur bound. In this paper we have proven, for the one-dimensional case, that the rate of exponential convergence for the maximum likelihood estimator (m.l.e.) attains the...

The method of Pao-Zhuan Yin-Yu introduced by Fu and Li (1992) is a data-based computer intensive resampling technique which provides a numerical solution for the minimum variance unbiased estimator of one-dimensional parameter. In this paper, the method is generalized to cover multi-dimensional...