A very flexible hybrid censoring scheme and its Fisher information
Various hybrid censoring schemes, which are mixtures of Type I and Type II censoring schemes, have been suggested for flexibility in termination time and efficiency level. In this paper, we propose a general hybrid censoring scheme to be a censoring scheme with Type I or Type II bounds which provides more flexible termination time and efficiency level. The Type I hybrid censoring scheme can be interpreted as a Type I censoring scheme with a Type II upper bound, while the generalized Type I hybrid censoring can be interpreted as a Type I censoring scheme with Type II lower and upper bounds. The bounds involved in the termination can also be a hybrid. We then show that the unified hybrid censoring scheme of Balakrishnan et al. [Exact likelihood inference based on an unified hybrid censored sample from the exponential distribution, J. Statist. Comput. Simul. 78 (2008), pp. 475-488] is a special case of the general hybrid censoring scheme. Finally, we discuss several new hybrid censoring schemes and evaluate the Fisher information contained in them.
censored data hazard function order statistics addition rule