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.
Bibliographical noteFunding Information:
The authors are grateful to an anonymous referee and an associate editor for making some useful comments on an earlier version of this manuscript. Park’s work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2008-0061196).
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Modelling and Simulation
- Statistics, Probability and Uncertainty
- Applied Mathematics