It is well known that a ranked set sample under perfect ranking provides more information than an i.i.d. sample of the same size. Then it may be interesting to study how much information is lost due to imperfect ranking. In this article, we consider some ranking mechanisms and study the loss of the Fisher information according to the degree of imperfect ranking. Then we continue to discuss the optimal combination of the sample size and number of strata in terms of maximizing the Fisher information for the bivariate normal and exponential distributions.
Bibliographical noteFunding Information:
The authors would like to express their sincere gratitude to the Associate Editor and two anonymous referees for their constructive suggestions and comments. This research was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government (MEST) (No. 2010-0027533 and 2012-004905).
All Science Journal Classification (ASJC) codes
- Statistics and Probability