A Note on Fisher Information and Imperfect Ranked-Set Sampling

Abstract

We show by example that the Fisher information in an imperfect ranked-set sample may be higher than the Fisher information in a perfect ranked-set sample. This corrects certain misconceptions in the literature. The example also provides an additional counterexample to a common claim about the relationship between imperfect rankings and perfect rankings.

Keywords:

• Misconceptions
• MLE
• Order statistics.

Mathematics Subject Classification:

• 62B10
• 62D05
• 62G30.