Quasi Median on the Circle

Abstract

The specific properties of probability distributions on a circle require different definitions of several statistical concepts. For example, a median that can always be found for linear data not always exists on the circle. Several estimators of a circular median were proposed, lately by Otieno [6], Otieno and Anderson - Cook [7]. New median estimator was proposed (CQM) and it properties were studied. A simulation study was performed to study their properties in small samples from unimodal symmetric, and skewed distributions without and with contamination.