Discussiones Mathematicae Probability and Statistics 20(1) (2000) 115-134

Jaromír Antoch and Marie Husková

*Department of Statistics, Charles University
Sokolovská 83, CZ - 186 75 Praha 8 - Karlín, Czech Republic*

The purpose of this paper is to study Bayesian like R- and M-estimators of change point(s). These estimators have smaller variance than the related argmax type estimators. Confidence intervals for the change point based on the exchangeability arguments are constructed. Finally, theoretical results are illustrated on the real data set.

**Keywords:** estimators of change point, rank statistics, M- and R-estimators,
fixed and local changes.

**1991 Mathematics Subject Classification:** 62G20, 62E20, 60F17.

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Received 20 February 1999