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The sample $d_\theta$-median is a robust estimator of the central tendency orlocation of an interval-valued random variable. While the interval-valuedsample mean can be highly influenced by outliers, this spatial-typeinterval-valued median remains much more reliable. In this paper, we show thatunder general conditions the sample $d_\theta$-median is a strongly consistentestimator of the $d_\theta$-median of an interval-valued random variable.

On the consistency of a spatial-type interval-valued median for random intervals