2000 character limit reached
On the consistency of a spatial-type interval-valued median for random intervals (1411.7694v1)
Published 27 Nov 2014 in stat.ME
Abstract: The sample $d_\theta$-median is a robust estimator of the central tendency or location of an interval-valued random variable. While the interval-valued sample mean can be highly influenced by outliers, this spatial-type interval-valued median remains much more reliable. In this paper, we show that under general conditions the sample $d_\theta$-median is a strongly consistent estimator of the $d_\theta$-median of an interval-valued random variable.