TY - JOUR
AU - Nordhausen, Klaus
AU - Oja, Hannu
PY - 2011/07/25
Y2 - 2023/11/28
TI - Multivariate L1 Statistical Methods: The Package MNM
JF - Journal of Statistical Software
JA - J. Stat. Soft.
VL - 43
IS - 5
SE - Articles
DO - 10.18637/jss.v043.i05
UR - https://www.jstatsoft.org/index.php/jss/article/view/v043i05
SP - 1 - 28
AB - In the paper we present an R package <b>MNM</b> dedicated to multivariate data analysis based on the L<sub>1</sub> norm. The analysis proceeds very much as does a traditional multivariate analysis. The regular L<sub>2</sub> norm is just replaced by different L<sub>1</sub> norms, observation vectors are replaced by their (standardized and centered) spatial signs, spatial ranks, and spatial signed-ranks, and so on. The procedures are fairly efficient and robust, and no moment assumptions are needed for asymptotic approximations. The background theory is briefly explained in the multivariate linear regression model case, and the use of the package is illustrated with several examples using the R package <b>MNM</b>.
ER -