On the Estimation of Location Parameters in the Multivariate One-Sample and Two-Sample Problems - Softcover

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9781332781607: On the Estimation of Location Parameters in the Multivariate One-Sample and Two-Sample Problems

Synopsis

This book introduces a class of statistical estimation methods in multivariate one and two-sample issues. The author begins by reviewing past work in the field before introducing their estimation methods based on coordinate-wise rank order test statistics for one and two-sample scenarios. They demonstrate how these estimates are symmetric, translation-invariant, robust, and asymptotically normal. The author concludes by analyzing the asymptotic efficiencies of these estimates, comparing them to the estimates based on the vectors of means and medians. This book offers a valuable contribution to statistical theory and methodology, particularly for researchers and advanced students in multivariate analysis, nonparametric statistics, and related fields.

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