Matrix differential calculus with applications in the multivariate linear model and its diagnostics

Shuangzhe Liu, Víctor Leiva, Dan Zhuang, Tiefeng Ma, Jorge I. Figueroa-Zúñiga

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Matrix differential calculus is a powerful mathematical tool in multivariate analysis and related areas such as econometrics, environmetrics, geostatistics, predictive modeling, psychometrics, and statistics in general. One of the key contributions to its development was the introduction of the differential approach, which has led to a significant number of applications. In this paper, we present a study of this approach to matrix differential calculus with some of its key results along with illustrative examples. We also present new applications of this approach in the multivariate linear model: namely in efficiency comparisons, sensitivity analysis, and local influence diagnostics.

Original languageEnglish
Article number104849
Pages (from-to)1-13
Number of pages13
JournalJournal of Multivariate Analysis
Volume188
DOIs
Publication statusPublished - Mar 2022

Fingerprint

Dive into the research topics of 'Matrix differential calculus with applications in the multivariate linear model and its diagnostics'. Together they form a unique fingerprint.

Cite this