Untangling the complexity of market competition in consumer goods-A complex Hilbert PCA analysis.

ABSTRACT: Today's consumer goods markets are rapidly evolving with significant growth in the number of information media as well as the number of competitive products. In this environment, obtaining a quantitative grasp of heterogeneous interactions of firms and customers, which have attracted interest of management scientists and economists, requires the analysis of extremely high-dimensional data. Existing approaches in quantitative research could not handle such data without any reliable prior knowledge nor strong assumptions. Alternatively, we propose a novel method called complex Hilbert principal component analysis (CHPCA) and construct a synchronization network using Hodge decomposition. CHPCA enables us to extract significant comovements with a time lead/delay in the data, and Hodge decompos

SUBMITTER: Mizuno M 

PROVIDER: S-EPMC7857567 | biostudies-literature | 2021

REPOSITORIES: biostudies-literature