A BRIEF SURVEY OF ASYMMETRIC MDS AND SOME OPEN PROBLEMS

Naohito Chino

doi:10.2333/bhmk.39.127

Behaviormetrika

Online ISSN : 1349-6964
Print ISSN : 0385-7417
ISSN-L : 0385-7417

Articles

A BRIEF SURVEY OF ASYMMETRIC MDS AND SOME OPEN PROBLEMS

Naohito Chino

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Keywords: asymmetric MDS, Bayesian inference, Chino-Shiraiwa theorem, circular hierarchy, Hilbert space, multiple-judgment sampling, tensor, tests for symmetry, maximum likelihood, Young-Householder theorem

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2012 Volume 39 Issue 1 Pages 127-165

DOI https://doi.org/10.2333/bhmk.39.127

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Abstract

A brief review is made of a body of extant asymmetric MDS models and methods, given a one-mode, two-way asymmetric square relational data matrix whose elements are similarity or dissimilarity measures between objects, or a special two-mode, three-way asymmetric relational data matrix which is composed of one-mode, two-way asymmetric square relational data matrices, and several open problems are discussed.

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