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3 results for “Partial Symmetry”
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Research ArticleOpen accessPhrase in the titleMeasure of Departure from Partial Symmetry for Square Contingency TablesYusuke Saigusa, Kouji Tahata, Sadao TomizawaFor square contingency tables, the present paper newly considers the partial symmetry model which indicates that there is a symmetric structure of probabilities for at least one of pairs of symmetric cells. It also proposes the measure to express the degree of departure from the partial symmetry model. Examples are given. …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 9 Aug 2016 · 7,416 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleMeasure of Departure from Conditional Partial Symmetry for Square Contingency TablesYusuke Saigusa, Nobuki Fukumoto, Tomoyuki Nakagawa, Sadao TomizawaFor square contingency tables, asymmetry of conditional probability in part of the off-diagonal cells isconsidered with respect to the main diagonal. A measure is proposed torepresent the degree of departure from the symmetric structure and gives theapproximate confidence interval. Some numerical experiments are performed toillustrate the validity and usefulness of the proposed measure. Japaneseoccupational data are analyzed using the measure. …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 4 Oct 2022 · 5,561 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Variational Symmetries of P.D.E's Incorporating Boundary Value ConstraintsUchechukwu Michael Opara, Festus Irimisose Arunaye et al.A crucial interface between Optimization theory, Trace theory, and Lie Symmetry theory is brought to the fore in this paper, as an enhancement of standard known results established in Partial Differential Equation (P.D.E) analysis. In particular, the incorporation of compatible Boundary Value constraints in the re-assessment of admitted variational symmetries is a key process in the development of the discussions … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 22 Jan 2025 · 8,433 accessesView PDFCite