Journals Information
Universal Journal of Applied Mathematics Vol. 3(4), pp. 77 - 87
DOI: 10.13189/ujam.2015.030402
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Multivariate Logistic Mixtures
Xiao Liu *
TUM School of Education, and Centre for International Student Assessment, Arcisstrasse 21, 80333 Munich, Germany
ABSTRACT
Logistic mixtures, unlike normal mixtures, have not been studied for their topography. In this paper we discuss analogs of some of the multivariate normal mixture results for the multivariate logistic distribution. We focus on graphical techniques that are based on displaying the elevation of the density on the ridgeline. These techniques are quite elementary, and carry full information about the location and relative heights of the modes and saddle points. Moreover, we turn to a technique that names II-Plot which denotes that the first differentiation of the second component density ratios the difference between the first differentiations of the second component density and the first component density.
KEYWORDS
Logistic Mixture, Multivariate Mode, Ridgeline, Pi-Plot
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Xiao Liu , "Multivariate Logistic Mixtures," Universal Journal of Applied Mathematics, Vol. 3, No. 4, pp. 77 - 87, 2015. DOI: 10.13189/ujam.2015.030402.
(b). APA Format:
Xiao Liu (2015). Multivariate Logistic Mixtures. Universal Journal of Applied Mathematics, 3(4), 77 - 87. DOI: 10.13189/ujam.2015.030402.