scholarly journals Testing Homogeneity for Normal Mixture Models: Variational Bayes Approach

2020 ◽  
Vol E103.A (11) ◽  
pp. 1274-1282
Author(s):  
Natsuki KARIYA ◽  
Sumio WATANABE
Keyword(s):  
Mixture Models ◽  
Variational Bayes ◽  
Normal Mixture ◽  
Testing Homogeneity ◽  
Normal Mixture Models ◽  
Bayes Approach

Root selection in normal mixture models

2012 ◽  
Vol 56 (8) ◽  
pp. 2454-2470 ◽  
Author(s):  
Byungtae Seo ◽  
Daeyoung Kim
Keyword(s):  
Mixture Models ◽  
Normal Mixture ◽  
Normal Mixture Models

Testing in normal mixture models when the proportions are known

Biometrika ◽  
1992 ◽  
Vol 79 (4) ◽  
pp. 842-846 ◽  
Author(s):  
BRUNO GOFFINET ◽  
PATRICE LOISEL ◽  
BEATRICE LAURENT
Keyword(s):  
Mixture Models ◽  
Normal Mixture ◽  
Normal Mixture Models

scholarly journals Bounds on Rényi and Shannon Entropies for Finite Mixtures of Multivariate Skew-Normal Distributions: Application to Swordfish (Xiphias gladius Linnaeus)

Entropy ◽  
2016 ◽  
Vol 18 (11) ◽  
pp. 382 ◽  
Author(s):  
Javier Contreras-Reyes ◽  
Daniel Cortés
Keyword(s):  
Mixture Models ◽  
Lower Bounds ◽  
Metric Spaces ◽  
Asymptotic Expression ◽  
Approximate Entropy ◽  
Upper And Lower Bounds ◽  
Normal Mixture ◽  
Normal Mixture Models ◽  
Xiphias Gladius ◽  
Skew Normal

Mixture models are in high demand for machine-learning analysis due to their computational tractability, and because they serve as a good approximation for continuous densities. Predominantly, entropy applications have been developed in the context of a mixture of normal densities. In this paper, we consider a novel class of skew-normal mixture models, whose components capture skewness due to their flexibility. We find upper and lower bounds for Shannon and Rényi entropies for this model. Using such a pair of bounds, a confidence interval for the approximate entropy value can be calculated. In addition, an asymptotic expression for Rényi entropy by Stirling’s approximation is given, and upper and lower bounds are reported using multinomial coefficients and some properties and inequalities of L p metric spaces. Simulation studies are then applied to a swordfish (Xiphias gladius Linnaeus) length dataset.

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