In this paper, free vibration analysis of orthotropic functionally graded material (FGM) cylinders was carried out by a Mesh-Free method. In this analysis, moving least squares shape functions are used for approximation of displacement field in the weak form of equilibrium equation. Essential boundary conditions are imposed by transformation method. In this simulation, an axisymmetric model is ...

Mixture Model Averaging for Clustering Yuhong Wei University of Guelph, 2012 Advisor: Dr. Paul D. McNicholas Model-based clustering is based on a finite mixture of distributions, where each mixture component corresponds to a different group, cluster, subpopulation, or part thereof. Gaussian mixture distributions are most often used. Criteria commonly used in choosing the number of components in...

~~ Reader BYUNG sao KIM. Studies of Multinomial Mixture Models (Under the direction of Barry H. Margolin) We investigate certain inferential aspects of mixtures of multi-nomial distributions, both in nonparametric and parametric contexts. As a nonparametric mixture model we propose a k-population finite mixture of binomial distributions, which can be applied to the analysis of non-iid data gene...

Normal mixture distributions are arguably the most important mixture models, and also the most technically challenging. The likelihood function of the normal mixture model is unbounded based on a set of random samples, unless an artificial bound is placed on its component variance parameter. Moreover, the model is not strongly identifiable so it is hard to differentiate between over dispersion ...

Various techniques have been proposed in the literature to account for observed and unobserved heterogeneity crash dataset. Those include such as finite mixture model (FMM), or hierarchical techniques. The FMM could provide a flexible framework by providing various distributions individual observations. However, shortcoming of standard is that it cannot single model’s structure, data needs be d...

One of the greatest challenges in application finite mixture models is model comparison. A variety statistical fit indices exist, including information criteria, approximate likelihood ratio tests, and resampling techniques; however, none these describe amount improvement when a latent class added to model. We review statistics propose novel approach, increment percentage per parameter ( LIPpp ...