Many popular circular distributions, including the most commonly used von Mises distribution, are typically symmetric around a modal direction. To enlarge this class, the authors recently discussed families of skew-symmetric distributions, applying this idea to the von Mises model as an important special case. This paper explores further properties of these skew-symmetric families and their mom...

objectives : this finite element method study aimed to compare the amount of stress on an isolated mandibular second premolar in two conventional reciprocal parallel interface designs of removable partial dentures (rpds) and the same rpd abutment tooth (not isolated). materials and methods: a kennedy class 1, modification 1 rpd framework was simulated on a 3d model of mandible with three differ...

We find that the classical failure criteria, i.e., maximum normal stress criterion, Tresca criterion, Mohr-Coulomb criterion, and von Mises criterion, cannot satisfactorily explain the tensile fracture behavior of the bulk metallic glass (BMG) materials. For a better description, we propose an ellipse criterion as a new failure criterion to unify the four classical criteria above and apply it t...

The purpose of this paper is to introduce a new estimation method for estimating the Archimedean copula dependence parameter in the non-parametric setting. The estimation of the dependence parameter has been selected as the value that minimizes the Cramér-von-Mises distance which measures the distance between Empirical Bernstein Kendall distribution function and true Kendall distribution functi...

Most of the tractable distributions currently available for modeling circular data are symmetric around a modal direction, prominent among them the von Mises distribution. Here we discuss a method of introducing asymmetry into any such symmetric circular model and develop general classes of non-symmetric circular distributions. In particular, we introduce and study a resulting variation of the ...

This paper proposes a suite of models for clustering high-dimensional data on a unit sphere based on von Mises-Fisher (vMF) distribution and for discovering more intuitive clusters than existing approaches. The proposed models include a) A Bayesian formulation of vMF mixture that enables information sharing among clusters, b) a Hierarchical vMF mixture that provides multiscale shrinkage and tre...

Finite mixtures of von Mises-Fisher distributions allow to apply model-based clustering methods to data which is of standardized length, i.e., all data points lie on the unit sphere. The R package movMF contains functionality to draw samples from finite mixtures of von Mises-Fisher distributions and to fit these models using the expectation-maximization algorithm for maximum likelihood estimati...

The paper presents a complete analysis of the probabilistic structure for the von Mises stress. Von Mises stresses are a nonlinear function of the stress vector components, so the form of their probability distribution is not known a priori. The resulting probability distribution is not gaussian, nor it is centered about zero, even when the stress vector components are gaussian with zero mean. ...