In this article, I discuss the extent to which Kolmogorov drew upon von Mises’ work in addressing the problem as to why probability is applicable to events in the real world, which I refer to as the applicability problem. In particular, I highlight the role of randomness in Kolmogorov’s account, and I argue that this role differs significantly from the role that randomness plays in von Mises’ a...

A generalization of the von Mises distribution, which is broad enough to cover unimodality as well as multimodality, symmetry as well as asymmetry of circular data, has shown up in different contexts. We study this distribution in some detail here and discuss its many features, some inferential and computational aspects, and we provide some important results including characterization propertie...

We introduce the Unscented von Mises–Fisher Filter (UvMFF), a nonlinear filtering algorithm for dynamic state estimation on the n-dimensional unit hypersphere. Estimation problems on the unit hypersphere occur in computer vision, for example when using omnidirectional cameras, as well as in signal processing. As approaches in literature are limited to very simple system and measurement models, ...

In this paper, the UG software is used to draw three dimensional diagram of key parts thermal balance lifting platform whole vehicle, and ANSYS also simulate Von-Mises stress on connecting plate. The structure column optimized, stress-strain relationship between time strain are obtained. results show that design reasonable meet needs production.

Motivated by applications to goodness of fit degenerate U-statistics testing, the Jackknife empirical likelihood approach for U-statistics is generalized to degenerate U-statistics. The proposed empirical likelihood based goodness of fit tests are asymptotically distribution free. The asymptotic theory for testing shift of location, spatial depth testing for central symmetry, Cramér-von Mises t...

Elastic recovery of the material, called springback, is one of the problems in sheet metal forming of drawpieces, especially with a complex shape. The springback can be influenced by various technological, geometrical, and material parameters. In this paper the results of experimental testing and numerical study are presented. The experiments are conducted on DC04 steel sheets, commonly used in...

Circular data are commonly encountered in the earth sciences and statistical descriptions and inferences about such data are necessary in structural geology. In this paper we compare two statistical distributions appropriate for complex circular data sets: the mixture of von Mises and the projected normal distribution. We show how the number of components in a mixture of von Mises distribution ...

Penalizing the model complexity is necessary to avoid overfitting when the number of data samples is low with respect to the number of model parameters. In this paper, we introduce a penalization term that places an independent prior distribution for each parameter of the multivariate von Mises distribution. We also propose a circular distance that can be used to estimate the Kullback–Leibler d...

AIM To reduce post treatments of kyphoplasty, as a common treatment for osteoporotic vertebrae. METHODS This study suggests a new method for treating vertebrae by setting the hexagonal porous structure instead of the rigid bone cement mass in the kyphoplasty (KP). The KP procedure was performed on the fresh ovine vertebra of the level L1. Micro finite element modeling was performed based on m...