Spherical distributions, including the von Mises-Fisher density, have received a great attention in literature because of their usefulness to model circular data lying on unit sphere. However, there is paucity research proposing spherical densities possing multimode tuned with single parameter. To fill this gap, we extend distribution construct new density. Moreover, some important statistical ...

INTRODUCTION: Transforaminal lumbar interbody fusion (TLIF) with transpedicle screw (TPS) fixation was accepted as a minimally invasive surgery to treat degenerative disc disease for decompression and maintaining stability. According to previous researches, spinal fusion using bilateral TPS (BTPS) fixation with single or paired cages could sufficiently maintain vertebral stabilities, but the un...

The centennial of the publication first German edition Ludwig von Mises’s Theory Money and Credit offers an excellent opportunity to reconsider a long-standing controversy within modern Austrian economics. This revolves around question whether Mises favored 100-percent gold reserve banking imposed by law or free based on as ideal monetary system. In this paper, I suggest that debate is fundamen...

Geometric and stochastic representations are derived for the big class of p-generalized elliptically contoured distributions, and (generalizing Cavalieri?s and Torricelli?s method of indivisibles in a non-Euclidean sense) a geometric disintegration method is established for deriving even more general star-shaped distributions. Applications to constructing non-concentric elliptically contoured a...

For quantitative randomized response models, optimal unbiased estimation of regular functionals of distribution functions is considered. In this context, distribution theory of Hoeffding's U-statistics and von Mises' differentiable statistical functions is extended to randomized response models. Estimation of the basic distributions is also considered.

Random outcomes, in ordinary parlance, are those that occur haphazardly, unpredictably, or by chance. Even without further clarification, these glosses suggest an interesting connection between randomness and probability, in some of its guises. But we need to be more precise to articulate the relationship between the two subjects of our title. There is a large literature distinguishing kinds an...

This paper investigates the forming of sheet metal forming under cycling loading by considering the Bauschinger effect. Different proposed plasticity models which can handle this kind of deformation process have been reviewed in details. For instance, isotropic, kinematic and combined forms in the linear and non-linear cases including the well-known Yoshida and Chaboche's models have been studi...