In this paper, we seek to examine the effect of the presence of long memory on the dependence structure between financial returns and on portfolio optimization. First, we focus on the dependence structure using copulas. To select the best copula, in addition to the goodness of fit tests, we employ a graphical method based on visual comparison of the fitted copula density and the smoothed copula...

We study Monge’s optimal transportation problem, where the cost is given by optimal control cost. We prove the existence and uniqueness of an optimal map under certain regularity conditions on the Lagrangian, absolute continuity of the measures with respect to Lebesgue, and most importantly the absence of sharp abnormal minimizers. In particular, this result is applicable in the case of subriem...

introduction: fractures of the orbital floor, which are caused by various mechanisms, result in the herniation of periorbital tissue into the paranasal sinuses and its subsequent complications. early diagnosis using various techniques and reduction of fractures are necessary to preserve ocular function and esthetic. use of an endoscope has been associated with some advantages, including a decre...