We consider maximum likelihood estimation of finite mixture of uniform distributions. We prove that maximum likelihood estimator is strongly consistent, if the scale parameters of the component uniform distributions are restricted from below by exp(−nd), 0 < d < 1, where n is the sample size.

The problem of the sample variance computation for epistemic inter-val-valued data is, in general, NP-hard. Therefore, known efficient algorithms for computing variance require strong restrictions on admissible intervals like the no-subset property or heavy limitations on the number of possible intersections between intervals. A new asymptotic algorithm for computing the upper bound of the samp...

Introduction: Long bone examination in standing position, as one of the diagnostic methods in plain radiography, is most commonly used in the field of medical diagnosis, especially leg length discrepancy. However, with regard to this examination, reproductive organs are exposed to radiation as they are placed in the adjacent area to the long bone. Due to the sensitivit...

We study cooperation structures with the following property: Given any two feasible coalitions with non-empty intersection, its union is a feasible coalition again. These combinatorial structures have a direct relationship with graph communication situations and conference structures à la Myerson. Characterizations of the Myerson value in this context are provided using the concept of basis for...

Introduction: Today, medical tourism is becoming popularized through the upgrading of quality standards essential to providing appropriate and high quality services to those in need. Training is an essential factor in improving the current standards. Medical tourism can provide state-of-the-art treatment for patients. Methods: This study is a narrative re...

Introduction: Glioblastoma multiforme (GBM) is a highly radioresistant cancer with low survival rate. Current therapy approaches have failed to treat GBM. The aim of this study was to assess how GBM tumors respond to combination of hyperthermia and radiotherapy. Materials and Methods:   In this study, 38 GBM patients were included. 19 patients were treated ...

Introduction: The use of a simple tissue analog material in the fabrication of medical computed tomography (CT) imaging phantoms has great potential to help researchers. The purpose of the present study is to develop new gel tissue-equivalent materials and determine whether their CT numbers and relative electron densities vary in CT images obtained by scans at different energie...

We consider the problem of non-preemptively scheduling periodic and sporadic task systems on one processor using inserted idle times. For periodic task systems, we prove that the decision problem of determining whether a periodic task system is schedulable for all start times with respect to the class of algorithms using inserted idle times is NP-Hard in the strong sense, even when the deadline...

Finding a pivot rule for the simplex method that is strongly polynomial is an open question. In fact, the shortest length of simplex pivots from any feasible basis to some optimal basis is not known to be polynomially bounded. An admissible pivot is a common generalization of simplex and dual simplex pivots, and there are various admissible pivot methods that are nite, including the least-index...