We establish the rate of growth of the length of long strange intervals in an innnite moving average process whose coeecients are regularly varying at innnity. We compute the limiting distribution of the appropriately normalized length of such intervals. The rate of growth of the length of long strange intervals turns out to change dramatically once the exponent of regular variation of the coee...

A bstract A controlled M /G /1 type queueing system with a setup time for switching of the service distribution is considered. At first, customers are served by a regular service time. When the number of customers in the system exceeds rn, the service time is switched to a high speed service time with a setup time. High speed services continue until the end of the busy period. We propose a simp...

INTRODUCTION Comparison of platform switched (PS), sloping shoulder, and regular implants on stress reduction in various bone densities with finite element analysis. MATERIALS AND METHODS A total of 12 three-dimensional finite element models were built to analyze the stress distribution model. Nobel Biocare 4.3 × 8 mm regular platform replace select implant with matching diameter easy abutmen...

We consider the distribution of cycle counts in a random regular graph, which is closely linked to the graph’s spectral properties. We broaden the asymptotic regime in which the cycle counts are known to be approximately Poisson, and we give an explicit bound in total variation distance for the approximation. Using this result, we calculate limiting distributions of linear eigenvalue statistics...

In this report, the explicit probability density functions of the random Euclidean distances associated with regular hexagons are given, when the two endpoints of a link are randomly distributed in the same hexagon, and two adjacent hexagons sharing a side, respectively. Simulation results show the accuracy of the obtained closed-form distance distribution functions, which are important in a wi...

In this paper, we analyze the evolution of a small-world network and its subsequent transformation to a random network using the idea of link rewiring under the well-known Watts-Strogatz model for complex networks. Every link u-v in the regular network is considered for rewiring with a certain probability and if chosen for rewiring, the link u-v is removed from the network and the node u is con...

In this paper, finite element method is used to obtain thermal conductivity coefficients of single-walled carbon nanotube reinforced polypropylene. For this purpose, the two-dimensional representative volume elements are modeled. The effect of different parameters such as nanotube dispersion pattern, nanotube volume percentage in polymer matrix, interphase thickness between nanotube and surroun...

We study the magnetization distribution of the Ising model on two regular fractals (a hierarchical lattice, the regular simplex) and percolation clusters at the percolation threshold in a two dimensional imbedding space. In all these cases, the only fixed point is T = 0. In the case of the two regular fractals, we show that the magnetization distribution is non trivial below T ∗ ≃ A/n, with n t...