The di erential geometry of autoregressive fractionally integrated moving average processes is developed. Properties of Toeplitz forms associated with the spectral density functions of these long memory processes are used to compute the geometric quantities. The role of these geometric quantities on the asymptotic bias of the maximum likelihood estimates of the model parameters and on the Bartl...

Words satisfying the restricted growth property wk ≤ 1 + max{w0, . . . , wk−1} are in correspondence with set partitions. Underlying the geometric distribution to the letters, these words are enumerated with respect to the largest letter occurring, which corresponds to the number of blocks in the set partition. It turns out that on average, this parameter behaves like log1/q n, where q is the p...

The concept of a geometric phase (Berry's phase) is generalized to the case of noneigenstates, which is applicable to both linear and nonlinear quantum systems. This is particularly important to nonlinear quantum systems, where, due to the lack of the superposition principle, the adiabatic evolution of a general state cannot be described in terms of eigenstates. For linear quantum systems, our ...

Recently, a wealth of algorithms for the efficient coding of 3D triangle meshes have been published (e.g. [1,2,4,5,6,7,8]). All these focus on achieving the most compact code for the connectivity data, resulting in between 0.7 and 2 bits per triangle on the average. The geometric data, i.e. the vertex coordinates, are then coded in an order induced by the connectivity code, which is probably no...

Accurate location information is essential for many wireless sensor network (WSN) applications. A location-aware WSN generally includes two types of nodes: sensors whose locations to be determined and anchors whose locations are known a priori. For range-based localization, sensors’ locations are deduced from anchor-to-sensor and sensor-to-sensor range measurements. Localization accuracy depend...

A generalization of the exponentiated Weibull geometric model called the transmuted exponentiated Weibull geometric distribution is proposed and studied. It includes as special cases at least ten models. Some of its structural properties including order statistics, explicit expressions for the ordinary and incomplete moments and generating function are derived. The estimation of the model param...

in order to quantify of schooling behavioral responses of rosy barb (puntius barbus) subjected to acute decreasing temperature stress monitored by computer- vision system. four aquaria as duplicate with a density of 30 fish per unit were used for rearing of fish in normal and stress conditions. some geometric schooling parameters such as average location of center gravity school and distance of...

An average structure associated with a given quasilattice is a system composed of several average lattices that in reciprocal space produces strong main reflections. The average lattice of a quasicrystal is a useful concept closely related to the geometric description of the quasicrystal to crystal transformation and has been proved to be structurally significant. Here we calculate average stru...

The depth average module of NASIR finite volume solver was applied to study the tide induced currents in Khowr-e-Musa estuary. The model computes water level variation and velocity components in horizontal plane solving depth average continuity and momentum equations considering the hydrostatic pressure distribution. The software takes into account the bed and wall geometric complexities and re...