Bass's first stable range condition

A Robust Distributed Estimation Algorithm under Alpha-Stable Noise Condition

Robust adaptive estimation of unknown parameter has been an important issue in recent years for reliable operation in the distributed networks. The conventional adaptive estimation algorithms that rely on mean square error (MSE) criterion exhibit good performance in the presence of Gaussian noise, but their performance drastically decreases under impulsive noise. In this paper, we propose a rob...

First-Order Condition

Stable First Order

We propose a novel first order, local equilibrium approach to special relativistic dissipative hydrodynamics. Using a particular separation of internal and flow energies we remove all known instabilities of the linear response approximation. This result provides a stable inclusion of heat conductivity into the description of first order viscous relativistic fluids.

Unit 1-stable range for ideals

Let R be a ring with identity 1. We say that R satisfies unit 1-stable range in case ax+b = 1 with a,x,b ∈ R implying that a+bu ∈ U(R). Many authors studied unit 1-stable range such as those of [1, 2, 3, 4, 5, 6]. Following the authors, a ring R satisfies unit 1-stable range for an ideal I provided that ax+b = 1 with a∈ I, x,b ∈ R implying that x+ub ∈U(R) for some unit u∈U(R). Let R = Z/2Z⊕Z/3Z...

Bidimensional -stable Models with Long-range Dependence

In this paper, we propose an -stable 2D extension of the 1D fractional Gaussian noise. The considered model exhibits long-range dependence properties, while its stability index allows us to control the degree of spikyness of the synthesized fields. A least square method for the estimation of the three parameters of this model is also described and its performances are evaluated by a Monte Carlo...