let $g$ be a simple connected graph. the edge-wiener index $w_e(g)$ is the sum of all distances between edges in $g$, whereas the hyper edge-wiener index $ww_e(g)$ is defined as {footnotesize $w{w_e}(g) = {frac{1}{2}}{w_e}(g) + {frac{1}{2}} {w_e^{2}}(g)$}, where {footnotesize $ {w_e^{2}}(g)=sumlimits_{left{ {f,g} right}subseteq e(g)} {d_e^2(f,g)}$}. in this paper, we present explicit formula fo...

‎let $g=(v(g),e(g))$ be a simple connected graph with vertex set $v(g)$ and edge‎ ‎set $e(g)$‎. ‎the (first) edge-hyper wiener index of the graph $g$ is defined as‎: ‎$$ww_{e}(g)=sum_{{f,g}subseteq e(g)}(d_{e}(f,g|g)+d_{e}^{2}(f,g|g))=frac{1}{2}sum_{fin e(g)}(d_{e}(f|g)+d^{2}_{e}(f|g)),$$‎ ‎where $d_{e}(f,g|g)$ denotes the distance between the edges $f=xy$ and $g=uv$ in $e(g)$ and $d_{e}(f|g)=s...

The aim of this paper is to investigate the effect of noises on performance of speech signal de-noising using the method based on wavelets, wiener filtering and ICA. Determination of voiced and unvoiced speech, low and high pitch, and methods for selecting appropriate wavelets for speech compression are discussed. Discrete wavelet transform (DWT) has been applied for suppression of additive noi...

We consider the stochastic equation X(t) = W(t) + βlX0(t), where W is a standard Wiener process and lX0(⋅) is the local time at zero of the unknown process X. There is a unique solution X (and it is adapted to the fields of W) if |β| ≤ 1, but no solutions exist if |β| > 1. In the former case, setting α = (β + 1)/2, the unique solution X is distributed as a skew Brownian motion with parameter α....

This paper proposes two techniques for the enhancement of the performance of the Linear Minimum Mean Square Error (LMMSE) or Wiener restoration algorithm. The first approach relies on adaptively merging the Wiener restoration algorithm with a regularized restoration algorithm that is implemented iteratively. The merging process allows the capturing of edges regions from the Wiener restoration r...

Accelerated degradation testing (ADT) is an efficient technique for evaluating the lifetime of a highly reliable product whose underlying failure process may be traced by the degradation of the product's performance parameters with time. However, most research on ADT mainly focuses on a single performance parameter. In reality, the performance of a modern product is usually characterized by mul...

The Wiener index is a graph invariant that has found extensive application in chemistry. In addition to that a generating function, which was called the Wiener polynomial, who’s derivate is a q-analog of the Wiener index was defined. In an article, Sagan, Yeh and Zhang in [The Wiener Polynomial of a graph, Int. J. Quantun Chem., 60 (1996), 959969] attained what graph operations do to the Wiene...

In the present paper, the classical Brownian motion of a particle suspended in an homogeneous liquid is modeled as a piecewise–deterministic Markov process with state space inculding position as well as velocity of the particle in motion. This model is less idealized than the classical Wiener or Ornstein–Uhlenbeck processes. It leads to more complex expressions for the transition densities, but...

We are interested in the functional convergence in distribution of the process of quadratic variations taken along a regular partition for a large class of Gaussian processes indexed by 0; 1], including the standard Wiener process as a particular case. This result is applied to the estimation of a time deformation that makes a non-stationary Gaussian process stationary.