The uniformly minimum variance unbiased (UMVU), maximum likelihood, percentile (PC), least squares (LS) and weighted least squares (WLS) estimators of the probability density function (pdf) and cumulative distribution function are derived for the generalized Rayleigh distribution. This model can be used quite effectively in modelling strength data and also modeling general lifetime data. It has...

—A frequent problem in digital communications is the computation of the probability density function (pdf) and cumulative distribution function (cdf), given the characteristic function (chf) of a random variable (RV). This problem arises in signal detection , equalizer performance, equal-gain diversity combining, in-tersymbol interference, and elsewhere. Often, it is impossible to analytically ...

We present a linear algorithm for the computation of the illuminant change occurring between two color pictures of a scene. We model the light variations with the von Kries diagonal transform and we estimate it by minimizing a dissimilarity measure between the piecewise inversions of the cumulative color histograms of the considered images. We also propose a method for illuminant invariant imag...

For a component or a system subject to stochastic degradation with sporadic jumps that occur at random times and have random sizes, we propose to model the cumulative degradation with random jumps using a single stochastic process based on the characteristics of Lévy subordinators, the class of non-decreasing Lévy processes. Based on an inverse Fourier transform, we derive a new closed-form rel...

This paper proposes an approach to speed up seismic forward modeling when the Green’s function of a given model is structured in the sense that the Green’s function has a sparse representation in some known transform domain. The first step of our approach runs a forward finite-difference (FD) simulation for a duration longer than each conventional run, but with all sources activated simultaneou...

We present a new method to compute the energy Green’s function with absorbing boundary conditions for use in the calculation of quantum mechanical reaction probabilities. This is an iterative technique to compute the inverse of a complex matrix which is based on Fourier transforming time-dependent dynamics. The Hamiltonian is evaluated in a sine-function based discrete variable representation, ...

Visual deformations of moving objects are traditionally attributed to visual mechanisms, such as spatiotemporal summation and visual masking, that transform the distribution of color/brightness in visual space. This paper presents experimental proof that in addition to these distributional transformations, the metric of visual space itself changes in visual motion, Under steady fixation conditi...