Gravitational lensing will magnify and demagnify high redshift type Ia supernovae. The dispersion in the peak magnitudes due to this effect approaches the size of the intrinsic dispersion at z ∼> 1. I propose a statistical method for measuring this effect. It is shown that the added dispersion is related to akP (k) which makes it sensitive to halo scale density structure smaller scale structure...

This work is about assessing model adequacy for negative binomial (NB) regression, particularly (1) assessing the adequacy of the NB assumption, and (2) assessing the appropriateness of models for NB dispersion parameters. Tools for the first are appropriate for NB regression generally; those for the second are primarily intended for RNA sequencing (RNA-Seq) data analysis. The typically small n...

Over-dispersed binary and count data occur frequently in many fields of application. Examples include occurrence of cavity in one or more teeth, and development of tumors In one or more animals of a litter. Methods of statistical analysis that ignore over-dispersion underestimate standard errors. Consequently, coverage proportions of confidence intervals and significance levels of tests are dis...

Nowadays, due to the availability of low-cost and high-resolution digital cameras, rapid growth user-friendly advanced image processing tools, challenges for ensuring authenticity images have been raised. Therefore, development reliable verification techniques has high importance in life. In this paper, we proposed a blind splicing detection method based on color distribution neighborhood edge ...

We analyze how increased use of electronic channels affects geographic price variance by enabling buyers to shift demand across locations. Using data from the wholesale automotive market from 2003 to 2008, we find that buyers use the reach of the electronic channels to shift purchases from high-price to low-price locations. This " arbitrage " reduces the variance of market prices, but not their...

We study the effect of third-order dispersion on the interaction between two solitons from different frequency channels in an optical fiber. The interaction may be viewed as an inelastic collision in which energy is lost to continuous radiation owing to nonzero third-order dispersion. We develop a perturbation theory with two small parameters: the third-order dispersion coefficient d3 and the r...

Although there have been several numerical studies on particle dispersion in mixing layers, most of them have been conducted for temporally evolving mixing layers. In this study, numerical simulations of a spatially developing mixing layer are performed to investigate particle dispersion under various conditions. The full compressible Navier–Stokes equations are solved with a high-order compact...

A widely-cited study investigating effects of recognition difficulty on the phonetic realization of words (Wright, 1997, 2004) described vowel dispersion in a subset of the Easy/Hard database (Torretta, 1995). The core finding was that vowel dispersion, i.e. distance from the center of the talker’s F1/F2 space, was greater in words that represent difficult recognition targets, due to competitio...

We consider fluctuations of defects density taking into account their interaction. Stochastic field of displacement generation rate gives random defect distribution. We determinate statistical characteristics (mean and dispersion) of random field of point defect distribution as function of defect generation parameters, temperature and properties of irradiated crystal. Keywords—Irradiation, Prim...