The next generation of galaxy surveys will provide highly accurate measurements the large-scale structure Universe, allowing for more stringent tests gravity on cosmological scales. Higher order statistics are a valuable tool to study non-Gaussianities in matter field and break degeneracies between modified other physical or nuisance parameters. However, understanding from first principles beha...

N -point correlation numbers in minimal Liouville gravity have been studied. It has demonstrated how to use Al. Zamolodchikov’s higher equations of motion field theory explicitly calculate these numbers. An explicit expression obtained for the case = 5.

Independent component analysis (ICA) has been shown as a promising tool for the analysis of functional magnetic resonance imaging (fMRI) time series. Each of these studies, however, used a general-purpose algorithm for performing ICA and the computational efficiency and accuracy of elicited neuronal activations have not been discussed in much detail. We have previously proposed a direct search ...

Scatterplots have been in use for about two centuries, primarily for observing the relationship between two variables and commonly for supporting correlation analysis. In this paper, we report an empirical study that examines how humans’ perception of correlation using scatterplots relates to the Pearson’s product-moment correlation coefficient (PPMCC) – a commonly used statistical measure of c...

In this paper, we consider an iteration process for approximating common fixed points of two asymptotically quasinonexpansive mappings and we prove some strong and weak convergence theorems for such mappings in uniformly convex Banach spaces. Keywords—Asypmtotically quasi-nonexpansive mappings, Common fixed point, Strong and weak convergence, Iteration process.

Assuming a first-order auto-regressive model for the auto-correlation structure between observations, in this paper, a transformation method is first employed to eliminate the effect of auto-correlation. Then, a maximum likelihood estimator (MLE) of a step change in the parameters of the transformed model is derived and three separate EWMA control charts are used to monitor the parameters of th...