Grey theory is an essential uncertain knowledge acquisition method for small sample, poor information. The classic grey theory does not adequately take into account the distribution of data set and lacks the effective methods to analyze and mine big sample in multigranularity. In view of the universality of the normal distribution, the normality grey number is proposed. Then, the corresponding ...

The multivariate extremal index function relates the asymptotic distribution of the vector of pointwise maxima of a multivariate stationary sequence to that of the independent sequence from the same stationary distribution. It also measures the degree of clustering of extremes in the multivariate process. In this paper, we construct nonparametric estimators of this function and prove their asym...

statistical errors are common in scientific literature and about 50% of the published articles have at least one error. the assumption of normality needs to be checked for many statistical procedures, namely parametric tests, because their validity depends on it. the aim of this commentary is to overview checking for normality in statistical analysis using spss.

For a graph representation of a dataset, a straightforward normality measure for a sample can be its graph degree. Considering a weighted graph, degree of a sample corresponds to sum the corresponding row’s values in a similarity matrix. The measure is intuitive given the abnormal samples are usually rare and they are dissimilar to the rest of the data. In order to have an in-depth theoretical ...

In this paper, I will investigate the potential of what term Merleau-Ponty’s ‘situated phenomenology’ for an investigation normality from within and without. First, argue that concept situation in Phenomenology Perception demarcates turn a mere epistemological to concrete critical phenomenology. Second, apply as being situated normality. doing so, endeavor differentiate between lived represente...

A topological space X is C-κ-normal (C-mildly normal ) if there exist a κ-normal (mildly normal) Y and bijective function f : → such that the restriction f|A A→ f(A) homeomorphism for each compact subspace ⊆ X. We present new results about those two properties use discrete extension to solve open problems regarding C2-paracompactness α-normality

This paper studies design schemes for the X control chart under non-normality. Different estimators of the standard deviation are considered and the effect of the estimator on the performance of the control chart under non-normality is investigated. Two situations are distinguished. In the first situation, the effect of non-normality on the X control chart is investigated by using the control l...

We describe the tangent space to the parameter variety of all artin level quotients of a polynomial ring in n variables having specified socle degree and type. When n = 2, we relate this variety to the family of secants of the rational normal curve. With additional numerical hypotheses, we prove a projective normality theorem for the parameter variety in its natural Plücker embedding. AMS subje...