A topological space X is called βκ-normal if for every pair of disjoint regularly closed sets and B, there exist open U V such that = A, B ∩ ∅. In this paper, we investigated a weaker form normality βκ-normality which simultaneous generalization normality, κ-normality almost β-normality. Some new decomposition obtained in terms weakly β-normal spaces.

This study focuses on signs, meanings, and practices related to mental normality and health in a northern coastal area of Bahia, Brazil. It discusses local conceptions about the non-existence or exclusive existence of mental normality, as well as points of view concerning total mental normality. It identifies the prototypes of normality, like "normal", "almost normal", and "false normal", as si...

2 Summary The classical multivariate data analysis has been based largely on a multivariate normal distribution assumption. Therefore almost all of the work was concentrated on just location and dispersion parameters, with relatively little attention to questions of high-order characteristics. For characterization of multivariate distribution, its moments are very expressive. This fact was used...

We prove that all random sequences (in Chaitin-Martin-Lof sense) and almost all random strings (in both Kolmogorov-Chaitin and Chaitin senses) satisfy various conditions of normality ( rst introduced by Borel). All proofs are constructive.

Classification of highly nonlinear Boolean power functions with a randomised algorithm for checking normality, 2004. [6] Kelley Burgin, The nonexistence of a bijective almost perfect nonlinear function of order 16, Master's thesis,

With each topological property P one can associate a relative version of it formulated in terms the location Y X such natural way that when coincides with X, then this P. Arhangel?skii and Genedi introduced concept properties 1989. The mild normality or ?-normality was independently by Singal 1973 Scepin 1972. A few years earlier 1969, Arya studied almost normality. V. Za?cev 1968 quasi normal ...

A wide literature is available on the asymptotic behavior of the Durbin-Watson statistic for autoregressive models. However, it is impossible to find results on the Durbin-Watson statistic for autoregressive models with adaptive control. Our purpose is to fill the gap by establishing the asymptotic behavior of the Durbin Watson statistic for ARX models in adaptive tracking. On the one hand, we ...

Asymptotic behavior of qualitative variation statistics, including entropy measures, can be modeled well by normal distributions. In this study, we test the normality of various qualitative variation measures in general. We find that almost all indices tend to normality as the sample size increases, and they are highly correlated. However, for all of these qualitative variation statistics, maxi...

The paper studies large sample theory of estimators of the error distribution for the semipara metric model Y X g T Under appropriate conditions we prove that the estimators converge in probability almost surely converge and uniformly almost surely converge Asymp totic normality and the rates of convergence of the estimators are also investigated Finally we establish the law of the iterated log...