Groups with Certain Normality Conditions

Finite Groups With a Certain Number of Elements Pairwise Generating a Non-Nilpotent Subgroup

Asymptotic theory for a factor GARCH model

This paper investigates the asymptotic theory for a factor GARCH model. Sufficient conditions for strict stationarity, existence of certain moments, geometric ergodicity and βmixing with exponential decay rates are established. These conditions allow for volatility spill-over and integrated GARCH. We then show the strong consistency and asymptotic normality of the quasi-maximum likelihood estim...

Detecting assumption violations in mixed-model analysis of variance.

Parametric analysis of variance (ANOVA) is frequently used to analyse experimental data, yet for the results to be considered as accurate, certain assumptions must be respected: the normality of the distribution of the sampled data, the homogeneity of variance among the groups being compared (i.e., homoscedasticity), and, in certain cases, sphericity. The present work focuses on the methods for...

A normality criterion corresponding to the defect relations

Let F be a family of meromorphic functions on a domain D. We present a quite general sufficient condition for F to be a normal family. This criterion contains many known results as special cases. The overall idea is that certain comparatively weak conditions on F locally lead to somewhat stronger conditions, which in turn lead to even stronger conditions on the limit function g in the famous Za...

Note on Normality in Qijasi-groups

An interesting problem in the theory of quasi-groups is to determine how strong an associative law must be assumed in order to obtain a theory of normal subquasi-groups similar to that of ordinary groups. The properties of normal subgroups which it is desirable to retain in the non-associative case are, first, that they form a Dedekind structure, and second, that each one gives rise to a quotie...