Playing with conflict: a longitudinal study of varieties of spontaneous verbal conflict during mother-child interaction at home

Although conflict is central to major developmental theories, relatively little is known about the ways in which young children and caregivers argue at home. The existing psychological research focuses narrowly on serious, ‘problem-solving’ conflicts. In contrast, this in-depth longitudinal study describes varieties of spontaneous conflict talk occurring at home between nine middle-class Caucasian American mothers and their 2- to 4-year-old children. All dyads produced conflicts with nonse-rious, imaginary and/or ritual markings for a mean of 31% (± 2.8%) of all mother-child conflicts. Overall, most mother-child marked conflicts were nonserious, but the percentage of marked conflicts that were imaginary increased with age. Mothers used marked conflicts to manage ongoing problematic interactions with their children, while children apparently introduced marked conflicts primarily during play. Available data on child-child conflicts showed that some of these conflicts also were marked and were introduced primarily during play. Implications for how varieties of conflict may contribute to social competence within the family and peer group are discussed.     

Skew generalized extreme value distribution: Probability-weighted moments estimation and application to block maxima procedure

ABSTRACT

Following the work of Azzalini (1985 Azzalini, A. (1985). A class of distributions which includes the normal ones. Scand. J. Stat. 12:171–178.[Web of Science ®] , [Google Scholar] and 1986 Azzalini, A. (1986). Further results on a class of distributions which includes the normal ones. Statistica 46:199–208. [Google Scholar]) on the skew-normal distribution, we propose an extension of the generalized extreme value (GEV) distribution, the SGEV. This new distribution allows for a better fit of maxima and can be interpreted as both the distribution of maxima when maxima are taken on dependent data and when maxima are taken over a random block size. We propose to estimate the parameters of the SGEV distribution via the probability-weighted moment method. A simulation study is presented to provide an application of the SGEV on block maxima procedure and return level estimation. The proposed method is also implemented on a real-life data.     

Copulas checker-type approximations: Application to quantiles estimation of sums of dependent random variables

Abstract

Several approximations of copulas have been proposed in the literature. By using empirical versions of checker-type copulas approximations, we propose non parametric estimators of the copula. Under some conditions, the proposed estimators are copulas and their main advantage is that they can be sampled from easily. One possible application is the estimation of quantiles of sums of dependent random variables from a small sample of the multivariate law and a full knowledge of the marginal laws. We show that estimations may be improved by including in an easy way in the approximated copula some additional information on the law of a sub-vector for example. Our approach is illustrated by numerical examples.