A central limit theorem for the sample autocorrelations of a Lévy driven continuous time moving average process

In this article we consider Lévy driven continuous time moving average processes observed on a lattice, which are stationary time series. We show asymptotic normality of the sample mean, the sample autocovariances and the sample autocorrelations. A comparison with the classical setting of discrete moving average time series shows that in the last case a correction term should be added to the classical Bartlett formula that yields the asymptotic variance. An application to the asymptotic normality of the estimator of the Hurst exponent of fractional Lévy processes is also deduced from these results.     

Empathic Accuracy and Aggression in Couples: Individual and Dyadic Links

The authors examined links between intimate partner aggression and empathic accuracy—how accurately partners can read one another's emotions—during highly affective moments from couples' (N = 109) video recall of laboratory‐based discussions of upsetting events. Less empathic accuracy between partners was generally related to higher levels of aggression by both partners. More specific patterns emerged based on the type of aggression and emotion being expressed. Women's poorer ability to read their partners' vulnerable and positive emotions was linked to both men's and women's greater physical and psychological aggression. Moreover, women's inaccuracy in reading their partner's hostility was linked to women's greater psychological aggression toward the men. Men's inaccuracy in reading their partner's hostility was linked to women's (not men's) greater physical and psychological aggression. The results suggest important nuances in the links between empathic inaccuracy and aggression, and implications for prevention and treatment of partner aggression are discussed.     

Forced Migration,Climate Change,Mitigation and Adaptive Policies in Mexico: Some Functional Relationships

Natural disasters related to hydro-meteorological events have increased during the last few decades, both in frequency and severity. Mexico is heavily exposed to climate change, but has also suffered in the past from climate variability ( Blümel, 2009 ). The new risks oblige the government to develop mitigation processes, while the affected people are implementing strategies of adaptation and resilience-building, mostly at the family and community level. This includes forced migration due to climate change into the slums of megacities or illegal immigration to the United States. The arid, semi-arid and subhumid condition of 49.2 per cent of the territory of Mexico is seriously affected by climate change. In addition, poverty and the lack of jobs have created complex livelihood situations, in which young people leave rural areas, partly due to socio-economic pull factors. In this paper, we address the functional relationships between climate patterns and migration processes in Mexico, highlighting the linkages between the origin of migrants, their economic activity and their vulnerability to extreme events and we discuss long-term climate patterns. Agriculture still uses 78 per cent of the available water in Mexico. In the drylands the competition for water use requires an integrated policy to deal with the new threats from climate change, including mitigation from the top down and adaptation processes from the bottom up to reduce the social vulnerability of the rural population in the highly affected drylands of the central and northern parts of Mexico. The new policy for administering water resources, which promotes the efficient use of an increasingly scarce and polluted resource, still suffers from a lack of participation by the affected rural population. In this paper, we propose an integrated management system from the watershed onwards, involving socio-economic, political, cultural and hydrological variables, to deal with the rising scarcity of water, and the uncertainty and complexity of climate change.     

A feminist perspective on COVID‐19 and the value of care work globally

The shared response to the COVID‐19 crisis demonstrates that the vast majority of society believes human wellbeing — not economic growth — should be at the centre of policy. COVID‐19 exposes the foundational role of care work, both paid and unpaid, to functioning societies and economies. Focusing on ‘production’ instead of the sustainable reproduction of human life devalues care work and those who perform it. Women’s physical and mental health, and the societies that rely on them, are at stake. When these policies are formulated, the field of feminist economics has valuable lessons for mitigating hardships as countries navigate the related economic fallout. A comprehensive response to the COVID‐19 crisis must recognize this gendered work as an integral part of the economic system that promotes human wellbeing for all.     

Narrative skills predict peer adjustment across elementary school years

The importance of peer adjustment in middle childhood coincides with developing social cognitive and discursive skills that include the ability to make personal narrative accounts. Authoring personal stories promotes attention to the sequence of events, the causal connections between events, the moral significance of what has happened, and the motives that drive human action: these skills may be critical for the establishment and maintenance of satisfying peer relationships during elementary school. This study extended previous research by considering whether narrative skills in written stories about peer interactions predicted peer adjustment. As part of an ongoing longitudinal study, 92 children wrote narratives about peer experiences and completed surveys on measures of peer adjustment for two school years. Cross‐lagged panel models indicated that chronological and thematic coherence and reports of moral concerns in narratives in the first year of the study contributed to lower peer disliking in the subsequent academic year. Reports of motives in Year 1 narratives contributed to lower levels of loneliness and peer victimization in Year 2. Writing personal narratives that are coherent and attentive to moral concerns and motives may be especially beneficial for children who have difficulty connecting with peers. We discuss implications for classroom practices.     

The concept of sublimation

Women's Ways of Knowing: The Development of Self, Voice and Mind. M. F. Belenky, B. M. Clinchy, N. R. Goldberger and J. M. Tarule. (New York: Basic Books, 1986.)

The Therapist's Own Family: Toward the Differentiation of Self. Peter Titelman (Ed.). (Northvale, NJ: Jason Aronson, Inc., 1987.)

Clinical Work With Adolescents. Judith Marks Mishne. (New York: The Free Press, 1986.)     

Modeling distances between humans using Taylor’s law and geometric probability

Taylor’s law states that the variance of the distribution of distance between two randomly chosen individuals is a power function of the mean distance. It applies to the distances between two randomly chosen points in various geometric shapes, subject to a few conditions. In Réunion Island and metropolitan France, at some spatial scales, the empirical frequency distributions of inter-individual distances are predicted accurately by the theoretical frequency distributions of inter-point distances in models of geometric probability under a uniform distribution of points. When these models fail to predict the empirical frequency distributions of inter-individual distances, they provide baselines against which to highlight the spatial distribution of population concentrations.