Parisian ruin over a finite-time horizon

For a risk process $R_u(t)=u+ct-X(t), t\ge 0$, where $u\ge 0$ is the initial capital, $c>0$ is the premium rate and $X(t),t\ge 0$ is an aggregate claim process, we investigate the probability of the Parisian ruin $$\mathcal{P}_S(u,T_u)=\mathbb{P}\{\inf_{t\in[0,S]} \sup_{s\in[t,t+T_u]} R_u(s)<0\},$$ with a given positive constant $S$ and a positive measurable function $T_u$. We derive asymptotic expansion of $\mathcal{P}_S(u,T_u)$, as $u\to\infty$, for the aggregate claim process $X$ modeled by Gaussian processes. As a by-product, we derive the exact tail asymptotics of the infimum of a standard Brownian motion with drift over a finite-time interval.Comment: 2

The mental health continuum-short form: the structure and application for cross-cultural studies-A 38 nation study

Objective: The Mental Health Continuum-Short Form (MHC-SF) is a brief scale measuring positive human functioning. The study aimed to examine the factor structure and to explore the cross-cultural utility of the MHC-SF using bifactor models and exploratory structural equation modelling. Method: Using multigroup confirmatory analysis (MGCFA) we examined the measurement invariance of the MHC-SF in 38 countries (university students, N = 8,066; 61.73% women, mean age 21.55 years). Results: MGCFA supported the cross-cultural replicability of a bifactor structure and a metric level of invariance between student samples. The average proportion of variance explained by the general factor was high (ECV =.66), suggesting that the three aspects of mental health (emotional, social, and psychological well-being) can be treated as a single dimension of well-being. Conclusion: The metric level of invariance offers the possibility of comparing correlates and predictors of positive mental functioning across countries; however, the comparison of the levels of mental health across countries is not possible due to lack of scalar invariance. Our study has preliminary character and could serve as an initial assessment of the structure of the MHC-SF across different cultural settings. Further studies on general populations are required for extending our findings.info:eu-repo/semantics/acceptedVersio

As cold as a fish? Relationships between the Dark Triad personality traits and affective experience during the day: A day reconstruction study

The Dark Triad of personality is a cluster of three socially aversive personality traits: Machiavellianism, narcissism and psychopathy. These traits are associated with a selfish, aggressive and exploitative interpersonal strategy. The objective of the current study was to establish relationships between the Dark Triad traits (and their dimensions) and momentary affect. Machiavellianism, grandiose narcissism, vulnerable narcissism and the dimensions of the Triarchic model of psychopathy (namely, boldness, meanness and disinhibition) were examined. We used the Day Reconstruction Method, which is based on reconstructing affective states experienced during the previous day. The final sample consisted of 270 university students providing affective ratings of 3047 diary episodes. Analyses using multilevel modelling showed that only boldness had a positive association with positive affective states and affect balance, and a negative association with negative affective states. Grandiose narcissism and its sub-dimensions had no relationship with momentary affect. The other dark traits were related to negative momentary affect and/or inversely related to positive momentary affect and affect balance. As a whole, our results empirically demonstrated distinctiveness of the Dark Triad traits in their relationship to everyday affective states. These findings are not congruent with the notion that people with the Dark Triad traits, who have a dispositional tendency to manipulate and exploit others, are generally cold and invulnerable to negative feelings. The associations between the Dark Triad and momentary affect were discussed in the contexts of evolutionary and positive psychology, in relation to the role and adaptive value of positive and negative emotions experienced by individuals higher in Machiavellianism, narcissism and psychopathy

Structural Validity of the Communal Narcissism Inventory (CNI): The Bifactor Model

The current report presents the factor structure analysis for the Communal Narcissism Inventory (CNI). The bi-factor model assuming one general factor and two residual factors (present-focused and future-focused communal narcissism) was examined across two student samples originating from Poland (N = 831) and the UK (N = 304) and compared to one-factor and two-factor solutions. Results supported the bifactor solution for the CNI, with one strong general factor and two weaker residual factors, as well as an indicated difference in the strength of correlations with external variables (self-esteem, agentic narcissism and psychological entitlement) for present and future communal narcissism. The obtained bifactor solution showed partial scalar invariance across two national samples, suggesting full replication of findings in two different cultural contexts. The implications of the bifactor model of communal narcissism for research practice is discussed in terms of both structural equation modelling and multiple regression analyses

How does it feel to be a narcissist? : narcissism and emotions

Emotional processes are of key importance for the understanding of narcissism, in both its grandiose and its vulnerable forms. The current chapter provides an overview on the links between narcissism and emotionality. The two forms of narcissism differ distinctly in their hedonic tone, with vulnerable narcissism being characterized by negative emotionality and low well-being and grandiose narcissism being linked to positive emotionality and high well-being. Both forms are related to strong mood variability that is thought to stem from contingent self-esteem. Both forms are related to hubristic pride, but only vulnerable narcissism is linked to shame-proneness, envy, and schadenfreude. Both forms are characterized by outbursts of anger, but the underlying causes and the expression of anger differ between the two forms. Specifically, vulnerable narcissism is linked to uncontrollable narcissistic rage that stems from a fragile sense of self and results in disproportionate and dysfunctional aggression. Grandiose narcissism, in contrast, goes along with instrumental aggression that serves the purpose of asserting one's dominance in the face of strong direct status threats. Vulnerable narcissism is related to deficits in emotion regulation, yet research has just begun to shed light on the regulation processes of grandiose narcissists. The chapter concludes with reflections on how recent theoretical and methodological developments might be employed to gain a fuller understanding of narcissists' emotional lives