Omnibus tests for the error distribution in the linear regression model

Test procedures are constructed for testing the goodness-of-fit of the error distribution in the regression context. The test statistic is based on an L ²-type distance between the characteristic function of the (assumed) error distribution and the empirical characteristic function of the residuals. The asymptotic null distribution as well as the behavior of the test statistic under contiguous alternatives is investigated, while the issue of the choice of suitable estimators has been particularly emphasized. Theoretical results are accompanied by a simulation study.     

Border estimation of a two-dimensional uniform distribution if data are measured with additive error

The paper considers estimation of the boundary of an elliptical domain when the data without a measurement error are distributed uniformly on this domain but are superimposed by random errors. The problem is solved in two phases. In the first phase the domain is subdivided into thin slices and the endpoints of these slices are estimated within the framework of a corresponding one-dimensional problem. In the second phase the estimated endpoints are used to estimate the boundary using the total least-squares curve fitting procedure.     

Total least squares and bootstrapping with applications in calibration

The solution to the errors-in-variables problem computed through total least squares is highly nonlinear. Because of this, many statistical procedures for constructing confidence intervals and testing hypotheses cannot be applied. One possible solution to this dilemma is bootstrapping. A nonparametric bootstrap technique could fail. Here, the proper nonparametric bootstrap procedure is provided and its correctness is proved. On the other hand, a residual bootstrap is not valid and suitable in this case. The results are illustrated through a simulation study. An application of this approach to calibration data is presented.     

Self-weighted recursive estimation of GARCH models

The generalized autoregressive conditional heteroscedasticity (GARCH) processes are frequently used to investigate and model financial returns. They are routinely estimated by computationally complex off-line estimation methods, for example, by the conditional maximum likelihood procedure. However, in many empirical applications (especially in the context of high-frequency financial data), it seems necessary to apply numerically more effective techniques to calibrate and monitor such models. The aims of this contribution are: (i) to review the previously introduced recursive estimation algorithms and to derive self-weighted alternatives applying general recursive identification instruments, and (ii) to examine these methods by means of simulations and an empirical application.     

Religiosity as a predictor of students' political attitudes

This paper analyzes the relationship between students' level of actual religiosity and their sociodemographic characteristics, political orientation, and political attitudes. The paper is based on an online survey conducted at the University of Rijeka (N = 624) in 2021. The vast majority of our respondents (90%) received the three holy sacraments of initiation in their early childhood and attended Catholic religious education at school. The explanation of the significantly less actual religiosity of students is approached from the position of Pickel's contextualized theory of secularization. Relying on Voas and Day, a composite variable distinguishes highly religious students, moderately religious students, weakly religious students, and non-religious students on the basis of the respondents' positioning toward religious self-identification, beliefs, Church attendance, and the importance of religion in one's life. Statistically significant correlations between actual religiosity and political orientation were established. Very religious Catholic students, who are the least numerous and the least homogenous category, are more inclined to right-wing political orientation and reject ethno-nationalism/anti-multiculturalism less and accept clericalism more than other categories of students. In a broader sense, this study reveals that a large number of respondents distance themselves from religion and the Church at student age despite their experience of formal religious socialization at school age. Furthermore, the results suggest that the synergy of the liberalizing effect of education and the tolerant sociocultural atmosphere of an area reduces the influence of religiosity on the political attitudes and orientation of students.     

Attachment Perspective on Marital Dissolution and Relational Family Therapy

Divorce or dissolution of a long-term intimate relationship is an event on the continuum of an individual’s experience of attachment injury that is reawakened and played out again in this process. An attachment injury means the experience of rejection and betrayal of trust at a critical time of distress when one is in need of support. By means of the case study method, the article presents a case of a female client dealing with divorce. The history of traumatic relations through a lens of attachment theory is presented, along with divorce as the reawakening of an attachment injury and its processing in a relational family therapy model.     

Causes of Divorce from the Perspective of Females in Slovenia

Divorce is a stressful life transition and does not have a single cause. This article presents the results of qualitative research on the causes for separation as perceived by women in Slovenia. Ten interviews were carried out with women divorced for less than 10 years and between 29 and 57 years old. The women created their own meanings of the reasons for divorce, all of which corresponded with other studies. The findings confirm the complex factors that contribute to the disintegration of marriage and that existed prior to the divorce. The research results present a vantage point for developing preventive activities that foster improved quality of interpersonal relationships in Slovenia.     

A Wald-type test statistic based on robust modified median estimator in logistic regression models

In this paper a new robust estimator, modified median estimator, is introduced and studied for the logistic regression model. This estimator is based on the median estimator considered in Hobza et al. [Robust median estimator in logistic regression. J Stat Plan Inference. 2008;138:3822–3840]. Its asymptotic distribution is obtained. Using the modified median estimator, we also consider a Wald-type test statistic for testing linear hypotheses in the logistic regression model and we obtain its asymptotic distribution under the assumption of random regressors. An extensive simulation study is presented in order to analyse the efficiency as well as the robustness of the modified median estimator and Wald-type test based on it.