Limit theorems for nondegenerate U-statistics of continuous semimartingales

This paper presents the asymptotic theory for nondegenerate U-statistics of high frequency observations of continuous Itô semimartingales. We prove uniform convergence in probability and show a functional stable central limit theorem for the standardized version of the U-statistic. The limiting process in the central limit theorem turns out to be conditionally Gaussian with mean zero. Finally, we indicate potential statistical applications of our probabilistic results.

Tools & Techniques - Statistics: Propensity score techniques.

Propensity score (PS) techniques are useful if the number of potential confounding pretreatment variables is large and the number of analysed outcome events is rather small so that conventional multivariable adjustment is hardly feasible. Only pretreatment characteristics should be chosen to derive PS, and only when they are probably associated with outcome. A careful visual inspection of PS will help to identify areas of no or minimal overlap, which suggests residual confounding, and trimming of the data according to the distribution of PS will help to minimise residual confounding. Standardised differences in pretreatment characteristics provide a useful check of the success of the PS technique employed. As with conventional multivariable adjustment, PS techniques cannot account for confounding variables that are not or are only imperfectly measured, and no PS technique is a substitute for an adequately designed randomised trial.

Cleverer than we thought: the change in discourse of the Georgian Orthodox Church

This paper will focus on three episodes of contemporary church-state relations in Georgia, in particular, the conflicting interaction between law and religion in the public space. The first episode will be an open confrontation between the church and the state over the law on Registration of Religious Minority organizations (2011) which allowed the religious minorities to freely register; second: the Law on Self-governance (2013) which Georgian Orthodox Church considered “a threat to territorial integrity of Georgia”; and lastly: the Law on Anti-discrimination (2014) which was deemed “legitimization of Sodomic sin”. By reflecting on the three examples where for the first time after the collapse of Soviet Union, the Georgian state openly confronted the church and made a decision notwithstanding its position, I will attempt to argue that the role of the Orthodox Church in influencing the law making process is in gradual decline. However, on the other hand, by presenting the results of an ethnographic study conducted in 23 eparchies and perishes in 7 regions of Georgia in 2014, I will also show that church has adapted to its declining role over policy making, and to regain its political influence it gradually started to employ a civic rather than ethno nationalist discourse on matters of religious freedom while engaging with government. The paper will suggest that both unilateral decision-making of the state and civic shift in the discourse of the church constitute an important change in understanding church-state dynamics in the post-communist Orthodox Christianity dominated society.

An Undisclosed Story of Roses: Church, State and Nation in Contemporary Georgia

I will attempt to problematize the typologies of nationalism when applied to the Georgian context, particularly in relationship to nationalism of President Mikheil Saakashvili. I will argue that the state-driven nationalism of post-Rose Revolution government was a hybrid form of ethno-cultural and civic which had elements of ethnic particularism towards the Orthodox Church. By reflecting on the growing assistance of Western institutions to Georgia, I will problematize the extent to which the rise of American and European involvement in the region reinforced the perceptions of the “self” and the “other” among the religious elites since the Rose Revolution. By presenting field research data (interviews) gathered in 23 eparchies and perishes with religious clerics in 7 regions of Georgia, I will argue that religious nationalism in Georgia strengthened not in response to but as an outcome of President Saakashvili’s policies towards the church, and partially as a reaction to the growing dissatisfaction with Western institutions working in Georgia and Western governments’ response to the Russo-Georgian War of 2008. By reflecting on empirical material, the paper attempts to problematize an understanding of religious nationalism as a social movement, an instance of cultural autonomy and a source of identity (Friedland 2001). In response, I suggest viewing religious nationalism in post-communist Georgia as medium of material and political interests

Einführung zu den Dialogtexten Altkatholische Kirchen der Utrechter Union – Mar Thoma Syrian Church of Malabar

2011 bis 2014 arbeitete eine gemischte Dialogkommission der Altkatholischen Kirchen der Utrechter Union und der Mar Thoma Syrian Church of Malabar. Sie erarbeitete drei Erklärungen zu Handen der Bischofskonferenzen der beiden Kirchen. Der vorliegende Beitrag bildet eine Einführung in diese Erklärungen aus christkatholischer Sicht. Er wird der Nationalsynode der Christkatholischen Kirche der Schweiz, die im Juni 2015 tagt, vorgelegt, und ggf. im WWW veröffentlicht.

Value Priorities and Content of Religiosity - New Research Perspectives

In this study the relationship of religiosity and value priorities is differentiated, based on a multidimensional measurement of different contents of religiosity. The structure of values is conceptualized using Schwartz’ (1992) two orthogonal dimensions of Self-transcendence vs. Self-enhancement and Openness to change vs. Conservation. The relations between these two dimensions and eight religious contents, ranging from open-minded to more close-minded forms of religiosity, were tested in a sample of church attenders (N = 685), gathered in Germany. The results show, that depending on the content of religiosity, different values are preferred (self-direction, universalism, benevolence, tradition and security values). The results indicate the importance of the content of religiosity for predicting value-loaded behaviors.

Belonging to a „Billion Strong Global Religion“: Hinduism Today, Hindu Communities and conversion to Hinduism in the Śaiva Siddhānta Church

The Śaiva Siddhānta Church (ŚSC), based in Kauai HI, USA, has been holding rites of conversion to Hinduism since the 1960s. These rites include studying one’s “former” religion, officially declaring severance from it in the presence of a minister or mentor, choosing and officially adopting a new Hindu name as well as aligning with “the Hindu community”. Starting from here, this paper will address the question of community with respect to (1) the meanings of the term, (2) the idea of Hinduism as “a global religion” upheld by numerous “communities” worldwide and (3) the relevance of “community” in the conversion process. For doing so, I will draw on source material published by the Himalayan Academy, a branch of the ŚSC, in the global magazine Hinduism Today, in book publications and on their various websites.

Directional statistics: introduction

In many of the natural and physical sciences, measurements are directions, either in two or three dimensions. The analysis of directional data relies on specific statistical models and procedures, which differ from the usual models and methodologies of Cartesian data. This chapter briefly introduces statistical models and inference for this type of data. The basic von Mises-Fisher distribution is introduced and nonparametric methods such as goodness-of-fit tests are presented. Further references are given for exploring related topics such as correlation and regression.