Note on sums of a random number of random variables with exponential family distributions

With the help of the result that exponential-type families are determined by their mean value functions it is shown that stochastic independence of the random variables S_N and N-S_N characterizes the Poisson and Bernoulli distributions simultaneously.     

A genearalization of a result of chernoff in large sample theory

A wellknown result of CHERNOFF on the convergence rate of the 2nd kind error in testing two simple hypotheses is generalized to the case of finite hypotheses by help of methods of linear programming and the asymptotic behaviour of the corresponding least favourable distribution is investigated.     

Wertschöpfungspotenziale und strategische Implikationen einer Öffnung von Informationsressourcen – Phänomenologie und ein Bezugsrahmen

For some years, companies have successfully harnessed the value-creation potential of external resources by opening up their information resources, thus increasing considerably the value of their own resources. Corresponding phenomena, however, cannot be explained by common resource-based approaches. By providing a structure, our article contributes to a deeper understanding of this issue. We develop a framework, grounded in the Resource-Based View, that differentiates phenomena of opening up information resources between two dimensions: (1) access and (2) control. Our analysis motivates an extended view of information resources management that also accounts for enterprise-external resources. We conceptualize this view as the “management of information spheres,” highlighting the need for further research in the field of value creation related to external resources.     

On the optimality of the sample variance

The present paper explores the structure of linear exponential families for which the sample variance is a uniformly minimum variance unbiased estimator.     

On exact and optimal single-sampling plans by variables

We deal with sampling by variables with two-way protection in the case of a $N\>(\mu ,\sigma ^2)$ distributed characteristic with unknown $\sigma $ . The LR sampling plan proposed by Lieberman and Resnikoff (JASA 50: 457 ${-}$ 516, 1955) and the BSK sampling plan proposed by Bruhn-Suhr and Krumbholz (Stat. Papers 31: 195–207, 1990) are based on the UMVU and the plug-in estimator, respectively. For given $p_1$ (AQL), $p_2$ (RQL) and $\alpha ,\beta $ (type I and II errors) we present an algorithm allowing to determine the optimal LR and BSK plans having minimal sample size among all plans satisfying the corresponding two-point condition on the OC. An R (R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org/ 2012) package, ExLiebeRes‘ (Krumbholz and Steuer ExLiebeRes: calculating exact LR- and BSK-plans, R-package version 0.9.9. http://exlieberes.r-forge.r-project.org 2012) implementing that algorithm is provided to the public.     

Price perception and confirmation bias in the context of a VAT increase

This paper examines a potential confirmation bias in price perception in consequence to a real-world event and different explanations for such a confirmation bias. In a panel design conducted 2 months before and after a raise in value-added tax (VAT), 303 participants had to estimate the current prices for four products affected and four products not affected by this raise in VAT and the anticipated or recalled prices of these products. Before the VAT increase, an undifferentiated belief in strong future price increases was prevalent. After the VAT increase, a confirmation bias was found: in retrospect, participants reported price increases that were significantly higher than the official price development and in line with an undifferentiated belief in marked price increases. Two theoretical explanations for confirmation bias, i.e., the biased use of price information and the selective distortion of memory, fit the data.     

Religiös-konfessionelle Kultur und individuelle Religiosität: Ein Vergleich zwischen West- und Ostdeutschland

In religious terms, East and West Germany are still two separate societies more than 20 years after reunification. While the large majority of the population in West Germany belongs to one of the two main Christian churches, the proportion of those without a denomination in East Germany is now more than 70 %. Moreover, as far as church involvement, confidence in the church and individual religiosity are concerned, the West Germans have a much stronger religious affiliation to the church than their East German counterparts. The main reason for this difference is the influence of different political systems and legal cultures in East and West during the period when the two parts of Germany were divided. The fact, though, that the process of secularization has continued unabated in East Germany since 1989, and that the religious and ecclesiastical discrepancies between the two parts of the country have, if anything, become stronger rather than weaker since then, would suggest that there are other factors at work here, too. In this contribution, we argue that one of the factors that needs to be considered is the dominant denominational culture that exists in each of the two parts of the country, a culture which is highly persistent, can easily reproduce itself, puts pressure on the respective minority cultures, and is able to diffuse into them. While the dominant denominational culture in West Germany is able to slow down the current processes of secularization, the secular, non-denominational majority culture in the East tends rather to produce effects which accelerate these processes. In this essay, we use a variety of empirical indicators (effectiveness of religious socialization, denominational affiliation, churchly affiliation, faith in God) to demonstrate these effects.     

Religious individualization or secularization? Testing hypotheses of religious change – the case of Eastern and Western Germany

The individualization thesis advanced by sociologists of religion such as Grace Davie, Danièle Hervieu-Léger, Michael Krüggeler, Thomas Luckmann, Hubert Knoblauch, Wade Clark Roof, Wayne E. Baker, and others has become increasingly widespread especially in Europe within the sociology of religion. In contrast to the secularization theory it assumes that processes of modernization will not lead to a decline in the social significance of religion, but rather to a change in its social forms. According to the individualization theory, traditional and institutionalized forms of religiosity will be increasingly replaced by more subjective ones detached form church, individually chosen, and syncretistic in character. The article examines the empirical applicability of the individualization thesis on the basis of how religiosity and church affiliation have evolved in Germany over the past 50 years. It comes to the conclusion that the rise of individually determined non-church religiosity cannot compensate for the losses of institutionalized religiosity, since non-church religiosity remains rather marginal and is interwoven with traditional Christian religiosity. Religious individualization is only a component of the predominant secularization process.