Matrix-trace Cauchy-Schwarz inequalities and applications in canonical correlation analysis

Various matrix-trace Cauchy-Schwarz and related inequalities involving positive semidefinite matrices are obtained. Applications of some of these results to canonical correlation analysis are presented.     

Multiple hypothesis tests based On conditional differences in means

Many hypothesis tests are univariate tests and cannot cope with multiple hypothesis without an auxiliary procedure as e. g. the Bonferroni-Holm-procedure. At the same time, there is an urgent need for testing multiple hypothesis due to the very simple existing methods as the Bonferroni-correction or the Bonferroni-Holm-procedure, which suffers from a very small local significance level to detect statistical inferences or the drawback that logical and statistical dependencies among the test statistics are not used, whereby its detection is NP-hard. In honour of this occasion, we present a multiple hypothesis test for i.i.d. random variables based on conditional differences in means, which is capable to cope with multiple hypothesis and does not suffer on such drawbacks as the Bonferroni-correction or the Bonferroni-Holm-procedure. Thereby, the computation time can be neglected.     

The no-wait job shop with regular objective: a method based on optimal job insertion

The no-wait job shop problem (NWJS-R) considered here is a version of the job shop scheduling problem where, for any two operations of a job, a fixed time lag between their starting times is prescribed. Also, sequence-dependent set-up times between consecutive operations on a machine can be present. The problem consists in finding a schedule that minimizes a general regular objective function. We study the so-called optimal job insertion problem in the NWJS-R and prove that this problem is solvable in polynomial time by a very efficient algorithm, generalizing a result we obtained in the case of a makespan objective. We then propose a large neighborhood local search method for the NWJS-R based on the optimal job insertion algorithm and present extensive numerical results that compare favorably with current benchmarks when available.     

Complexity: Some Remarks about a Classical Aesthetic Concept

The connection between autonomous art and complexity has been extensively and deeply studied in literary theories in the 20th century. The rise of aesthetic autonomy implies the complexity of literary work as the concept of a sealed container arises from the relationship between the parts that make it up. In this model, the interpretation subject works to directly face literary texts. Instead of pursuing the author’s intention, it aims to reproduce the richness and subtlety of the aesthetic state, and consider the richness and subtlety revealed in the maximum amount of text details in literary works, even if procedurally deviating from the way of mainstream understanding. There is increasing skepticism about the consequences of the autonomous aesthetics, which has been coerced by the development of contemporary capitalism, and it is necessary to develop new forms of aesthetics to reflect the changing social situation.     

Übergangsratenmodelle bei intervalldatierten Ereignissen

Statistical Papers - In event history data, events often are not dated exactly but only a time interval is recorded. In contrast, common estimators for transition rate models assume exactly dated...     

Economic convergence and life satisfaction in the European Union

The issue of convergence or divergence in the European Union (EU) is usually viewed from a macroeconomic perspective, using indicators such as the income per head, the unemployment rate and the inflation rate. Little attention has been paid to the possibility of an associated convergence in ‘well-being’ across countries. Since recent literature has shown that subjective well-being (life satisfaction, ‘happiness’) is significantly affected by macroeconomic variables, it is natural to ask not only whether or not subjective well-being converges, but also, whether, how and to what extent this process is linked to macroeconomic convergence. In this paper we use self-rated life satisfaction elicited in large scale surveys to address these questions. We find evidence of convergence of life satisfaction across the member states of the EU, which can be attributed to a considerable extent to the convergence in macroeconomic conditions. Among the various macroeconomic indicators, the convergence in inflation rates has played a major role for the convergence in life satisfaction.     

What Shapes Satisfaction with Democracy? Interests,Morals, and the German East–West Divide

Social Indicators Research - Thirty years after reunification, East and West Germany are still characterized by a considerable difference in satisfaction with democracy (SWD). This paper proposes...