Relative Inequality and Poverty in Germany and the United States Using Alternative Equivalence Scales

German and United States data from the Luxembourg Income Study are used to compare the relative economic well-being of Germans and Americans in the 1980s. In our analysis we use both official equivalence scales and consumption-based country-specific equivalence scales developed for Germany and the United States by Merz et al. (1993). We verify previous studies that show that inequality and the incidence of poverty are greater in the United States than in Germany. Overall inequality and poverty levels are found not to be sensitive to the equivalence scale used. But the official German equivalence scales yields quite different results from those using all other scales with respect to the relative income and poverty levels of vulnerable groups within the population, especially older single people.alternative equivalence scale, Germany, USA, distribution of income, inequality, poverty

Relative Inequality and Poverty in Germany and the United States Using Alternative Equivalence Scales

German and United States data from the Luxembourg Income Study are used to compare the relative economic well-being of Germans and Americans in the 1980s. In our analysis we use both official equivalence scales and consumption-based country-specific equivalence scales developed for Germany and the United States by Merz et al. (1993). We verify previous studies that show that inequality and the incidence of poverty are greater in the United States than in Germany. Overall inequality and poverty levels are found not to be sensitive to the equivalence scale used. But the official German equivalence scales yields quite different results from those using all other scales with respect to the relative income and poverty levels of vulnerable groups within the population, especially older single people.alternative equivalence scale, Germany, USA, distribution of income, inequality, poverty

Relative Inequality and Poverty in Germany and the United States Using Alternative Equivalence Scales

German and United States data from the Luxembourg Income Study are used to compare the relative economic well-being of Germans and Americans in the 1980s. In our analysis we use both official equivalence scales and consumption-based country-specific equivalence scales developed for Germany and the United States by Merz et al. (1993). We verify previous studies that show that inequality and the incidence of poverty are greater in the United States than in Germany. Overall inequality and poverty levels are found not to be sensitive to the equivalence scale used. But the official German equivalence scales yields quite different results from those using all other scales with respect to the relative income and poverty levels of vulnerable groups within the population, especially older single people.alternative equivalence scale, Germany, USA, distribution of income, inequality, poverty

Electronic structure of single-crystalline Mgx_xAl1−x_{1-x}B2_2 probed by x-ray diffraction multipole refinements and polarization-dependent x-ray absorption spectroscopy

X-ray diffraction multipole refinements of single-crystalline Mg$_x$Al$_{1-x}$B$_2$ and polarization-dependent near-edge x-ray absorption fine structure at the B 1$s$ edge reveal a strongly anisotropic electronic structure. Comparing the data for superconducting compounds ($x= 0.8$, 1.0) with those for the non-superconductor ($x=0$) gives direct evidence for a rearrangement of the hybridizations of the boron $p_z$ bonds and underline the importance of holes in the $\sigma$-bonded covalent $sp^2$ states for the superconducting properties of the diborides. The data indicate that Mg is approximately divalent in MgB$_2$ and suggest predominantly ionic bonds between the Mg ions and the two-dimensional B rings. For AlB$_2$ ($x=0$), on the other hand, about 1.5 electrons per Al atom are transferred to the B sheets while the residual 1.5 electrons remain at the Al site which suggests significant covalent bonding between the Al ions and the B sheets. This finding together with the static electron deformation density points to almost equivalent electron counts on B sheets of MgB$_2$ and AlB$_2$\@, yet with a completely different electron/hole distribution between the $\sigma$ and $\pi$ bonds

Prediction Error of the Chain Ladder Reserving Method applied to Correlated Run-off Triangles

In Buchwalder et al. (2006) we revisited Mack's (1993) and Murphy's (1994) estimates for the mean square error of prediction (MSEP) of the chain ladder claims reserving method. This was done using a time series model for the chain ladder method. In this paper we extend the time series model to determine an estimate for the MSEP of a portfolio of N correlated run-off triangles. This estimate differs in the special case N = 2 from the estimate given by Braun (2004). We discuss the differences between the estimate

Statistical Foundations of Actuarial Learning and its Applications

This open access book discusses the statistical modeling of insurance problems, a process which comprises data collection, data analysis and statistical model building to forecast insured events that may happen in the future. It presents the mathematical foundations behind these fundamental statistical concepts and how they can be applied in daily actuarial practice. Statistical modeling has a wide range of applications, and, depending on the application, the theoretical aspects may be weighted differently: here the main focus is on prediction rather than explanation. Starting with a presentation of state-of-the-art actuarial models, such as generalized linear models, the book then dives into modern machine learning tools such as neural networks and text recognition to improve predictive modeling with complex features. Providing practitioners with detailed guidance on how to apply machine learning methods to real-world data sets, and how to interpret the results without losing sight of the mathematical assumptions on which these methods are based, the book can serve as a modern basis for an actuarial education syllabus

Intercultural Competence Assessment: What Are Its Key Dimensions Across Assessment Tools?

Prior research has identified different dimensions of intercultural competence (IC). However, its focus remains inconsistent across different disciplines and contexts. Existing assessment tools do not focus on all dimensions of Intercultural Competence. Instead, each focuses only on a subset of the IC dimensions. To fill this gap, this study aims (1) to provide a review of currently available assessment tools for IC and (2) to identify a comprehensive list of the key dimensions of IC. This will help researchers agree on a unified definition of IC and develop a measurement of IC that is applicable across contexts and disciplines. The authors find that a comprehensive IC definition and measurement should take into account cognitive (culture-specific knowledge, attitude, open-mindedness/ flexibility, critical thinking, motivation, and personal autonomy), affective (cultural empathy and emotional stability/control), and behavioral (experience, social initiative, leadership, and communication) dimensions

Higher Moments of the Claims Development Result in General Insurance

The claims development result (CDR) is one of the major risk drivers in the profit and loss statement of a general insurance company. Therefore, the CDR has become a central object of interest under new solvency regulation. In current practice, simple methods based on the first two moments of the CDR are implemented to find a proxy for the distribution of the CDR. Such approximations based on the first two moments are rather rough and may fail to appropriately describe the shape of the distribution of the CDR. In this paper we provide an analysis of higher moments of the CDR. Within a Bayes chain ladder framework we consider two different models for which it is possible to derive analytical solutions for the higher moments of the CDR. Based on higher moments we can e.g. calculate the skewness and the excess kurtosis of the distribution of the CDR and obtain refined approximations. Moreover, a case study investigates and answers questions raised in IAS

Statistical Foundations of Actuarial Learning and its Applications

This open access book discusses the statistical modeling of insurance problems, a process which comprises data collection, data analysis and statistical model building to forecast insured events that may happen in the future. It presents the mathematical foundations behind these fundamental statistical concepts and how they can be applied in daily actuarial practice. Statistical modeling has a wide range of applications, and, depending on the application, the theoretical aspects may be weighted differently: here the main focus is on prediction rather than explanation. Starting with a presentation of state-of-the-art actuarial models, such as generalized linear models, the book then dives into modern machine learning tools such as neural networks and text recognition to improve predictive modeling with complex features. Providing practitioners with detailed guidance on how to apply machine learning methods to real-world data sets, and how to interpret the results without losing sight of the mathematical assumptions on which these methods are based, the book can serve as a modern basis for an actuarial education syllabus