1,318 research outputs found
„Vom Streifenhörnchen zum Nadelstreifen“ – Hans Peter Klein spricht über das Bildungswesen im „Kompetenztaumel“
Von Ingo Kleiber Hans Peter Klein im Rahmen des HSE-Expertenforums (Foto: HSE | Ingo Kleiber). Am 22. Juni 2017 sprach der Biologe, Didaktiker und Bildungsforscher Prof. Dr. Hans Peter Klein als zweiter Experte im Rahmen des HSE-Expertenforums „Bildung und Identität“ in Heidelberg über die Kompetenzorientierung und die Ökonomisierung des Bildungswesens. In seinem Vortrag mit dem Titel „Vom Streifenhörnchen zum Nadelstreifen: Das deutsche Bildungswesen im Kompetenztaumel“ fasste Klein nicht n..
Van Zwet ordering and the Ferreira-Steel family of skewed distributions
There are several procedures to construct a skewed distribution. One of these procedures is based on a symmetric distribution that will be distorted by a skewed distribution defined on (0; 1). This proposal stems from Arellano-Valle et al. and was refined by Ferreira and Steel. Up to now, it is an open question whether the famous skewness ordering of van Zwet will be preserved for this proposal. There is a general condition under which the van Zwets skewness ordering will be preserved by the Ferreira-Steel family. But this condition is not easy to verify for the most families of distribution. Therefore, for the skewness mechanism we choose a special beta distribution with only one parameter. Then, we get three results. First, the skewness ordering will be preserved starting for symmetric distributions that are leptokurtic like the logistic distribution. Larger parameter values give distributions that are more skewed to the right. Second, the same skewness mechanism can generate distributions that are more skewed to left if the support of the underlying symmetric distribution is compact. Third, for underlying symmetric distributions on R with platykurtic behavior the van Zwet ordering of skewness will be preserved. This restricts a little bit the benefit of the Ferreira-Steel family. --skewness,skewness to the right,skewness ordering,measure of skewness
Van Zwet ordering for Fechner asymmetry
There are several procedures to construct a skewed distribution. One of these procedures splits the value of a parameter of scale for the two halfs of a symmetric distribution. Fechner proposed this procedure in his famous book Kollektivmaßlehre (1897), p. 295ff.. A similar proposal comes from Fernandez et al. (1995). We consider the very general approach from Arellano-Valle et al. (2005) of splitting a scale parameter and show that this technique of generating skewed distributions incorporates a well-defined parameter of skewness. It is well-defined in the sense that the parameter of skewness is compatible with the orderingSkewness,skewness to the right,skewness ordering,measure of skewness
Multivariate dependence modeling using copulas
There exist necessary and sufficient conditions on the generating functions of the FGM family, in order to obtain various dependence properties. We present multivariate generalizations of this class studying symmetry and dependence concepts, measuring the dependence among the components of each class and providing several examples.copula, density function, FGM copulas, dependence, symmetry
Das Phaenomen des Gruppenarbeitsverhaeltnisses
Klein I. Das Phaenomen des Gruppenarbeitsverhaeltnisses. Bielefeld; 1982
Ingo Plag, Word-Formation in English (2
1. General observations Ingo Plag is Professor of English Linguistics at Heinrich-Heine-Universität Düsseldorf. He has published articles in specialized journals like Linguistics, Language or English Language and Linguistics and in works like the Yearbook of Morphology [2001], Word-Formation: An International Handbook of the Languages of Europe [2016] or Word Knowledge and Word Usage: A Cross-Disciplinary Guide to the Mental Lexicon [2017]. He is the author of Morphological Productivity: Stru..
Kurtosis transformation and kurtosis ordering
Leptokurtic distributions can be generated by applying certain non-linear transformations to a standard normal random variable. Within this work we derive general conditions for these transformations which guarantee that the generated distributions are ordered with respect to the partial ordering of van Zwet for symmetric distributions and the partial ordering of MacGillivray for arbitrary distributions. In addition, we propose a general power transformation which nests the H-, J- and K-transformations which have already been proposed in the literature. Within this class of power transformations the above mentioned condition can be easily verified and the power can be interpreted as parameter of leptokurtosis. --Power kurtosis transformation,leptokurtosis,kurtosis ordering
Kurtosis ordering of the generalized secant hyperbolic distribution: a technical note
Two major generalizations of the hyperbolic secant distribution have been proposed in the statistical literature which both introduce an additional parameter that governs the kurtosis of the generalized distribution. The generalized hyperbolic secant (GHS) distribution was introduced by Harkness and Harkness (1968) who considered the p-th convolution of a hyperbolic secant distribution. Another generalization, the so-called generalized secant hyperbolic (GSH) distribution was recently suggested by Vaughan 2002). In contrast to the GHS distribution, the cumulative and inverse cumulative distribution function of the GSH distribution are available in closedform expressions. We use this property to proof that the additional shape parameter of the GSH distribution is actually a kurtosis parameter in the sense of van Zwet (1964). --kurtosis ordering,hyperbolic secant distribution
Kurtosis modelling by means of the J-transformation
The H-family of distributions or H-distributions, introduced by Tukey (1960, 1977), are generated by a single transformation of the standard normal distribution and allow for leptokurtosis represented by the parameter h. Alternatively, Haynes, MacGillivray and Mengersen (1997) generated leptokurtic distributions by applying the K-transformation to the normal distribution. In this study we propose a third transformation - the so-called J-transformation - and derive some properties of this transformation. Moreover, so-called elongation generating functions (EGF’s) are introduced. By means of EGF's we are able to visualize the strength of tail elongation and to construct new transformations. Finally, we compare the three transformations towards their goodness-of-fit in the context of financial return data. --kurtosis,variable transformation,normal transformation,tail elongation.
Remarks on Early Medieval legal charters — The legend of “dux Ingo” and his “carta sine litteris”
Enea Silvio Piccolomini in his work entitled
De Europa
written in 1458, tells an interesting story defined as a legend in terms of genre about a duke called Ingo, who lived during the reign of Charlemagne. This narrative claims that in 790
dux gentis
Ingo held a feast for the inhabitants of his province where food was served to the peasants allowed to appear before him in golden and silver bowls, while to the dignitaries standing further away from him in bowls made of clay. The researchers’ attention is deservedly raised by the query how come that this parabolical story with biblical tone was included in Enea Silvio’s work; if it had been borrowed who the
auctor
might have been he borrowed it from. The answer seems to be very simple: from the
Conversio Bagoariorum et Carantanorum
drafted regarding the lawsuit proceeded against Methodius. In the case narrated in the
Conversio
Ingo sent a charter or much rather a parchment without any writing, or letters on it
(carta sine litteris)
, which provided his legate with sufficient authenticity to demand obedience from the people.In this study-after having compared the two narratives and outlined the place of De Europa in Enea Silvio Piccolomini’s oeuvre and the circumstances of the drafting and tendencies of the Conversio Bagoariorum et Carantanorum-the author attempts to answer the following questions. To what extent can duke Ingo, mentioned by Enea Silvio and not questioned in the literature for long centuries, be considered a real historical person? Does the Conversio refer to Ingo as a duke, and if it does, what is his existence as a duke and introduction in the literature as a duke owing to? What could the meaning of carta sine litteris referred to in Conversio have been, and why did Enea Silvio not take this item over although he could have put it forward as a further proof of Ingo’s dignity? To what literary prefigurations can the description of the feast held by Ingo be traced back to, and what role did it play in the Conversio? Regarding the borrowing of the Ingo story by Enea Silvio, what possible intermediary writing and author can be reckoned with
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