Vine copula is an important tool in modeling dependence structures of continuousvalued random variables. The maximum likelihood estimation (MLE) for vine copulas has long been considered computationally difficult in higher dimensions, even in 10 or 20 dimensions. Current computational practice, including the implementation in the state-ofthe-art R package VineCopula, suffers from the bottleneck...

The copula–entropy theory combines the entropy theory and the copula theory. The entropy theory has been extensively applied to derive the most probable univariate distribution subject to specified constraints by applying the principle of maximum entropy. With the flexibility to model nonlinear dependence structure, parametric copulas (e.g., Archimedean, extreme value, meta-elliptical, etc.) ha...

The univariate Piecing-Together approach (PT) fits a univariate generalized Pareto distribution (GPD) to the upper tail of a given distribution function (df) in a continuous manner. A multivariate extension was established by Aulbach et al. (2011a): The upper tail of a given copula C was cut off and substituted by the upper tail of a multivariate GPD-copula in a continuous manner. The result is...

Ethylbenzene is primarily produced by the alkylation of benzene with ethylene in liquid-phase slurry reactors promoted with aluminum chloride catalysts or by vapor-phase reaction of benzene with dilute ethylene-containing feedstock with a boron trifluoride catalyst supported on alumina (Cannella 2007; Clayton and Clayton 1981; HSDB 2009; Welch et al. 2005; Ransley 1984). Newer versions of the m...

Yoshinari Yasuda, Yoichi Miyamoto, Tomoko Yamashiro, Munehiro Asally, Ayumi Masui, Chin Wong, Kate L Loveland and Yoshihiro Yoneda* Department of Frontier Biosciences, Graduate School of Frontier Biosciences, Osaka University, Osaka, Japan, Department of Biochemistry and Molecular Biology, School of Biomedical Sciences, Monash University, Clayton, Victoria, Australia, Department of Anatomy and ...

Allergy to cows' milk-protein is an occasional cause ofpersistent diarrhoea (Clein, 1954; Collins-Williams, 1954; Kane, 1957; Bachman and Dees, 1957a, b; Davies, 1958), but in the absence of other overt signs of allergy, may easily be overlooked. The management of milk intolerance often involves the use of synthetic feeds, which in themselves may produce a fulminating illness (Wilson and Clayto...

Copula constructions are problematic in the syntax of most languages. The paper describes three different dependency syntactic methods for handling copula constructions: function head, content head and complex label analysis. Furthermore, we also propose a POS-based approach to copula detection. We evaluate the impact of these approaches in computational parsing, in two parsing experiments for ...

Considering two different metrics on the space of two-dimensional copulas C we prove some Baire category results for important subclasses of copulas, including the families of exchangeable, associative, and Archimedean copulas. From the point of view of Baire categories, with respect to the uniform metric d∞, a typical copula is not symmetric and a typical symmetric copula is not associative, w...