The Kendall (1955) rank correlation coefficient evaluates the degree of similarity between two sets of ranks given to a same set of objects. This coefficient depends upon the number of inversions of pairs of objects which would be needed to transform one rank order into the other. In order to do so, each rank order is represented by the set of all pairs of objects (e.g., [a,b] and [b,a] are the...

On cloud modelling and the mass accommodation coefficient of water A. Laaksonen, T. Vesala, M. Kulmala, P. M. Winkler, and P. E. Wagner Department of Applied Physics, University of Kuopio, P.O. Box 1627, FIN-70211 Kuopio, Finland Department of Physical Sciences, University of Helsinki, P.O. Box 64, FIN-00014 Helsinki, Finland Institut für Experimentalphysik, Universität Wien, Boltzmanngasse 5, ...

Environmental chemistry is a new field of study in many chemistry departments and only three published summaries of environmental laboratory experiments are available (1–3). While these laboratory manuals contain excellent experiments for the training of students in environmental monitoring, relatively few standardized procedures have been published for broader issues such as the measuring of f...

Varying-coefficient linear models arise from multivariate nonparametric regression, nonlinear time series modelling and forecasting, functional data analysis, longitudinal data analysis, and others. It has been a common practice to assume that the vary-coefficients are functions of a given variable which is often called an index. A frequently asked question is which variable should be used as t...

For an arbitrary random vector (X,Y ) and an independent random variable Z it is shown that the maximum correlation coefficient between X and Y + λZ as a function of λ is lower semicontinuous everywhere and continuous at zero where it attains its maximum. If, moreover, Z is in the class of self-decomposable random variables, then the maximal correlation coefficient is right continuous, nonincre...

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