Actor-oriented models are proposed for the statistical analysis of longitudinal social network data. These models are implemented as simulation models, and the statistical evaluation is based on the method of moments and the Robbins-Monro process applied to computer simulation outcomes. In this approach, the calculations that are required for statistical inference are too complex to be carried ...

Distributions of many chemical, physical, and microbiological properties of soils appear to be lognormal. Several conflicting recommendations exist in the soil science and statistical literature on how to best estimate the population mean, variance, and coefficient of variation of lognormally distributed data. We chose to determine with statistical certainty which of the following three methods...

Though often not explicitly stated, the method of moments is one of the heavily used methods in queueing analysis. A typical, tagged customer is traced as it proceeds through the system and the components of its delay are individually analyzed. Using the moments of these components, moments of the sojourn and waiting times of an arbitrary customer can be derived. By this method, expected values...

Analytically predicting the performance of data-dependent programs is an extremely challenging problem. Even for a fixed problem size the variety of typical input data sets may cause a considerable execution time variance. Especially for time-critical applications, merely predicting the mean execution time does not suffice and knowledge of the execution time distribution is essential. In this p...

A new arbitrary Polynomial Chaos (aPC) method is presented for moderately high-dimensional problems characterised by limited input data availability. The proposed methodology improves the algorithm of aPC and extends the method, that was previously only introduced as tensor product expansion, to moderately high-dimensional stochastic problems. The fundamental idea of aPC is to use the statistic...

Diamagnetic susceptibilities of two series of organic compounds have been described by using a novel sub-structural approach. The method is based on the calculation of spectral moments of the bond adjacency matrix of molecular graphs. These spectral moments are expressed via algebraic expressions as linear combinations of simple fragments present in molecules. Contributions of each fragment to ...