Logistic Regression (LR) is a well known classification method in the field of statistical learning. It allows probabilistic classification and shows promising results on several benchmark problems. Logistic regression enables us to investigate the relationship between a categorical outcome and a set of explanatory variables. Artificial Neural Networks (ANNs) are popularly used as universal non...

In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces...

Multiple linear regression with special properties of its coefficients parameterized by exponent, logit, and multinomial functions is considered. To obtain always positive coefficients the exponential parameterization is applied. To get coefficients in an assigned range, the logistic parameterization is used. Such coefficients permit us to evaluate the impact of individual predictors in the mod...

Multinomial logistic regression is a powerful tool to model choice from a finite set of alternatives, but it comes with an underlying model assumption called the independence of irrelevant alternatives, stating that any item added to the set of choices will decrease all other items’ likelihood by an equal fraction. We perform statistical tests of this assumption across a variety of datasets and...

Motivated by applications in retail, online advertising, and cultural markets, this paper studies how to find the optimal assortment and positioning of products subject to a capacity constraint and social influence. We prove that the optimal assortment and positioning can be found in polynomial time for a multinomial logit model capturing utilities, position bias, and social influence. Moreover...

Recently, Internet Telephony (IT) has become an increasingly popular telecommunications service due to its low cost. Accordingly, this study uses the stated preference method to analyze demands in the IT communications market and provide product and price strategies to Internet service providers. For this, I divide the market into two segments, “owning a computer” and “without a computer” group...

This paper is an empirical study to the effects of economic outcomes on party choice for the Netherlands. In the first part of the paper we employ a multinomial logit model to examine the links between voters' characteristics and party choice. The results suggest that there are long-run movements in party choice which are unlikely be the result of changing economic outcomes. In the second part,...

Group-based Trajectory Modeling (GBTM) is applied to the citation curves of articles in six journals and to all citable items in a single field of science (Virology, 24 journals), in order to distinguish among the developmental trajectories in subpopulations. Can highly-cited citation patterns be distinguished in an early phase as “fast-breaking” papers? Can “late bloomers” or “sleeping beautie...

This paper considers alternative means of rationing access to outdoor recreation areas, focussing on rock-climbing sites in Scotland. Such rationing is deemed increasingly important due to crowding and environmental externalities, yet cultural and practical considerations mean that a system of simple entry fees to mountain areas is unrealistic. We use a repeated nested multinomial logit model t...