New non-parametric regression procedures called BSML (Basis Selection from Multiple Libraries) are proposed in this paper for estimating a complex function by a linear combination of basis functions adaptively selected from multiple libraries. Different classes of basis functions are chosen to model various features of the function, e.g. truncated constants can model change points in the functi...

Learning about fractions is a critical step on the path to high school mathematics, yet many children never master basic knowledge such as fraction arithmetic procedures. To better understand these difficulties, the present study describes a computational model of fraction arithmetic problem solving. The model demonstrates that the majority of empirically observed errors over all four arithmeti...

1. Andrews D. W., Lu B. [2001], Consistent model and moment selection procedures for GMM estimation with application to dynamic panel data models, Journal of Econometrics, 101 (1): 123–164. Google Scholar

Resampling procedures for fitting models and model selection are considered in this article. Nonparametric goodness-of-fit statistics are generally based on the empirical distribution function. The distribution-free property of these statistics does not hold in the multivariate case or when some of the parameters are estimated. Bootstrap methods to estimate the underlying distributions are disc...

The aim of the present paper is to formalize semantic-directed lexical selection by virtue of frame-based semantic inference capability built in the CFL representation language. The DG model of paraphrasing semantic descriptions can explicate logical process of knowledge-based sentence generation excluding any particular procedures for lexical selection or syntax structure generation. In additi...

Regression is one of the favorite tools in applied statistics. However, misuse and misinterpretation of results from regression analysis are common in biomedical research. In this paper we use statistical theory and simulation studies to clarify some paradoxes around this popular statistical method. In particular, we show that a widely used model selection procedure employed in many publication...

We study the problem of aggregation of M arbitrary estimators of a regression function with respect to the mean squared risk. Three main types of aggregation are considered: model selection, convex and linear aggregation. We define the notion of optimal rate of aggregation in an abstract context and prove lower bounds valid for any method of aggregation. We then construct procedures that attain...

This article examines how Europarties selected lead candidates (Spitzenkandidaten) for the 2019 European Parliament elections, and investigates why these parties changed or did not change their procedural processes compared with 2014 election. As external internal factors incentivized to democratize selections, main hypothesis expects more inclusive procedures in 2019. The empirical analysis se...