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  • Statistics In Transition

 

Article | 06-July-2017

AN EXTENSION OF THE CLASSICAL DISTANCE CORRELATION COEFFICIENT FOR MULTIVARIATE FUNCTIONAL DATA WITH APPLICATIONS

The relationship between two sets of real variables defined for the same individuals can be evaluated by a few different correlation coefficients. For the functional data we have one important tool: canonical correlations. It is not immediately straightforward to extend other similar measures to the context of functional data analysis. In this work we show how to use the distance correlation coefficient for a multivariate functional case. The approaches discussed are illustrated with an

Tomasz Górecki, Mirosław Krzy´sko, Waldemar Ratajczak, Waldemar Woły´nski

Statistics in Transition New Series, Volume 17 , ISSUE 3, 449–466

Article | 26-May-2019

AN APPLICATION OF FUNCTIONAL DATA ANALYSIS TO LOCAL DAMAGE DETECTION

identify the frequency bands where the impulsivity is most marked (the so-called informative frequency bands or IFB). We propose the functional approach known in modern time series analysis to overcome these difficulties. We will process data sets as collections of random functions to apply techniques of the functional data analysis. As a result, we will be able to represent massive data sets through few real-valued functions and corresponding parameters, which are the eigenfunctions and eigen-values

Jacek Leśkow, Maria Skupień

Statistics in Transition New Series, Volume 20 , ISSUE 1, 131–151

Research paper | 31-October-2017

CLASSIFICATION PROBLEMS BASED ON REGRESSION MODELS FOR MULTI-DIMENSIONAL FUNCTIONAL DATA

Tomasz Górecki, Mirosław Krzyśko, Waldemar Wołyński

Statistics in Transition New Series, Volume 16 , ISSUE 1, 97–110

Research Article | 20-November-2017

AN APPLICATION OF FUNCTIONAL MULTIVARIATE REGRESSION MODEL TO MULTICLASS CLASSIFICATION

Mirosław Krzyśko, Łukasz Smaga

Statistics in Transition New Series, Volume 18 , ISSUE 3, 433–442

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