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  • 1.
    Bonner, R.
    et al.
    Mälardalen University, Department of Mathematics and Physics.
    Mamchych, T.
    Statistical literacy and contemporary higher education2006In: Contemporary Problems of Science and Education: Proc. 7th International Conference, Simeiz, June 25 - July 2, 2006., 2006, p. 166-Conference paper (Other scientific)
  • 2.
    Bonner, Richard F.
    et al.
    Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.
    Mamchych, Tetyana I.
    RFB Consulting, Sweden.
    Classifying Households by the (Sobolev) Norms of their Electricity Consumption2014In: Energy Procedia, ISSN 1876-6102, E-ISSN 1876-6102, Vol. 61, p. 1870-1873Article in journal (Refereed)
    Abstract [en]

    Numerical time series, but especially periodic such, are characterized up to pertinent symmetries by families of norms. The electricity consumption by a household, recorded daily during a month’s time, say, may then be encoded in a sequence of numbers; for example, as follows: the mean daily consumption, the mean daily variation of the consumption, the variation of the variation, the variation of the variation of the variation, etc. Now, replacing each of these numbers by the digits 0, 1, or 2, to say that a number is “low”, “medium”, or “high”, in relation to a collection of households, one naturally partitions the collection by the strings of these three digits; the household labeled 102   has then medium daily consumption, low daily variation, but high variation of variation, etc. We generally discuss this innocent idea and examine it in three ways: by way of toy examples, through its mathematical model (in detail presented elsewhere) and by accordingly classifying some actual electricity consumption data.

  • 3.
    Bonner, Richard
    et al.
    Mälardalen University, Department of Mathematics and Physics.
    Mamchych, T.
    Can One Learn Too Much for One's Own Good?: Rational choice, learning, and their interplay2005In: Scientific Bulletin of The Wroclaw University of Economics, no 1064, p. 353-366Article in journal (Refereed)
    Abstract [en]

    Authors have considered a learning problem, which occurs when changes in the knowledge system of a firm (learning) alter its business objectives (preference). Grounds for evaluating learning may become known only after the learning. The article presents a review of current learning theories and the rational choice.

  • 4.
    Mamchych, Tetyana
    et al.
    Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Eastern European University, Lutsk, Ukraine.
    Wallin, Fredrik
    Mälardalen University, School of Business, Society and Engineering, Future Energy Center.
    Looking for Patterns in Residential Electricity Consumption2014In: Energy Procedia, ISSN 1876-6102, E-ISSN 1876-6102, Vol. 61, p. 1768-1771Article in journal (Refereed)
    Abstract [en]

    Residential electricity consumption is an important part of general energy use. Its detailed investigation, however, requires rich empirical data, here the data of Swedish households. The individual consumption is a time series of readings at certain time intervals (hourly, every ten minutes, or every minute, say). Series exhibit patterns, in terms of which they may be compared, and it is desirable to model similarity. Classical statistical methods (correlation, factor, and cluster analyses) are presently used for this purpose; they have the advantage of being more explicit than the techniques of adaptive data analysis that may recently have become excessively popular. The present work is methodological, preceding any massive statistical analyses. Factor analysis allowed describing individual styles in terms of time intervals (during a day) of maximal variability. Cluster analysis was used for finding groups of days with similar patterns; the obtained clusters can help interpreting the results of other methods. Comparing two households requires comparing two sets of time series; correlation analysis quantified the similarity between them.

  • 5.
    Mamchych-Mitkalik, Tetyana
    et al.
    Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Eastern European Lesya Ukrainka Natl Univ, Lutsk, Ukraine.
    Wallin, Fredrik
    Mälardalen University, School of Business, Society and Engineering, Future Energy Center.
    Stability of patterns in residential electricity consumption2015In: Energy Procedia, ISSN 1876-6102, E-ISSN 1876-6102, Vol. 75, p. 2738-2744Article in journal (Refereed)
    Abstract [en]

    The problems of predicting and of pricing residential electricity consumption are closely related to the technical problem of the term of stability of pattern. Indeed, the general meaning of the word "pattern" would normally imply an assumption of stability, and here we attempt quantifying this notion: from being specific to some measurement data, to being characteristic of a household. Our working objective is to assess the stability of electricity consumption by selected Swedish households, and our main statistical instrument is a specially-devised coefficient of auto-similarity. Households are represented by sequences of readings of energy consumption, spaced at equal time intervals. (C) 2015 Published by Elsevier Ltd.

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