Representation with Index Matrices Discrete Random Variables
Stela Todorova · American Journal of Applied Mathematics · 2025
With the Theory of probabilities it is made a mathematical description of a finite set of probability trials with random outcomes. Basically, the results from a given laboratory experiment are illustrated with tables, diagrams, ordinary matrices. Index matrices are a new approach of presenting and analyzing information of data. In this article the author will represent with Index Matrices, which elements are real numbers; function-type of elements, with which results of formulas with different parameters can be calculated and predicates, with which can be checked if a random outcome meets certain conditions according to a finite set of interval order. In order the data that we analyze to be more precisely verified, is not only ordered sequentially, but also a result of calculation of parameters from a given diapason at equal intervals. In this way the number of desired outcomes can be compared with not desired outcomes and with the data from different experiments, which can result in prediction of alternative values in the future. An illustration with Excel is described with an Index matrix, which elements are voltages between 0 and a value read by analog pin of Arduino Uno board, which is also presented with X and Y axis of a Chart diagram.