| Abstract [eng] |
Information theory is a branch of mathematical theory that encompasses the directions of probability and mathematical statistics. The aim of this work is to investigate how Kullbak-Leibler information is related to the testing of statistical hypotheses. Several goals were set to achieve the goal. The first goal - to learn about the information theory, where Kullbak-Leibler information is applied in the test of statistical hypotheses. After doing so, identify the procedural steps for applying the polynomial distribution of Kullbak-Leibler information to test statistical hypotheses and show how the application of Kullbak-Leibler information tests simple and complex polynomial distribution statistical hypotheses by illustrating the procedures with real data. Since the binomial and polynomial distributions are related, it was decided to show how to apply the procedural steps of Kullbak-Leibler information for a polynomial distribution to test simple and complex statistical hypotheses of a binomial distribution. The obtained results are illustrated with specific data. |
