Abstract

DELGADO ALVAREZ, Raúl. La integral de Henstock - Kurzweil en la enseñanza de la teoría de la probabilidad. Revista Varianza [online]. 2019, n.16, pp. 28-35. ISSN 9876-6789.

Abstract In this paper, the relationship between the cumulative distribution function and the probability function or the probability density function of a random variable is exposed, through the Henstock-Kurzweil integral, which is presented as a generalization of the integral of Riemann, Riemann-Stieltjes and that of Lebesgue, this relationship can be better understood with the second fundamental theorem of Calculus that has a more didactic interpretation through the integral HK, which also meets the required rigor, for understanding and evidence of the so-called limit theorems through convergence theorems, the integral of HK is very useful and understanding as the uniform convergence theorem shown in the present work.

Keywords : Distribution functions; Henstock-Kurzweil Integral; Second Fundamental Calculation Theorem; Uniform Convergence.