On some relations which tie exponential and geometrical record random variables

Abstract

Different record achievements are fixed in many domains of the human activities. Very often this process happens with some rate of discretization (up to seconds, up to meters or up to thousands of individuals) of the observed results. On the examples of exponential and geometrical distributions it is shown how such type of the transition from continuous to discrete distributions can vary the numbers of the record values in the corresponding sequences of the random variables.