On Discrete Harmonic Distributions related with Harmonic Mean Random Variable

Abstract

The main purpose of this paper is to introduce the concept of harmonically distributed discrete random variable. We define probability mass function such as harmonic mass function, exponential harmonic mass function, natural logarithmic  harmonic mass function and their associated cumulative distribution functions. Existence the distribution is shown with some examples. Finally harmonic mass function is used to solve a run-time problem and a capacitance problem as an application of the distribution  in the field of electrical engineering.