The Characterization of Infinite Divisibility of Compound Negative Binomial Distribution as the Sum of Exponential Distribution

The sum of random variables that are identical and independent from an exponential distribution creates the compound distribution. It is called negative binomial as when number added follows This distribution’s characteristic function established by using mathematical analysis methods, included its uniform continuity property. function's parametric curves never disappear complex plane, which means it a positively defined function. Another property shows this one infinitely divisible