Computation of the Distribution of the Sum of Independent Negative Binomial Random Variables

The distribution of the sum of negative binomial random variables has a special role in insurance mathematics, actuarial sciences, and ecology. Two methods to estimate this distribution have been published: a finite-sum exact expression and a series expression by convolution. We compare both methods...

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Bibliographic Details
Main Authors: Marc Girondot, Jon Barry
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Mathematical and Computational Applications
Subjects:
Online Access:https://www.mdpi.com/2297-8747/28/3/63