Counting by Weighing: An Approach Using Renewal Theory

Abstract

Renewal theory and Bayesian decision theory are used to solve a problem related to counting a large number of items by weighing them. Specifically, a batch is to be obtained containing a given number of items by adding items until their total weight reaches a critical value that can depend on the results of a preliminary sample. Furthermore, the optimal sample size for this preliminary sample is to be determined. The distribution of individual weights is assumed to be normal.

Key Words:

• Bayesian decision theory
• Sample size determination