A Bayesian model for measurements by counting

Counting processes occur very often in several scientific and technological problems. The concept of numerousness and, consequently, the counting of a number of items are at the base of many high-level measurements, as well as in everyday life applications. The occurrence of under/over-counting errors is real and needs to be addressed. The present work proposes a Bayesian model able to incorporate prior information on the actual number of items to be counted and the available knowledge on the counting errors.