Bayesian multiple linear regression method for simultaneous determination of Cherenkov counting efficiencies of Sr, Sr and Y from mixed standard including Sr and Sr.

In this study, Bayesian linear regression was employed to simultaneously determine Cherenkov counting efficiencies for ⁸⁹Sr, ⁹⁰Sr, and ⁹⁰Y from a mixed standard. Among the two codes utilized, PyMC3 and Stan, the latter produced more reliable posterior distributions for the three efficiencies, particularly for ⁹⁰Sr which is challenging to estimate due to its minimal activity changes. Validation showed excellent agreement between the activities determined with Stan's estimates and the certified activities, implying the applicability of the Bayesian approach.