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A model is proposed to address issues on the precise background evaluationdue to the complex data structure defined by the delayed coincidence method,which is widely used in reactor electron-antineutrino oscillation experiments.In this model, the effects from the muon veto, uncorrelated random background,coincident signal and background are all studied with the analytical solutions,simplifying the estimation of the systematic uncertainties of signal efficiencyand accidental background rate determined by the unstable single rate. Theresult of calculation is validated numerically with a number of simulationstudies and is also applied and validated in the recent Daya Bayhydrogen-capture based oscillation measurement.

A Precise Calculation of Delayed Coincidence Selection Efficiency and Accidental Coincidence Rate