Abstract: An equation of state of weakly correlative firing error is established to accurately calculate the kill probability of anti-aircraft artillery, and the recursive calculation formula of hit probability is deduced by strict mathematical deduction, that is, the recursive calculation formula of kill probability under 0-1 damage law. The result is accurate and gives the error bound of finite value, which can be used as the evaluation criterion of other models. Comparison with the existing methods indicates that the error model conversion method, including the national standard, has obvious deviation, and its deviation is more obvious for the multi-barrel anti-aircraft artillery. Key

Key words: anti-aircraftartillery, weakcorrelation, firingerror, killprobability, recursivemodel