A Stein operator for the runs is derived as a perturbation of an operator for discrete Gibbs measure. Due to this fact, using perturbation technique, the approximation results for runs arising from identical and non-identical Bernoulli trials are derived via Stein’s method. The bounds obtained are new and their importance is demonstrated through an interesting application.

中文翻译：

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在离散Gibbs上测算运行的近似值

奔跑的Stein算子是离散Gibbs度量算子的扰动。由于这个事实，使用摄动技术，通过斯坦因的方法得出了来自相同和不相同的伯努利试验的运行的近似结果。获得的界限是新的，并且其重要性通过有趣的应用程序得到了证明。