We consider M-estimators and derive supremal-inequalities of exponential-or polynomial type according as a boundedness- or a moment-condition is fulfilled. This enables us to derive rates of r-complete convergence and also to show r-qick convergence in the sense of Strasser.

翻译：我们考虑M估计，并根据有界性条件或矩条件的满足情况，推导出指数型或多项式型的极大值不等式。这使我们能够推导出r-完全收敛的速率，并证明在Strasser意义下的r-快速收敛。