New capability indices for measuring the performance of a multidimensional machining process.

Highlights: [•] We propose three novel capability indices for multidimensional machining processes. [•] Consider the variances of machining results on different directions may not be equal. [•] The statistical properties of the point estimators for the new indices are derived. [•] The simulation results show that the new indices outperform the predecessors. [•] Two numerical examples further demonstrate the usefulness of our proposed indices. [ABSTRACT FROM AUTHOR]