Abstract: In this paper, we discuss the problem of “mathematical statistics and its engineering application” during the teaching process and the cultivation of innovative ability. Based on the inherent features of this course, we propose several teaching reform methods from three aspects of the teaching content, teaching mode and examination method. These reform methods are helpful to postgraduates' statistical thought, innovative thinking, and innovative practical ability. Thus, it can meet the requirements of improving the quality of postgraduates’ training in the new era and also provide effective reference for the teaching reform of other courses for engineering postgraduates.

Key words: Problem driven, Mathematical statistics, Blending teaching, Course contests