數理統計為統計系學生學習統計理論的核心課程，提供統計相關課程的理論根基，並且培養未來修習更高深與統計相關之課程的能力，下學期課程主題以統計推論為主，範圍包含：1. 隨機樣本：極限分配及其常態理論、順序統計量、生成隨機樣本技巧 2. 點估計量：最大概似法及其漸進理論、EM演算法、指數族 3. 點估計量之評比：完備充分統計量、MVUE 4. 檢定：NP引理、MP檢定、UMP檢定、MLR族、UMPU檢定、LR檢定。

Mathematical statistics is the core course for students in the Department of Statistics to learn theories of the statistical theory, providing the theoretical foundation of statistical-related courses, and cultivating the ability to practice higher-level and statistical-related courses in the future. The theme of the course in the next period is mainly statistical recommendations, and the scope includes: 1. Random samples: extreme allocation and its normal theory, sequence statistics, and generation of random samples 2. Point estimation measurement: maximum generalized method and its progressive theory, EM algorithm, and index family 3. Estimated measurement evaluation: Completed full measurement, MVUE 4. Confirmation: NP lemma, MP confirmation, UMP confirmation, MLR family, UMPU confirmation, LR confirmation.

1. Hogg RV, McKean JW, Craig AT (2013) Introduction to Mathematical Statistics (7/E), Pearson Prentice Hall.

1. Hogg RV, McKean JW, Craig AT (2013) Introduction to Mathematical Statistics (7/E), Pearson Prentice Hall.