Course Outline: (Click Icon to download !!) (Last update on: 16 March 2023)

Key facts for Summer 2023:

Introduction:

Statistics turns real data into science. It can also define rules to generate simulated "fake" data to understand nature. This course discusses both approaches of statistical analysis. Four themes are covered: (1) privacy protection, (2) stock price prediction, (3) trend inference of global temperature, and (4) cancer image data analysis. The problem in each theme is resolved by one advanced statistical methodology. The tools include randomized estimator, historical simulation, nonparametric trend estimation, and Kolmogorov–Smirnov test for distribution comparison. All topics are supplemented with computing laboratory sessions.

統計學將真實數據轉化為科學。它還可以定義規則來生成模擬的「假數據」以了解自然。本課程討論以上兩種統計分析的方法，並涵蓋四個大主題：（一）隱私保護、（二）股票價格預測、（三）全球氣溫趨勢和（四）癌症圖像數據分析。每個主題的問題都通過一種先進的統計方法來解決。這些工具包括隨機估計器、歷史模擬、非參數趨勢估計和用於分佈比較的Kolmogorov–Smirnov檢驗。所有主題都輔以計算實驗室課程。