課程內容
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◎ Undergraduate |
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STAT 2020 Statistics (I) (3 Credits) This course will teach basic statistics, including distributions, estimation, testing hypotheses, etc. |
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STAT 2130 統計入門 (3 Credits) 簡介統計的意義及其應用、簡介古典機率與機率的發展歷史、資料的描述(敘述統計量)、機率的模式及分佈、統計檢定、迴歸分析、簡介實驗設計的原理、及抽樣方法的概念。 |
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STAT 2160 Statistics (II) ( 3 Credits) 延續上學期統計學一之課程,重點將放在統計的估計及檢定。 |
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STAT 2620 Introduction to Biostatistics (3 Credits)
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STAT 3875 Mathematical Statistics (3 Credits) 以機率論(MATH28100)為基礎,進一步介紹統計學(MATH28200)中各種統計方法的推論概念及理論。 |
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◎ Graduate |
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STAT 5020 Applied Probability Models (3 Credits) This course is intended as an introduction to elementary probability theory and stochastic processes. It is particularly well suited for students wanting to see how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. |
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STAT 5030 Stochastic Processes (3 Credits) This is a graduate level course in stochastic processes intended for students whose primary interest is its applications. The aim of this course is to provide a treatment of those topics in the theory of continuous-time stochastic processes. Brownian motion, stochastic integration and stochastic differential equations are the main topics in the course. Some supporting materials such as convergence concepts, conditional expectation, martingales, separability, continuity, ... will be reviewed when needed. |
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STAT 5110 Mathematical Statistics (4 Credits) 介紹統計方法的推論概念及理論。內容包含充分及完備統計量、指數族分佈、估計理論、貝氏理論、檢定理論等。此為統計所碩一的必修課。 |
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STAT 5140 Nonparametric Methods (3 Credits) 簡介無母數推論的統計方法,內容包含排列統計量、二樣本問題、線性秩檢定量、多樣本問題、獨立性與隨機性檢定、列連表分析。 |
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STAT 5191 Applied Multivariate Analysis (3 Credits) 簡介處理多維資料的統計模式與分析方法,內容包含多元常態分佈、Wishart分佈、Hotelling T統計量、可能比(likelihood ratio)檢定、線性模式、主因子分析、區別分析等。 |
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STAT 5210 Time Series Analysis (3 Credits) 簡介處理時間序列資料的統計模式與分析方法,內容包含線性平穩過程、ARIMA模式之性質、季節性模式、最佳線性預測、state-space 模式及Kalman filter、頻譜分析、及非線性隨機過程等。 |
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STAT 5230 Discrete Analysis (3 Credits) (1) Introduction (2) Two-dimensional tables (3) Logistic regression models (4) log-linear models for multiway tables (5) Model selection in log-linear and logistic models (6) Analysis for ordinal discrete data. |
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STAT 5330 Statistical Computing (3 Credits) (A) Statistical learning: regression, classification, regularization, cross-validation, Bootstrap, Jackknife tree-based method, support vector machines, unsupervised learning. |
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STAT 5350 抽樣理論 (3 Credits) 簡介常用的統計抽樣方法及其相關推論,內容包含簡單隨機抽樣法、分層隨機抽樣法、比值與迴歸推估法、集體抽樣法、多段集體抽樣法、系統抽樣法及multi-phase抽樣法等。 |
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STAT 5410 Linear Models (3 Credits) Introduction to basic statistical theory and applications in linear models. |
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STAT 5510 Experimental Design and Analysis (3 Credits) Experimental design is the branch of statistics which deals with the design and analysis of experiments. The goal of experimental design is to understand and/or improve a process (system). The methods of experimental design are widely used in the fields of agriculture, medicine, high-tech industry, biology, marketing research, and etc. |
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STAT 5550 Quality Engineering (3 Credits) 簡介線上(on-line)與離線(off-line)之品質控制方法,內容包含田口式品管、主效果與變異效果之決定等。 |
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STAT 5560 Quality Control System (3 Credits) The course will introduce elementary statistical process control techniques which include various control charts and related statistical theory. |
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STAT 5570 可靠度分析 (3 Credits) 簡介可靠度之模式及其相關推論,內容包含系統結構、系統可靠度、倖存模式、可靠度之具氏推論等。 |
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STAT 5620 生物晶片統計分析專題 (3 Credits) 簡介微晶片資料分析與相關生物資訊統計方法,內容包含生物資訊資料庫、實驗設計,微晶片資料前置處理與標準化、多重檢定,資料分類與統計遺傳學之相關主題。 |
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STAT 5630 Statistics in Genetics (2 Credits) Current biological and medical studies make serious use of data from various high-throughput genomic experiments. In addition to those generated in specific research projects, there are massive valuable data in the public domain. These data presents challenges to the science community. The statistical methods discussed in this course will allow the students to handle such data related to genetic studies. In addition to basic molecular genetics, genotyping technologies and classical statistical genetics, we will emphasize statistical approaches to genome-wide association studies (GWAS) and its follow-up functional studies. These include methods to detect hidden population substructure, multiple testing issues, eQTL and pathway analysis. |
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STAT 5631 統計遺傳學二 (3 Credits)
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STAT 5632 統計學在基因體研究之應用Ⅰ (3 Credits) 簡介基因體研究中所需之統計方法,包括:(1) DNA序列分析、蛋白質序列分析所用的機率模型及統計方法,如隨機過程中的布瓦松過程(Poisson Process)、馬可夫鏈、隱藏馬可夫模型等。(2)演化模型、演化樹分析中的機率模型及統計方法。(3)微陣列基因表達分析之統計方法及網絡分析。(4)全基因組關聯分析。 |
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STAT 5635 遺傳及基因體研究之分析方法專題 (3 Credits) 介紹人類遺傳學中ㄧ些統計分析方法,特別是有關疾病遺傳基因的研究。 |
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STAT 5910 Seminar (2 Credits)
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STAT 6110 Statistical Inference (博) (3 Credits) 課程內容包含充分性統計量、不偏估計、估計量之有效性、最大概似估計量、貝氏與minimax估計量、估計量之equivariant性質、假設檢定、信賴區間與可容區間等,此為統計所博一的必修課。 |
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STAT 6300 長期資料分析 (3 Credits)
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STAT 6610 倖存分析 (3 Credits)
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STAT 6681 多階層隨機化實驗之設計與分析 (專題) (3 Credits)
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STAT 6910 Practicing Statistics (2 Credits) 處理校內、外統計數據及問題之諮詢與分析,藉以訓練同學處理實際資料數據的實務經驗。 |
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STAT 7010 Probability Theory (Ph.D) (3 Credits) This course is an introduction to probability theory covering: measure and integration theory, laws of large numbers, central limit theorem, martingale, and Brownian motion. |
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STAT 7030 高等多變量分析 (3 Credits) 此課程為應用多變量分析(STAT 5191)之進階課程,著重於多變量分析之理論。 |
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STAT 7500 批次控制專題 (3 Credits)
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STAT 7501 無母數曲線估計專題 (3 Credits)
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STAT 7560 生物多樣性統計專題 (3 Credits)
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