What are the essential stat courses for prospective stat PhD applicants?

Hi again. Can anyone specify the essential statistics courses for prospective statistics PhD applicants? I'm thinking about machine learning/data mining/probability as my field of development.

  

1. 数学课
Analysis & Linear Algebra (不同学校里这两门课难度不一样，学数学系水平的。Linear Algebra像英语一样常用)
Real Analysis
Probability (measure based prob is preferred)
(至于说Complex Analysis, Functional Analysis, Abstract Algebra等等不一定有直接的作用，但是有助于培养数学的感觉，故不列入essential list)

2. 统计课
Mathematical Statistics
Multivariate Statistics
Bayesian Statistics
Regression
Stochastic Process
Machine Learning (讲一些基本的machine learning算法，比如像The Elements of Statistical Learning里写的那些)

3. 计算课
Convex Optimization
Matrix Computation (这两门非常非常常用, 特别是machine learning)

4. 编程
R
C++
Matlab

5. Research

本科能学明白以上几门课应该够了

pigonline 发表于 2016-2-10 13:59
1. 数学课
Analysis & Linear Algebra (不同学校里这两门课难度不一样，学数学系水平的。Linear Algebra像 ...

Thanks a lot!