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stat.OT2018
A Constructive Algebraic Proof of Student's Theorem
Yiping Cheng
Student's theorem is an important result in statistics which states that for normal population, the sample variance is independent from the sample mean and has a chi-square distrib…
stat.OT2017
A Mathematically Sensible Explanation of the Concept of Statistical Population
Yiping Cheng
In statistics education, the concept of population is widely felt hard to grasp, as a result of vague explanations in textbooks. Some textbook authors therefore chose not to mentio…