2013/08/31 by Zhengjun Cao, Lihua Liu, Cao, Zhengjun +1
Computer Science · Engineering · Mathematics · #Discrete Mathematics (cs.DM) #Diverse Scientific and Engineering Research #FOS: Computer and information sciences #Probability and Statistical Research #Statistics Education and Methodologies #cs.DM
paper · pdf · doi:10.48550/arxiv.1309.1432
arxiv created 2013/08/31 · openalex publication_date 2013/08/31 · arxiv updated 2013/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Suppose that in the four tests Alice's scores are 90, 95, 85, 90, and Bob's scores are 85, 95, 90, 90. How to evaluate their scores? In this paper, we introduce the concept of ordered probability mass function which can be used to find a probability mass function with smaller variance. More interestingly, we can use it to distinguish sequences of positive numbers statistically.