Ordered Probability Mass Function
Discrete Mathematics
2013-09-06 v1
Abstract
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.
Cite
@article{arxiv.1309.1432,
title = {Ordered Probability Mass Function},
author = {Zhengjun Cao and Lihua Liu},
journal= {arXiv preprint arXiv:1309.1432},
year = {2013}
}