preprint · arXiv (Cornell University) · 2013

Ordered Probability Mass Function

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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 this paper

APA 7

Cao, Z., & Liu, L. (2013). Ordered Probability Mass Function. arXiv (Cornell University). https://doi.org/10.48550/arxiv.1309.1432

MLA 9

Cao, Zhengjun, and Lihua Liu. “Ordered Probability Mass Function.” arXiv (Cornell University), 2013, https://doi.org/10.48550/arxiv.1309.1432.

Chicago

Cao, Zhengjun, and Lihua Liu. 2013. “Ordered Probability Mass Function.” arXiv (Cornell University). https://doi.org/10.48550/arxiv.1309.1432.

Harvard

Cao, Z. and Liu, L. (2013) ‘Ordered Probability Mass Function’, arXiv (Cornell University). Available at: https://doi.org/10.48550/arxiv.1309.1432.

BibTeX

@misc{cao2013ordered,
  title = {{Ordered Probability Mass Function}},
  author = {Cao, Zhengjun and Liu, Lihua},
  journal = {arXiv (Cornell University)},
  year = {2013},
  doi = {10.48550/arxiv.1309.1432}
}

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