Metric Methods for Analyzing Partially Ranked Data

@inproceedings{Critchlow1986MetricMF,
  title={Metric Methods for Analyzing Partially Ranked Data},
  author={Douglas E. Critchlow},
  year={1986}
}
  • D. Critchlow
  • Published 6 January 1986
  • Mathematics, Computer Science
I. Introduction and Outline.- II. Metrics on Fully Ranked Data.- A. Permutations: Some Important Conventions.- B. Metrics on Permutations: Discussion and Exampl es.- C. The Requirement of Right-Invariance.- III. Metrics on Partially Ranked Data: The Case where Each Judge Lists His k Favorite Items Out of n.- A. The Coset Space Sn/Sn-k.- B. The Hausdorff Metrics on Sn/Sn-k.- C. The Fixed Vector Metrics on Sn/Sn-k.- IV. Metrics on Other Types of Partially Ranked Data.- A. The Coset Space Sn/S… 
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References

The distribution of a linear combination of 2 random variables
pr(Q<c). (2) The algorithm is based on the method of Davis (1973) involving the numerical inversion of the characteristic function. It will yield results for most linear combinations that are likely