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Ordinal allocation

Social Choice and Welfare, 2020
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Christopher P. Chambers   +1 more
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Ordinal Forests

Journal of Classification, 2019
The prediction of the values of ordinal response variables using covariate data is a relatively infrequent task in many application areas. Accordingly, ordinal response variables have gained comparably little attention in the literature on statistical prediction modeling.
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Answering Ordinal Questions with Ordinal Data Using Ordinal Statistics

Multivariate Behavioral Research, 1996
It is argued that ordinal statistical methods are often more appropriate than their more common counterparts for three types of reasons: Conclusions from them will be unaffected by monotonic transformation of the variables, they are statistically more robust when used appropriately, and they often correspond more closely to the goals of the ...
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Ordinal computations

Mathematical Structures in Computer Science, 2006
The notion of ordinal computability is defined by generalising standard Turing computability on tapes of length $\omega$ to computations on tapes of arbitrary ordinal length. The fundamental theorem on ordinal computability states that a set $x$ of ordinals is ordinal computable from ordinal parameters if and only if $x$ is an element of the ...
Peter Koepke, Martin Koerwien
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Theories and Ordinals: Ordinal Analysis

2007
How do ordinals gauge the strength and computational power of theories and what kind of information can be extracted from this correlation? This will be the guiding question of this talk. The connection between ordinal representation systems and theories is established in ordinal analysis, a central area of proof theory. The origins of proof theory can
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On projective ordinals

Journal of Symbolic Logic, 1974
We study in this paper the projective ordinals , where = sup{ξ: ξis the length of a Δn1prewellordering of the continuum}. These ordinals were introduced by Moschovakis in [8] to serve as a measure of the “definable length” of the continuum. We prove first in §2 that projective determinacy implies , for all even n > 0 (the same result for odd n is ...
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