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stat.ME2023
Unbiased analytic non-parametric correlation estimators in the presence of ties
Landon Hurley
An inner-product Hilbert space formulation is defined over a domain of all permutations with ties upon the extended real line. We demonstrate this work to resolve the common first…
stat.ME2023
Studentising Kendall's Tau: U-Statistic Estimators and Bias Correction for a Generalised Rank Variance-Covariance framework
Landon Hurley
Kemeny (1959) introduced a topologically complete metric space to study ordinal random variables, particularly in the context of Condorcet's paradox and the measurability of ties.…
stat.ME2023
An unbiased non-parametric correlation estimator in the presence of ties
Landon Hurley
An inner-product Hilbert space formulation of the Kemeny distance is defined over the domain of all permutations with ties upon the extended real line, and results in an unbiased m…