What is non-parametric correlation? A non-parametric (or ordinal) correlation coefficient for two variables quantifies the extent to which there is, in the study sample, a consistent relationship between the values for the two variables. The correlation coefficient indexes the strength of the relationship found, from zero (no discernible relationship) to a maximum value of 1 (denoting a perfect...

We propose new positive definite kernels for permutations. First we introduce a weighted version of the Kendall kernel, which allows to weight unequally the contributions of different item pairs in the permutations depending on their ranks. Like the Kendall kernel, we show that the weighted version is invariant to relabeling of items and can be computed efficiently in O(n ln(n)) operations, whe...

Background and Objectives: This research study was conducted to determine the correlation between the clinicopathologic features and the outcome of membranous nephropathy. Materials and Methods: Data were retrospectively reviewed from all patients with a diagnosis of membranous nephropathy. Demographic, ...

background and objectives: this research study was conducted to determine the correlation between the clinicopathologic features and the outcome of membranous nephropathy. materials and methods: data were retrospectively reviewed from all patients with a diagnosis of membranous nephropathy. demographic, initial laboratory, and clinical findings were collected and the biopsy specimens were revie...

Some of the contributions of Chandrasekhar to the field of magnetohydrodynamics are highlighted. Particular emphasis is placed on the Chandrasekhar–Kendall functions that allow a decomposition of a vector field into rightand left-handed contributions. Magnetic energy spectra of both contributions are shown for a new set of helically forced simulations at resolutions higher than what has been av...

an array is said to converge to an element u when the ith marginal product converges to u\ an element is said to be infinitely divisible when it possesses a Jfeth root for each fee2. (A) There exists a continuous homomorphism A from the semigroup into the additive semigroup of nonnegative reals, such that A(u) = 0 if and only if u is the neutral element. (B) The set {u':u'\u} of factors of any ...

We show that the widely used Kendall tau correlation coefficient, and the related Mallows kernel, are positive definite kernels for permutations. They offer computationally attractive alternatives to more complex kernels on the symmetric group to learn from rankings, or learn to rank. We show how to extend these kernels to partial rankings, multivariate rankings and uncertain rankings. Examples...

We study the supersymmetry reach of the Tevatron in channels containing both isolated leptons and identified tau jets. In the most challenging case, where the tau branching ratios of the gauginos dominate, we find that searches for two isolated leptons, one identified tau jet and large amount of missing transverse energy have a much better reach than the classic clean trilepton signature. With ...

Previous work on the neutrino spectra from high energy sources has not included the tau neutrinos directly produced by the decays in the source. Here we consider the tau neutrino component and discuss how its inclusion modifies the expected neutrino spectra. We discuss implications for interpreting any observed tau neutrino component in TeV UHE events as evidence of νμ → ντ oscillations.