Assume that we are given a set of N rankings, a.k.a linear orderings on n objects. For instance, the rankings represent the individual preferences of a panel of N judges, each presented with the same set of n candidate objects. The problem of rank aggregation or of finding a consensus ranking, is formulated as finding a single ranking π0 that best agrees with all the N rankings. Kendall’s corre...

This study aims to investigate the trend of water-level changes in lakes (Lake Tuz and Lake Bey?ehir) sinkholes (Timra? K?zören) Konya Closed Basin located Turkey. Water-level these were investigated along with meteorological parameters (precipitation, temperature, evaporation) groundwater trends that indicate climate region. Several statistical tests can be used determine significance hydrolog...

We consider random permutations which are spherically symmetric with respect to a metric on the symmetric group Sn and are consistent as n varies. The extreme infinitely spherically symmetric permutation-valued processes are identified for the Hamming, Kendall-tau and Caley metrics. The proofs in all three cases are based on a unified approach through stochastic monotonicity. MSC:

Kendall shape spaces are a widely used framework for the statistical analysis of data arising from many domains, often requiring parallel transport as tool to normalise time series or gradient in optimisation procedures. We present an implementation pole ladder, algorithm compute based on geodesic parallelograms and compare it methods by integration ordinary differential equation.

Kernel methods provide an attractive framework for aggregating and learning from ranking data, and so understanding the fundamental properties of kernels over permutations is a question of broad interest. We provide a detailed analysis of the Fourier spectra of the standard Kendall and Mallows kernels, and a new class of polynomial-type kernels. We prove that the Kendall kernel has exactly two ...

The Laboratory Standardization Panel of the National Cholesterol Education Program recommends that cholesterol method accuracy ideally be within 3% of the true value determined by the Abell-Kendall Reference Method, a component of the National Reference System for Cholesterol. As one of the Abell-Kendall network laboratories established to facilitate cholesterol standardization, the approach we...