Rank correlation in astronomical statistics.

Rank Statistics in Biological Evolution

We present a statistical analysis of biological evolution processes. Specifically, we study the stochastic replication-mutation-death model where the population of a species may grow or shrink by birth or death, respectively, and additionally, mutations lead to the creation of new species. We rank the various species by the chronological order by which they originate. The average population Nk ...

Computational rank-based statistics

This review discusses two algorithms which can be used to compute rank-based regression estimates. For completeness, a brief overview of rank-based inference procedures in the context of a linear model is presented. The discussion includes geometry, estimation, inference, and diagnostics. In regard to computing the rank-based estimates, we discuss two approaches. The first approach is based on ...

Polynomial structures in rank statistics distributions

This paper deals with the classical problem of how to evaluate the joint rank statistics distributions for two independent i.i.d. samples from a common continuous distribution. It is pointed that these distributions rely on an underlying polynomial structure of negative binomial type. This property is exploited to obtain, in a systematic and unified way, various recursions, some well estabished...

Incidence of q statistics in rank distributions.

We show that size-rank distributions with power-law decay (often only over a limited extent) observed in a vast number of instances in a widespread family of systems obey Tsallis statistics. The theoretical framework for these distributions is analogous to that of a nonlinear iterated map near a tangent bifurcation for which the Lyapunov exponent is negligible or vanishes. The relevant statisti...

Spearman Rank Correlation Coefficient