in this paper, the geometric distribution is considered. the means, variances, and covariances of its order statistics are derived. the fisher information in any set of order statistics in any distribution can be represented as a sum of fisher information in at most two order statistics. it is shown that, for the geometric distribution, it can be further simplified to a sum of fisher informatio...

We argue that the concept of wavefunction reduction should be introduced to standard quantum mechanics in any physical processes where effective reduction of wavefunction occurs, as well as in the measurement processes. With this, we make a conjecture that particles obey some generalized statistics that contains the quantum and classical statistics as special cases, where the level of overlappi...

SUMMARY Maximally selected statistics for the estimation of simple cutpoint models are embedded into a generalized conceptual framework based on conditional inference procedures. This powerful framework contains most of the published procedures in this area as special cases, such as maximally selected chi(2) and rank statistics, but also allows for direct construction of new test procedures for...

We link, by means of a semiclassical approach, the fractional statistics of particles obeying the Haldane exclusion principle to the Tsallis statistics and derive a generalized quantum entropy and its associated statistics. PACS number(s): 05.20.-y, 05.30.-d, 05.40.+j, 05.60.+w The generalized non-extensive statistics and the fractional exclusion statistics have excited great interest because o...