We define united K-theory for real C*-algebras, generalizing Bousfield’s topological united K-theory. United K-theory incorporates three functors — real K-theory, complex K-theory, and self-conjugate K-theory — and the natural transformations among them. The advantage of united K-theory over ordinary K-theory lies in its homological algebraic properties, which allow us to construct a Künneth-ty...

In order to rapidly identify the source of water inrush in coal mine, and provide the theoretical basis for mine water damage prevention and control, fuzzy comprehensive evaluation model was established. The F statistics of water samples was normalized as the weight of fuzzy comprehensive evaluation for determining the source of water inrush in coal mine. The determination result of F statistic...

We study finite-size scaling of the roughness of signals in systems displaying Gaussian 1 f power spectra. It is found that one of the extreme value distributions, the Fisher-Tippett-Gumbel (FTG) distribution, emerges as the scaling function when boundary conditions are periodic. We provide a realistic example of periodic 1 f noise, and demonstrate by simulations that the FTG distribution is a ...

Abstract The expected apportionment of genetic diversity in diploid clonal organisms structured in numerous subpopulations is explored. Under the specific assumptions considered, corresponding, for instance, to clonal pathogens infecting a large number of hosts, the co-ancestry between individuals within subpopulations is the only nontrivial quantity. Thus the population structure can be fully ...

Species with undifferentiated sex chromosomes emerge as key organisms to understand the astonishing diversity of sex-determination systems. Whereas new genomic methods are widening opportunities to study these systems, the difficulty to separately characterize their X and Y homologous chromosomes poses limitations. Here we demonstrate that two simple F-statistics calculated from sex-linked geno...

Drosophila buzzatii is confined to reproducing in a well defined patchy environment consisting of rotting cactus cladodes which are ephemeral, permitting at most three generations. Flies emerging from such rots were used to estimate the additive genetic variance within rots and the genetic variance between rots for body size and also were electrophoresed to determine their genotypes at six poly...

MOTIVATION The parametric F-test has been widely used in the analysis of factorial microarray experiments to assess treatment effects. However, the normality assumption is often untenable for microarray experiments with small replications. Therefore, permutation-based methods are called for help to assess the statistical significance. The distribution of the F-statistics across all the genes on...

In this paper, our objective is to test the statistical hypothesis : ( ) ( ) for all against : ( ) ( ) 1 H F x F x x H F x F x o o o = ≠ for some , x where ( ) F x o is a known distribution function. In this study, a goodness of fit test statistics for Gumbel distribution based on Kullback-Leibler information is studied. The performance of the test under simple random sampling is investigated u...

Kamps (1995a,b) has introduced generalized order statistics as random variables having certain joint density function which includes as a special case the joint density functions of many models of ordered random variables. Let F be an absolutely continuous distribution function with density function f The random variables X 1 n m̃ k X n n m̃ k are called generalized order statistics based on F if...