Distributions

Data on intra-specific variability for seed oil content, physical characteristics and fatty acid composition inCucurbita moschataandCucurbita argyrospermaare lacking in the scientific literature. We examined 528 genebank accessions ofC. moschataand 166 accessions ofC. argyrosperma– which included members of both subsp.argyrospermaand subsp.sororia– for seed oil content, oil physical characteristics and fatty acid composition. The oil of both species had near-identical viscosities, viscosity indices, colour and oxidative stabilities while the oil ofC. argyrospermahad a slightly higher pour point, cloud point, percentage of free fatty acids and acid value when compared withC. moschata. Mean oil content values of the two species were similar at 28.7 ± /2.7 and 29.8 ± /2.6% forC. moschataandC. argyrosperma, respectively. The mean seed oil content ofC.argyrospermasubsp.argyrospermavar.palmeri(32.1%) was significantly higher than that of the other taxa examined. The average (mean) percent...

In DNA profile analysis, uncertainty arises due to a number of factors such as sampling error, single bands and correlations within and between loci. One of the most important of these factors is kinship: criminal and innocent suspect may share one or more bands through identity by descent from a common ancestor. Ignoring this uncertainty is consistently unfair to innocent suspects. The effect is usually small, but may be important in some cases. The report of the US National Research Committee proposed a complicated, ...

— For a certain class of functions, the distribution of the function values can be calculated in the trellis or a sub-trellis. The forward/backward recursion known from the BCJR algorithm [1] is generalized to compute the moments of these distributions. In analogy to the symbol probabilities, by introducing a constraint at a certain depth in the trellis we obtain symbol moments. These moments are required for an efficient implementation of the discriminated belief propagation algorithm in [2], and can furthermore be utilized to compute conditional entropies in the trellis. The moment computation algorithm has the same asymptotic complexity as the BCJR algorithm. It is applicable to any commutative semi-ring, thus actually providing a generalization of the Viterbi algorithm [3].

The classical limit of the scaled elliptic algebra A¯h,η ( ̂ sl2) is investigated. The limiting Lie algebra is described in two equivalent ways: as a central extension of the algebra of generalized automorphic sl2 valued functions on a strip and as an extended algebra of decreasing automorphic sl2 valued functions on the real line. A bialgebra structure and an infinite-dimensional representation in the Fock space are studied. The classical limit of elliptic algebra Aq,p ( ̂ sl2) is also briefly presented.

In classical financial theory, the marginal distribution of returns is supposed idiosyncratic and should have no relation with expected returns. However, in certain cases the deviations from normality of the returns on an asset or portfolio may signal properties associated with a risk premium. On a large and diverse database we show that, in time of crises, a negative premium is associated with deviations from normality in hedge funds returns. We postulate that this can be explained by the fact that non-Gaussian distributions tend to signal funds which make large use of derivatives. These funds will therefore present a non linear dependence structure with the market, allowing them to benefit from bull periods and resist well bear markets.

The collaboration network is an example of a social network which has both non-trivial temporal and spatial dependence. Based on the observations of collaborations in Physical Review Letters, a model of collaboration network is proposed which correctly reproduces the time evolution of the link length distributions, clustering coefficients, degree distributions and assortative property of real data to a large extent.