We explore extremal properties of a family of skewed distributions extended from the multivariate normal distribution by introducing a skewing function π . We give sufficient conditions on the skewing function for the pairwise asymptotic independence to hold. We apply our results to a special case of the bivariate skew-normal distribution and finally support our conclusions by a simulation stud...

hail phenomenon is one of the hazardous weather phenomena that can make the highest amount of damage to farms, gardens, cars, rooftops, etc. in a very short time (a few minutes), depending on the diameter of the particles. one of the best ways to study this devastating climatic phenomenon is the use of atmospheric instability indices. the indices which are calculated with the help of radiosonde...

The study of representations of aane Hecke algebras has led to a new notion of shapes and standard Young tableaux which works for the root system of any nite Coxeter group. This paper is completely independent of aane Hecke algebra theory and is purely combinatorial. We deene generalized shapes and standard Young tableaux and show that these new objects coincide with the classical ones for root...

Generalized n-gons were introduced by Tits in a famous work on triality [20] of 1959, in order to propose an axiomatic and combinatorial treatment for semisimple algebraic groups (including Chevalley groups and groups of Lie type) of relative rank 2. They are the central rank 2 incidence geometries, and the atoms of the more general “Tits-buildings.” If the number of elements of a generalized n...

Correspondence: [email protected] Graduate School of Science and Engineering, Yamaguchi University, 755-8611 Une, Japan Full list of author information is available at the end of the article Abstract In this paper, we give a Heisenberg type or a Schrödinger-type uncertainty relation for generalized metric adjusted skew information or generalized metric adjusted correlation measure. These...

Recent work on parallel joins and data skew has concentrated on algorithm design without considering the causes and chara.cteristics of data. skew itself. Existming ana.lyt,ic models of skew do not cont.ain enough informat,ion to fully describe data skew in parallel implementations. Because the assumptions made about the nature of skew vary between authors, it is almost impossible to make valid...

The empirical distribution of daily returns from financial market variables such as exchange rates, equity prices, and interest rates, is often skewed, having one heavy, and one semiheavy, or more Gaussian-like tail. The NIG distribution, that has two semi-heavy tails, models skewness rather well, but only in cases where the tails are not too heavy. On the other hand, the skew Student’s t-distr...

In many real applications related with Geostatistics, medical imaging and material science, the real observations have asymmetric, and heavy-tailed multivariate distributions. These observations are spatially correlated and they could be modelled by the skew random fields. However, certain statistical analysis problems require giving analytical expectations of some integral geometric characteri...

The DNA strands in most prokaryotic genomes experience strand-biased spontaneous mutation, especially C-->T mutations produced by deamination that occur preferentially in the leading strand. This has often been invoked to account for the asymmetry in nucleotide composition, typically measured by GC skew, between the leading and the lagging strand. Casting such strand asymmetry in the framework ...