Second?degree dominance has become a widely accepted criterion for ordering distribution functions according to social welfare. However, it provides only partial ordering, and may fail rank distributions that intersect. To intersecting functions, we propose general approach based on rank?dependent theory. This avoids making arbitrary restrictions or parametric assumptions about welfare allows r...

In this paper, a Bayesian approach is proposed for shift point detection in an inverse Gaussian distribution. In this study, the mean parameter of inverse Gaussian distribution is assumed to be constant and shift points in shape parameter is considered. First the posterior distribution of shape parameter is obtained. Then the Bayes estimators are derived under a class of priors and using variou...

We present examples for the calculation of the distribution and fragmentation functions using the representation in terms of non-local matrix elements of quark field operators. As specific examples, we use a simple spectator model to estimate the leading twist quark distribution functions and the fragmentation functions for a quark into a nucleon or a pion.

A common feature of survival data is the presence of censoring and non-normality. It is inappropriate to analyze survival data by the conventional statistical methods such as linear regression or logistic regression, because of the characteristics of the survival data. When censoring, survival time can’t be considered as a continuous variable. Linear regression, in which to compare mean time-to...

Current fragmentation in semiinclusive deep inelastic leptoproduction offers, besides refinement of inclusive measurements such as flavor separation and access to the chiral-odd quark distribution functions hq1(x) = δq(x), the possibility to investigate intrinsic transverse momentum of hadrons via azimuthal asymmetries. LEADING QUARK DISTRIBUTION FUNCTIONS In deep-inelastic leptoproduction (DIS...

Complicated potential structure formed at a constriction of positive column of a DC discharge with heated cathode in He at low discharge currents is investigated. According to the potential structure, electrons and ions are accelerated by the electric field and their energy distribution functions acquire multi humped shapes. Additional maximums on distribution functions quickly disappear due to...