In this paper, we propose a new approach to the test of elliptical symmetry based on theprojection pursuit (P.P.) technique, the number-theoretic method, skewness and kurtosis. Thelimiting null distributions of the new statistics are derived. The
In this paper the existence of discrete vector solutions with bounded second order quotientsfor the difference systems of nonlinear parabolic system is established by the fixed point technique,and then the absolute and relative stability for the
Two kinds of Schwarz type domain decomposition methods are introduced to solve thegeneral selfadjoint second order parabolic partial differential equstions, and the dependence ofconvergence rate of these algorithms on parameters of time-step and
A QP-free, truncated hybrid (QPFTH) method was proposed and developed in [6] forsolving sparse large-scale nonlinear programming problems. In the hybrid method, a truncatedNewton method is combined with the method of multiplier. In every iteratio
In [7], a general integer-valued time series model, the generalization of the model proposedby Al-Osh and Al..id[1], has been proposed. Its stationarity and spectral representation hasbeen investigated. In this paper, we make a further study of t
In this paper, we give some constructions of self-conjugate self-orthogonal diagonal Latinsquares (SCSODLS). As an application of such constructions we disproof the conjecture aboutSCSODLS and show that there exist SCSODLS of order V, whenever w=
We investigate the global attractor of damped sine-Gordon equation with homogeneousDirichlet boundary condition. We prove the existence of global attractor. Under some conditionson the parameters, we show the global attractor is zero-dimensional
In survival analysis, the Kaplan-Meter estimator plays a very important role, and its asymptotic properties have been studied by many authors. In recefit years, people find that someimportant statistics can be expressed as the integrals with resp
In this paper we prove the existence of global attractor for the generalized dissipative KdVequation on R, and give an upper bound for its Hausdorff and fractal dimensions.
