A Continuous Metric Scaling Solution for a
نویسندگان
چکیده
As a generalization of the classical Metric Scaling solution for a nite set of points, a countable set of uncorrelated random variables is obtained from an arbitrary continuous random variable X. The properties of these variables allow us to regard them as Principal Axes for X with respect to the distance function d(u; v) = p ju ? vj. Explicit results are obtained for uniform and negative exponential random variables.
منابع مشابه
A unique continuous solution for the Bagley-Torvik equation
In this paper the Bagley-Torvik equation as a prototype fractional differential equation with two derivatives is investigated by means of homotopy perturbation method. The results reveal that the present method is very effective and accurate.
متن کاملNew best proximity point results in G-metric space
Best approximation results provide an approximate solution to the fixed point equation $Tx=x$, when the non-self mapping $T$ has no fixed point. In particular, a well-known best approximation theorem, due to Fan cite{5}, asserts that if $K$ is a nonempty compact convex subset of a Hausdorff locally convex topological vector space $E$ and $T:Krightarrow E$ is a continuous mapping, then there exi...
متن کاملSome fixed point theorems for weakly subsequentially continuous and compatible of type (E) mappings with an application
In this paper, we will establish some xed point results for two pairs of self mappings satisfying generalized contractive condition by using a new concept as weak subsequential continuity with compatibility of type (E) in metric spaces, as an application the existence of unique common solution for a system of functional equations arising in system programming is proved.
متن کاملNumerical solution of linear control systems using interpolation scaling functions
The current paper proposes a technique for the numerical solution of linear control systems.The method is based on Galerkin method, which uses the interpolating scaling functions. For a highly accurate connection between functions and their derivatives, an operational matrix for the derivatives is established to reduce the problem to a set of algebraic equations. Several test problems are given...
متن کاملWeighted continuous metric scaling
Weighted metric scaling (Cuadras and Fortiana 1995b) is a natural extension of classic metric scaling which encompasses several well-known techniques of Euclidean representation of data, including correspondence analysis of bivariate contingency tables. A continuous version of this technique, following the trend initiated in (Cuadras and For-tiana 1993, 1995a) is applied to the study of several...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1994