In this paper a new framework for the study of measures of dispersion for a class of n-dimensional lists is proposed. The concept of monotonicity with respect to a sharpened-type order is introduced. This type of monotonicity, together with other well known conditions, allows to create a reasonable and general ambit where the notion of dispersion measure can be studied. Some properties are analized and relations with other approaches carried out by different authors on this subject are established....
Let φ: R → [0,∞) an integrable function such that φχ = 0 and φ is decreasing in (0,∞). Let τf(x) = f(x-h), with h ∈ R {0} and f(x) = 1/R f(x/R), with R > 0. In this paper we characterize the pair of weights (u, v) such that the operators Mf(x) = sup|f| * [τφ](x) are of weak type (p, p) with respect to (u, v), 1 < p < ∞.
Se dispone de dos o más series de datos, de las cuales al menos una no se conoce completamente. Se supone que las series se pueden modelizar con la hipótesis lineal; así como que existe alguna estructura de correlación entre ellas. Se desarrollan dos modelos para estimar los valores desconocidos de la(s) serie(s) de datos.
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