New metrics for weak convergence of distribution functions.

Título inglés	New metrics for weak convergence of distribution functions.
Título español	Nuevas métricas para la convergencia débil de funciones de distribución.
Autor/es	Taylor, Michael D.
Organización	Dep. Math. Univ. Cent. Florida, Orlando (Florida), Estados Unidos
Revista	0210-7821
Publicación	1985, 9 (1): 5-17, 8 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Sibley and Sempi have constructed metrics on the space of probability distribution functions with the property that weak convergence of a sequence is equivalent to metric convergence. Sibley's work is a modification of Levy's metric, but Sempi's construction is of a different sort. Here we construct a family of metrics having the same convergence properties as Sibley's and Sempi's but which does not appear to be related to theirs in any simple way. Some instances are brought out in which the metrics have probabilistic interpretations.
Clasificación UNESCO	120203
Palabras clave español	Espacios métricos ; Convergencia débil ; Funciones de distribución ; Métrica
Código MathReviews	MR0823225
Código Z-Math	Zbl 0607.60004
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