Divisible statistics
Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 26 (1988), pp. 97-149
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We consider divisible statistics with values in locally compact Abelian groups. We describe the class of weak limits (including contigual alternatives) of distributions of divisible statistics. We give a survey of results for special schemes of divisible statistics: spacings, higher order spacings, coverings of a circle by random arcs, spacing-frequencies.
@article{INTV_1988_26_a1,
author = {\`E. M. Kudlaev},
title = {Divisible statistics},
journal = {Itogi nauki i tehniki. Seri\^a, Teori\^a vero\^atnostej. Matemati\v{c}eska\^a statistika. Teoreti\v{c}eska\^a kibernetika},
pages = {97--149},
year = {1988},
volume = {26},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTV_1988_26_a1/}
}
È. M. Kudlaev. Divisible statistics. Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 26 (1988), pp. 97-149. http://geodesic.mathdoc.fr/item/INTV_1988_26_a1/