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Some limit theorems for ratios of order statistics from uniform random variables

In this paper, we study the ratios of order statistics based on samples drawn from uniform distribution and establish some limit properties such as the almost sure central limit theorem, the large deviation principle, the Marcinkiewicz-Zygmund law of large numbers and complete convergence.

Detalles Bibliográficos
Autores principales: Xu, Shou-Fang, Miao, Yu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5705782/
https://www.ncbi.nlm.nih.gov/pubmed/29213200
http://dx.doi.org/10.1186/s13660-017-1569-7