Strong Gaussian approximations of product-limit and Quantile Processes for Strong mixing and censored data

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dc.creatorFakoor, V.
dc.creatorRad, N. Nakhaee
dc.date2008-12-16
dc.date.accessioned2026-07-07T12:13:04Z
dc.date.available2026-07-07T12:13:04Z
dc.descriptionIn this paper, we consider the product-limit quantile estimator of an unknown quantile function under a censored dependent model. This is a parallel problem to the estimation of the unknown distribution function by the product-limit estimator under the same model. Simultaneous strong Gaussian approximations of the product-limit process and product-limit quantile process are constructed with rate $O((\log n)^{-λ})$ for some $λ>0,$. The strong Gaussian approximation of the product-limit process is then applied to derive the laws of the iterated logarithm for product-limit process.
dc.descriptionSubmitted to the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0812.3038
dc.identifierhttp://arxiv.org/abs/0812.3038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210754
dc.subjectStatistics Theory
dc.titleStrong Gaussian approximations of product-limit and Quantile Processes for Strong mixing and censored data
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