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http://dx.doi.org/10.4134/JKMS.2006.43.2.225

UNIFORM ASYMPTOTICS IN THE EMPIRICAL MEAN RESIDUAL LIFE PROCESS  

Bae, Jong-Sic (Department of Mathematics and Institute of Basic Science Sungkyunkwan University)
Kim, Sung-Yeun (Department of Mathematics and Institute of Basic Science Sungkyunkwan University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 225-239 More about this Journal
Abstract
In [5], Csorgo and Zitikis exposed the strong $uniform-over-[0,\;{\infty}]$ consistency, and weak $uniform-over-[0,\;{\infty}]$ approximation of the empirical mean residual life process by employing weight functions. We carry on the uniform asymptotic behaviors of the empirical mean residual life process over the whole positive half line by representing the process as an integral form. We compare our results with those of Yang [15], Hall and Wellner [8], and Csorgo and Zitikis [5].
Keywords
empirical mean residual life process; uniform law of large numbers; uniform central limit theorem; uniform law of the iterated logarithm;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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