Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2006.03.01
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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].

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References

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  1. On the Nonparametric Mean Residual Life Estimator in Length-biased Sampling vol.44, pp.3, 2015, https://doi.org/10.1080/03610926.2012.748328
  2. Life expectancy of a bathtub shaped failure distribution vol.51, pp.3, 2010, https://doi.org/10.1007/s00362-008-0148-x