Journal of Jishou University(Natural Sciences Edition) ›› 2013, Vol. 34 ›› Issue (4): 19-22.DOI: 10.3969/j.issn.1007-2985.2013.04.005

• Mathematics • Previous Articles     Next Articles

r-th Consistency of the Density Function for Strong Mixing Censored Data


  1. (College of Science,Guilin University of Technology,Guilin 541006,Guangxi China)
  • Online:2013-07-25 Published:2013-07-18

Abstract: This paper discusses the r-th (r>d) consistency of the kernel estimation for a density function f(x) based on censored data from α-mixing sequence.For practical purposes,the estimation of the hazard function λ(x) is given,and the r-th consistency is proved.

Key words: &alpha, -mixing sequence, censored data, kernel estimation, r-th consistency

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