Nonparametric Estimation of a Cumulative Hazard Function with Right Truncated Data

  • Xu ZhangEmail author
  • Yong Jiang
  • Yichuan Zhao
  • Haci Akcin
Part of the ICSA Book Series in Statistics book series (ICSABSS)


The reverse-time hazard was routinely evaluated or modeled under the context of right truncation. However, this quantity does not have a natural interpretation. Based on the relation between the reverse-time and forward-time hazards, we developed the nonparametric inference for the forward-time hazard. We studied a family of weighted tests for comparing the hazard function between two independent samples. We showed the weak convergence properties and conduct the simulation studies to investigate the practical performances of the proposed variance estimators and tests. Finally, we analyzed the data set about AIDS incubation time to illustrate estimation and two-sample tests about the cumulative hazard function.


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Xu Zhang
    • 1
    Email author
  • Yong Jiang
    • 2
  • Yichuan Zhao
    • 3
  • Haci Akcin
    • 4
  1. 1.Center for Clinical and Translational SciencesUniversity of Texas Health Science CenterHoustonUSA
  2. 2.MetLife Inc.WhippanyUSA
  3. 3.Department of Mathematics and StatisticsGeorgia State UniversityAtlantaUSA
  4. 4.Department of Risk Management and InsuranceGeorgia State UniversityAtlantaUSA

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