On the comparison of cumulative hazard functions

Sangun Park, Seung Ah Ha

Research output: Contribution to journalArticlepeer-review


This paper proposes two distance measures between two cumulative hazard functions that can be obtained by comparing their difference and ratio, respectively. Then we estimate the measures and present goodness of t test statistics. Since the proposed test statistics are expressed in terms of the cumulative hazard functions, we can easily give more weights on earlier (or later) departures in cumulative hazards if we like to place an emphasis on earlier (or later) departures. We also show that these test statistics present comparable performances with other well-known test statistics based on the empirical distribution function for an exponential null distribution. The proposed test statistic is an omnibus test which is applicable to other lots of distributions than an exponential distribution.

Original languageEnglish
Pages (from-to)623-633
Number of pages11
JournalCommunications for Statistical Applications and Methods
Issue number6
Publication statusPublished - 2019

Bibliographical note

Publisher Copyright:
© Korean Statistical Society.

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation
  • Finance
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


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