The total time on test statistics and l1-isotropy

Yu Hayakawa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In the literature on the total time on test statistics, it is often assumed that the random variables are mutually independent. It is well known that the scaled total time on test statistics of i.i.d. exponential random variables are the order statistics of independent uniform random variables on (0, 1). We show that this is in fact a characterization property of the l1-isotropic sequence of random variables, which includes the sequence of i.i.d. exponential random variables as a special case.

Original languageEnglish
Pages (from-to)143-151
Number of pages9
JournalInternational Journal of Reliability, Quality and Safety Engineering
Issue number2
Publication statusPublished - 2000 Jun
Externally publishedYes


  • Berman's Theorem
  • Exchangeability
  • L-Isotropy
  • Total Time on Test Statistics
  • Total Time on Test Transform

ASJC Scopus subject areas

  • Computer Science(all)
  • Nuclear Energy and Engineering
  • Safety, Risk, Reliability and Quality
  • Aerospace Engineering
  • Energy Engineering and Power Technology
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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