The total time on test statistics and l1-isotropy

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
Volume7
Issue number2
Publication statusPublished - 2000 Jun
Externally publishedYes

Fingerprint

Total Time on Test
Isotropy
Random variables
Test Statistic
Random variable
Statistics
Order Statistics

Keywords

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

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics

Cite this

The total time on test statistics and l1-isotropy. / Hayakawa, Yu.

In: International Journal of Reliability, Quality and Safety Engineering, Vol. 7, No. 2, 06.2000, p. 143-151.

Research output: Contribution to journalArticle

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