The total time on test statistics and l1-isotropy

Yu Hayakawa

doi:10.1142/S0218539300000122

The total time on test statistics and l₁-isotropy

Yu Hayakawa^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	143-151
Number of pages	9
Journal	International Journal of Reliability, Quality and Safety Engineering
Volume	7
Issue number	2
DOIs	https://doi.org/10.1142/S0218539300000122
Publication status	Published - 2000 Jun
Externally published	Yes

Keywords

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

Access to Document

10.1142/S0218539300000122

Cite this

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KW - Total Time on Test Transform

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