Statistical Theory of Reliability and Life Testing

Barlow, R. E., & Proschan, F. (1975). Statistical Theory of Reliability and Life Testing: Probability Models.

Type

Book

Intellectual base

Review or monograph

Year

1975

Link

https://archive.org/details/statisticaltheor0000barl

Cited from

computer_science, mathematics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Single Point of Failure
  • The reliability ceiling is exact and quantitative: if the duplicated tiers each achieve 99.99% availability but the lone database achieves 99.9%, the system's end-to-end availability is bounded above by 99.9% regardless of how much redundancy the other tiers display — a serial dependency caps the product at the weakest link.

    This sourceClassic reliability text establishing that the reliability of a series (serial-dependency) system is the product of component reliabilities, so the system is bounded above by its weakest element.

• Statistical Independence
  • Reliability and safety engineering: redundant subsystems multiply reliability only if their failures are independent; common-mode failure (correlated outages) is the canonical violation that has wrecked nuclear, aviation, and financial fail-safes.

    This sourceCanonical reliability theory: redundant components multiply reliability only under independent failures; common-mode failure as the violation.

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