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