AWhat changed
Efron and Stein used orthogonal interaction decomposition to characterize the expected upward bias of the natural deletion-based jackknife variance estimate and distinguish its sample-size target and nonlinear correction limits.
Scientific scope
Efron and Stein used orthogonal interaction decomposition to characterize the expected upward bias of the natural deletion-based jackknife variance estimate and distinguish its sample-size target and nonlinear correction limits. The variance arguments require independent observations and finite second moments; the natural jackknife result has its stated symmetry/iid setting and separately generalized cases. Conservativeness is in expectation, not a pointwise upper bound or a confidence interval. Changing the scaling or target sample size can remove that property. Dependent observations and bootstrap proofs deferred to an unread report are outside the verified source scope.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- B. Efron · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- C. Stein · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
- Efron and Stein: jackknife variance through interaction decomposition — original scientific article
- Efron and Stein: jackknife variance through interaction decomposition — publisher deposit
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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