Stanford's archive records a technical report by Herman Chernoff, dated November 1951, on asymptotic efficiency of hypothesis tests based on sums of observations.[ref]
A Measure of Asymptotic Efficiency for Tests of an Hypothesis Based on the Sum of Observations, technical report by Herman Chernoff. Stanford Statistics technical-report record: SOL ONR 6, author H. Chernoff, report date November 1951
This is historical source metadata, rather than a claim to have inspected the report's full proof. The modern theorem cited above connects that efficiency question to the log-likelihood ratio accumulated across repeated observations. Articles by others on the same topic
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