2 problems

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Conjecture that the variance advantage of the marginal estimator cannot compensate for its bias
Let $\hat{\gamma}_M$ denote the estimator obtained by the marginal approach, and let its estimation bias and variance be compared with those of the adjusted estimators in the local…
Conjectureopencase-control-studies statistical-inferencearXiv posted 2 days ago
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Equivalence and efficiency of the Chatterjee–Carroll estimator
Equivalence and efficiency conjecture. The estimator in Chatterjee and Carroll is equivalent to the method proposed here and is therefore also efficient.
Conjectureopencase-control-studies efficient-estimation semiparametric-inferencearXiv posted 2 days ago

Conjecture that the variance advantage of the marginal estimator cannot compensate for its bias