4 problems
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Maullin-Sapey et al.'s assumptions imply the local contour condition
Maullin-Sapey implication conjecture. Assumptions 2.2.3a--c of MaullinSapey2022 imply , and hence is the weaker assumption.
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Removal of continuity of the contour function using confinements
Continuity-removal conjecture. The continuity assumption on may be removable by using confinements.
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Conjecture on the comparative performance of calibrated likelihood-ratio tests
Let denote the correctly calibrated version of the likelihood-ratio test statistic, and let and denote the alternative test statistics consi…
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Conjecture on scenarios where chi-squared quantiles are valid for constrained inverse problems
Let denote a configuration of the constraint set and associated quantities considered in the paper, and let denote the one-degree-of-freedom chi-squared quantile…