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math.ST2026
The Elliptically Optimal Confidence Interval: A Bivariate Extension of Wilson's Score Method
Nawaf Mohammed
Constructing a confidence interval for the difference between two independent binomial proportions involves a nuisance direction that is not identified by the estimand. The one-sam…
math.ST2026
Joint Exclusivity
Nawaf Mohammed
We introduce \emph{joint exclusivity} (JE), a relaxation of mutual exclusivity (ME) for non-negative random vectors that forbids only the simultaneous positivity of all compone…