Year: 2026
Type: preprint
Abstract: Incomplete records can sharpen bounds on joint outcome probabilities even when no pair of outcomes is jointly observed. I derive sharp pointwise Fréchet--Hoeffding bounds combining known population marginals with selectively observed records, without restricting the observation mechanism. I establish an exact reduction of the identification problem to finite-dimensional optimization, yielding computable characterizations of both bounds. Illustrations involving income mobility, potential outcomes, and split questionnaires demonstrate how incomplete records can improve identification relative to the classical bounds.
Source: arXiv (Cornell University)
Author: Tabri, Rami V.
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225144256