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Hence, we have ∥(A† 0)′∥2,2 = sup ∥x∥2≤1 (x′(A′ 0A0)−1A′ 0A0(A′ 0A0)−1x)1/2 = sup ∥x∥2≤1 (x′(A′ 0A0)−1x)1/2 = 1 s(A0) ,(106) where the first equality follows by definition of∥ · ∥

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econ.EM 1

years

2026 1

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UNVERDICTED 1

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Inference for Linear Systems with Unknown Coefficients

econ.EM · 2026-04-27 · unverdicted · novelty 7.0

Develops sample-splitting tests for existence of non-negative solutions to linear systems with unknown coefficients, valid under weak conditions allowing dimensionality to grow with sample size and without simulation-based critical values.

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  • Inference for Linear Systems with Unknown Coefficients econ.EM · 2026-04-27 · unverdicted · none · ref 2

    Develops sample-splitting tests for existence of non-negative solutions to linear systems with unknown coefficients, valid under weak conditions allowing dimensionality to grow with sample size and without simulation-based critical values.