.rosenbaum_bounds

<p>Under hidden bias Gamma, each pair's probability of the treated unit
having the larger value is between 1/(1+Gamma) and Gamma/(1+Gamma).</p>

internal

Solves optimal pairing and matching problems using linear assignment
algorithms. Provides implementations of the Hungarian method (Kuhn 1955)
<doi:10.1002/nav.3800020109>, Jonker-Volgenant shortest path algorithm
(Jonker and Volgenant 1987) <doi:10.1007/BF02278710>, Auction algorithm
(Bertsekas 1988) <doi:10.1007/BF02186476>, cost-scaling
(Goldberg and Kennedy 1995) <doi:10.1007/BF01585996>, scaling algorithms
(Gabow and Tarjan 1989) <doi:10.1137/0218069>, push-relabel (Goldberg and
Tarjan 1988) <doi:10.1145/48014.61051>, and Sinkhorn entropy-regularized
transport (Cuturi 2013) <doi:10.48550/arxiv.1306.0895>. Designed for
matching plots, sites, samples, or any pairwise optimization problem.
Supports rectangular matrices, forbidden assignments, data frame inputs,
batch solving, k-best solutions, and pixel-level image morphing for
visualization. Includes automatic preprocessing with variable health
checks, multiple scaling methods (standardized, range, robust), greedy
matching algorithms, and comprehensive balance diagnostics for assessing
match quality using standardized differences and distribution comparisons.

.rosenbaum_bounds: Compute Rosenbaum bounds via normal approximation

Description

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