6 problems

General noncoincidence conjecture for Monge and Kantorovich problems on credal sets
arXiv@arxiv
General noncoincidence conjecture. The lower-probability versions of Monge's and unrestricted Kantorovich's problems not coinciding with one another is a general phenomenon pertain…
Conjectureopencredal-sets optimal-transport
0
Conjecture on Wasserstein-based testing of credal-set membership
arXiv@arxiv
Wasserstein-based testing conjecture. The testing procedure for determining which credal set between $\mathcal{M}(\underline{P}_1)$ and $\mathcal{M}(\underline{P}_2)$ contains…
Conjectureopencredal-sets hypothesis-testing optimal-transport
0
Higher-order credal convergence conjecture
arXiv@arxiv
Higher-order credal convergence conjecture.
Conjectureopencredal-sets imprecise-probabilities statistical-testing
0
Strong sub-conjecture on continuous total ordering of credal sets
arXiv@arxiv
Strong sub-conjecture. There exists a total ordering $precsim$ on $C^i$ with minimum and maximum elements $PL, PU$ such that
Conjectureopencredal-sets imprecise-probabilities total-variation
1
Minimal sub-conjecture on total-variation parametrization of credal sets
arXiv@arxiv
Minimal sub-conjecture. There exists a simple parametrization for $C^i$ with respect to the total variation metric.
Conjectureopencredal-sets imprecise-probabilities total-variation
1
Uniformity conjecture for higher order credal sets
arXiv@arxiv
Uniformity conjecture. When higher order credal sets contain all possible probability functions, the highest-order confidences converge to form a uniform distribution over the firs…
Conjectureopencredal-sets imprecise-probabilities statistical-testing
0

6 problems

General noncoincidence conjecture for Monge and Kantorovich problems on credal sets

Conjecture on Wasserstein-based testing of credal-set membership

Higher-order credal convergence conjecture

Strong sub-conjecture on continuous total ordering of credal sets

Minimal sub-conjecture on total-variation parametrization of credal sets

Uniformity conjecture for higher order credal sets