OAI/Probability/ThreeState/Couplings.lean

GitHub source file

17 declarations, 0 contain sorry, 0 declared as axioms

Common-mass couplings and total variation bounds for products and mixtures.

  1. def OAI.ThreeState.commonMass line 15
  2. lemma OAI.ThreeState.commonMass_summable line 16
  3. lemma OAI.ThreeState.commonMass_nonneg line 20
  4. lemma OAI.ThreeState.commonMass_eq line 22
  5. lemma OAI.ThreeState.commonMass_le_one line 32
  6. def OAI.ThreeState.sharedPMF line 37
  7. lemma OAI.ThreeState.mass_sharedPMF line 45
  8. lemma OAI.ThreeState.sharedPMF_scaled line 49
  9. lemma OAI.ThreeState.commonMass_iidVector line 53
  10. lemma OAI.ThreeState.tvMass_iidVector_le line 85
  11. lemma OAI.ThreeState.tvMass_map_le line 98
  12. lemma OAI.ThreeState.mass_edge_difference line 101
  13. lemma OAI.ThreeState.tvMass_edge line 108
  14. lemma OAI.ThreeState.tvMass_marginal_le line 115
  15. lemma OAI.ThreeState.advantage_le_pair_bound line 135
  16. lemma OAI.ThreeState.tvMass_sigmaPMF line 147
  17. lemma OAI.ThreeState.summable_weighted_tv line 157