Asymptotics / CONCEPT
Binomial Moment Identity
Every binomial moment of the finite capture count equals the total probability of all prescribed captured subsets of that size.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH6
DOCUMENT LINKS1
Binomial moments enumerate prescribed captured sets
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Arbitrary-Order Bonferroni Truncationstructural-affinity · Closed
- Capture Count Coherencestructural-affinity · Closed
- Capture-Count Tail Boundsstructural-affinity · Closed
- Exact Capture Count Distributionstructural-affinity · Closed
- Finite Bonferroni Escape Boundsstructural-affinity · Closed
- Finite Capture Inclusion-Exclusionstructural-affinity · Closed
- Finite Product Set Capture Lawstructural-affinity · Closed
- Second Moment Coherencestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
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