| import OAI.Probability.MatroidSecretary.Secretary.ProbabilityModel | |
| import Mathlib.Probability.Independence.Basic | |
| import Mathlib.MeasureTheory.Integral.Bochner.Basic | |
| /-! | |
| # Independent specification of the full-seed secretary endpoint | |
| The rule and its finite initial seed law are chosen before the fixed vector | |
| of weights and before the probability space or adversary. The initial | |
| uniform order is independent of the complete seed. Only its ordered prefix | |
| is preserved in the actual execution; the suffix may depend on all available | |
| information, and even on additional randomization carried by the ambient | |
| space. No independence assumption is made on the executed order. | |
| Finite seed types suffice for the manuscript construction: all conditional | |
| reconstruction tables can be sampled in advance. `Fin q` is just an | |
| enumeration of this finite seed space, with its arbitrary probability law. | |
| -/ | |