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math.PR2000
Realizable monotonicity and inverse probability transform
James Allen Fill, Motoya Machida
A system (P_a: a in A) of probability measures on a common state space S indexed by another index set A can be ``realized'' by a system (X_a: a in A) of S-valued random variables o…
math.PR2000
Stochastic monotonicity and realizable monotonicity
James Allen Fill, Motoya Machida
We explore and relate two notions of monotonicity, stochastic and realizable, for a system of probability measures on a common finite partially ordered set (poset) S when the measu…