Stochastic ordering of conditional steady-state probabilities

Steady state of Stochastic Sandpile

We study the steady state of the abelian sandpile models with stochastic toppling rules. The particle addition operators commute with each other, but in general these operators need not be diagonalizable. We use their abelian algebra to determine their eigenvalues, and the Jordan block structure. These are then used to determine the probability of different configurations in the steady state. W...

Bayesian Inference of Survival Probabilities, Under Stochastic Ordering Constraints

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Priorities in Thurstone Scaling and Steady-State Probabilities in Markov Stochastic Modeling

A concept of stochastic transitivity based on conditional probabilities

A new notion of probability logical consequence is introduced. Given a probability algebra of propositions hL, P i, proposition ψ of L is called probability logical consequence of φ1 ∈ L and φ2 ∈ L (written φ1,φ2 ° ψ) iff P (ψ |φ1∧φ2 ) > max {P (ψ |φ1 ) , P (ψ |φ2 )}. A new definition of stochastic transitivity is put forward in terms of probability logical consequence. An empirical binary rela...

Steady State Probabilities of a Three Preemptive Single Server Queue