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math.PR2025
Stochastic ordering, attractiveness and couplings in non-conservative particle systems
Raúl Gouet, F. Javier López, Gerardo Sanz
We analyse the stochastic comparison of interacting particle systems allowing for multiple arrivals, departures and non-conservative jumps of individuals between sites. That is, if…
math.PR2025
Characterisation of distributions via record-like observations
Raúl Gouet, Miguel Lafuente, F. Javier López +1
We characterise probability distributions via a martingale property associated with a natural generalisation of record values, known as -records. For an independent and identica…