Measurable order and simulation
Rodolfo Garza Morales, Juan González Hernández, César Emilio Villarreal Rodríguez · International Journal of Mathematics in Operational Research · 2016
In this article is proposed a method for simulating random objects in a sample space Ω provided with a probability measure, a total order ⪯ and general conditions, such as the fact that for all ω0 ∈ Ω the set {ω ∈ Ω: ω ⪯ ω0} is measurable, the order topology relative to ⪯ is first countable, and a completion of Ω relative to the order is also first countable.