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Measurable order and simulation - MaRDI portal

Measurable order and simulation (Q2204231)

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Measurable order and simulation
scientific article

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    Measurable order and simulation (English)
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    15 October 2020
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    Summary: In this article is proposed a method for simulating random objects in a sample space \(\Omega\) provided with a probability measure, a total order \(\preceq\) and general conditions, such as the fact that for all \(\omega_{0} \in\Omega\) the set \(\{\omega\in\Omega: \omega \preceq\omega_{0}\}\) is measurable, the order topology relative to \(\preceq\) is first countable, and a completion of \(\Omega\) relative to the order is also first countable.
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    measurable order
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    ordered probability space
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    simulation
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    complete order
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    random objects
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