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Examples ofprobability space
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Consider theprobabilityspaceof all n-vertex r-graphs on m edges, where each r-graph with m edges is equally likely.
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The construction of such aprobabilityspaceis just a straightforward standard construction.
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While a walk produces a trace, iteration of a transition yields a list of distributions, which represents the exploredprobabilityspace.
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Throughout this paragraph, will be a finite underlying set of someprobabilityspace.
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Given an invertible measure-preserving transformation of aprobabilityspace, one can consider its natural action on finite partitions of the space.
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Theprobabilityspaceof 2-regular pseudographs that results is called the permutation pseudograph model.
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Let us first outline the method, in a generalprobabilityspace.
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That is, we cannot define aprobabilityspacefor all possible programs that is going to meaningfully relate to programs found in the real world.
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A measurable subset of a standardprobabilityspaceis a standardprobabilityspace.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Aprobabilityspaceis a measure space with a probability measure.
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This example is from Wikipedia and may be reused under a CC BY-SA license.In many situations, this means that one does not have to be explicit about what theprobabilityspaceis.
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This example is from Wikipedia and may be reused under a CC BY-SA license.That is, for a fixed dose, some patients improve, and some do not: this is the baseprobabilityspace.
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This example is from Wikipedia and may be reused under a CC BY-SA license.In practice, the priors used typically in research do have the desirable property even with an infinite countableprobabilityspace.
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This example is from Wikipedia and may be reused under a CC BY-SA license.This makes theprobabilityspacetheory much more technical.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Every injective measurable function from a "standard"probabilityspaceto a "standard" measurable space is generating.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Let be aprobabilityspace, then a random measure maps from thisprobabilityspaceto the measurable space.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Aprobabilityspaceis a measure space such that the measure of the whole space is equal to 1.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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