Probability Measures on Metric Spaces¶
Parthasarathy, K. R. (1967). Probability Measures on Metric Spaces. Academic Press.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Image (of a Function)
- In probability, the range of a random variable is the image of the probability space under it, and its support — the smallest closed set carrying all of its probability — lies inside the closure of that image (the two can differ), encoding which outcomes can actually occur
This sourceThe support of a probability measure on a separable metric space as the unique smallest closed set of full measure.
Supported in partVerified against the source
- In probability, the range of a random variable is the image of the probability space under it, and its support — the smallest closed set carrying all of its probability — lies inside the closure of that image (the two can differ), encoding which outcomes can actually occur
Verification¶
Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.
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Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
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Registry ID ref:9296c7d14d7f · see in the full table