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https://math.stackexchange.com/questions/1740703/show-that-a-function-has-bounded-support
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https://en.wikipedia.org/wiki/Support_(mathematics)
In mathematics, the support of a real-valued function f is the subset of the domain containing those elements which are not mapped to zero. If the domain of f is a topological space, the support of f is instead defined as the smallest closed set containing all points not mapped to zero. This concept is used very widely in mathematical analysis
https://pdfs.semanticscholar.org/20a6/3ede36953ddf4c9111936a0ffbeb9dfa5b16.pdf
Overview of Bounded Support Distributions and Methods for Bayesian Treatment of Industrial Data Kamil Dedecius1 and Pavel Ettler2 1Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod Voda´renskou veˇzˇ´ı 4, 182 08 Prague, Czech Republic
https://stats.stackexchange.com/questions/146172/bounded-and-unbounded-support-vectors-for-nu-svms
How do we find out which of the support vectors for a nu-svm are its bounded or unbounded support vectors? For c-SVMs the test is easy: a support vector with $\alpha_i = C$ denotes a bounded support vector, while the others are unbounded.
https://stats.stackexchange.com/questions/121744/kernel-density-estimation-on-bounded-support
Several methods to deal with density estimation on bounded support (including the estimation method proposed by Chen) are implemented in the bde package available from the CRAN repository. You may be interested on using it.
https://sciencing.com/meaning-unbounded-bounded-math-8731294.html
Mar 13, 2018 · You can also have a bounded and unbounded set of numbers. This definition is much simpler, but remains similar in meaning to the previous two. A bounded set is a set of numbers that has an upper and a lower bound. For example, the interval [2,401) is a bounded set, because it has a finite value at both ends.
https://en.wikipedia.org/wiki/Bounded_function
A family of bounded functions may be uniformly bounded. A bounded operator T : X → Y is not a bounded function in the sense of this page's definition (unless T = 0), but has the weaker property of preserving boundedness: Bounded sets M ⊆ X are mapped to bounded sets T(M) ⊆ Y.
https://en.wikipedia.org/wiki/List_of_probability_distributions
The generalized Pareto distribution has a support which is either bounded below only, or bounded both above and below; The Tukey lambda distribution is either supported on the whole real line, or on a bounded interval, depending on what range the value of one of the parameters of the distribution is in. The Wakeby distribution
https://en.wikipedia.org/wiki/Bounded_set
"Bounded" and "boundary" are distinct concepts; for the latter see boundary (topology).A circle exists in a two dimensional space, the space may or may not be bounded but the circle can be described as a bounded set, while the half plane is a boundless line, and three unbounded lines.. In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain ...
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