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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/Bounded_function
The function f which takes the value 0 for x rational number and 1 for x irrational number (cf. Dirichlet function) is bounded. Thus, a function does not need to be "nice" in order to be bounded. The set of all bounded functions defined on [0, 1] is much bigger than the set of continuous functions on that interval. See also. Bounded set ...
https://pdfs.semanticscholar.org/d0f5/d25e4dbecc5add721931bf236a4c1a7bdbf7.pdf
function has unbounded as well as bounded support. Removing boundary effects can be done in various ways. The best known and most often used method is the reflection method, which is characterized by both simplicity and best properties. Assuming that the support of random variable is , the reflection kernel
https://arxiv.org/pdf/1504.00160.pdf
A new distribution function with bounded support: the reflected Generalized Topp-Leone Power Series distribution Abstract In this paper we introduce a new flexible class of …
https://stats.stackexchange.com/questions/442265/do-all-bounded-probability-distributions-have-a-definite-mean/442276
A bounded function satisfies f(x) < M for some M and all x in the domain. So a random variable being bounded would mean the same to me, X(w) < M for all w in the sample space. It may be common in non-mathematical domains, but I suspect most mathematicians will be a bit confused by this use of bounded before clarification.
https://stats.stackexchange.com/questions/442265/do-all-bounded-probability-distributions-have-a-definite-mean
I wouldn't have blinked an eye at the use of bounded here, and in fact your "compact support" link says "a function has compact support if and only if it has bounded support" in its second sentence. $\endgroup$ – David Kent Dec 29 '19 at 19:35 ... Bounded support may be a good middle ground. $\endgroup$ – Matthew Drury Dec 30 '19 at 0:22
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://www.statlect.com/glossary/support-of-a-random-variable
Support of a discrete variable For discrete random variables , it is the set of all the realizations that have a strictly positive probability of being observed. Example If a discrete random variable has probability mass function its support, denoted by , is
http://www.msc.uky.edu/ken/ma570/lectures/lecture2/html/compact.htm
Lecture 2: Compact Sets and Continuous Functions 2.1 Topological Preliminaries. What does it mean for a function to be continuous? An elementary calculus course would define: Definition 1: Let and be a function. Let and . The function has limit as x approaches a if for every , there is a such that for every with , one has . This is expressed as
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