Bounded Support Random Variable

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Support of a random variable - statlect.com

    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 Support of a continuous variable

Do all bounded probability distributions have a definite ...

    https://stats.stackexchange.com/questions/442265/do-all-bounded-probability-distributions-have-a-definite-mean
    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.

Kernel Density Estimation for Random Variables with ...

    http://thirdorderscientist.org/homoclinic-orbit/2013/10/24/kernel-density-estimation-for-random-variables-with-bounded-support-mdash-the-transformation-trick
    Kernel Density Estimation for Random Variables with Bounded Support — The Transformation Trick Something that has bothered me since I started using kernel density estimators in place of histograms 1 is that I didn't see a natural way to deal with random variables with finite support.

When are probability distributions completely determined ...

    https://mathoverflow.net/questions/3525/when-are-probability-distributions-completely-determined-by-their-moments
    When are probability distributions completely determined by their moments? Ask Question Asked 10 years, ... One sufficient condition is that if the moment generating function of a random variable has positive radius of convergence, then that random variable is determined by its moments. ... If X and Y have bounded support, the CDFs of X and Y ...

Show that if X is a bounded random variable, then E(X ...

    https://www.physicsforums.com/threads/show-that-if-x-is-a-bounded-random-variable-then-e-x-exists.570584/
    Jan 25, 2012 · Homework Statement Show that if X is a bounded random variable, then E(X) exists. Homework Equations The Attempt at a Solution I am having trouble of finding out where to begin this proof. This is what I got so far: Suppose X is bounded. Then there exists two numbers a …

List of probability distributions - Wikipedia

    https://en.wikipedia.org/wiki/List_of_probability_distributions
    Many probability distributions that are important in theory or applications have been given specific names. ... The generalized Pareto distribution has a support which is either bounded below only, ... For any set of independent random variables the probability density function of their joint distribution is the product of their individual ...

Chapter 1: Sub-Gaussian Random Variables

    https://ocw.mit.edu/courses/mathematics/18-s997-high-dimensional-statistics-spring-2015/lecture-notes/MIT18_S997S15_Chapter1.pdf
    Chapter. 1 . Sub-Gaussian Random Variables . 1.1 GAUSSIAN TAILS AND MGF . Recall that a random variable X ∈ IR has Gaussian distribution iff it has a density p with respect to the Lebesgue measure on IR given by . 1 (x −µ) 2 . p(x) = √ exp (− ), x ∈ IR, 2πσ. 2 2σ 2. where µ = IE(X) ∈ IR and σ. 2



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