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https://www.statlect.com/glossary/support-of-a-random-variable
Example If a discrete random variable has probability mass function its support, denoted by , is Support of a continuous variable For continuous random variables , it is the set of all numbers whose probability density is strictly positive.
https://en.wikipedia.org/wiki/Support_(mathematics)
In probability theory, the support of a probability distribution can be loosely thought of as the closure of the set of possible values of a random variable having that distribution. There are, however, some subtleties to consider when dealing with general distributions defined on a sigma algebra , rather than on a topological space.
https://en.wikipedia.org/wiki/List_of_probability_distributions
The compound poisson-gamma or Tweedie distribution is continuous over the strictly positive real numbers, with a mass at zero. Joint distributions. For any set of independent random variables the probability density function of their joint distribution is the product of their individual density functions.
https://math.stackexchange.com/questions/250136/what-does-it-mean-to-say-a-random-variable-is-non-negative
Suppose your random variable is your net return in dollars on a game in a casino. If you pay money to play and lose it all (or lose part of it) the variable would be negative.
https://stats.stackexchange.com/questions/402558/is-there-a-random-variable-x-with-positive-support-such-that-the-ratio-of-the
Yes, there are such distributions where the ratio of the second-smallest to smallest values approaches unity in probability as the sample size grows large. They have to behave "essentially" like distributions with strictly positive support in the sense of approaching zero probability very, very rapidly at the origin.
https://www.chegg.com/homework-help/questions-and-answers/let-z-random-variable-support-positive-integers-1-2-3--probability-mass-function-f-z-e2-2--q36824007
Answer to Let Z be a random variable with support on the positive integers 1, 2, 3, ...} and probability mass function f(z)=e2-2 e...
http://www.math.wm.edu/~leemis/probability/samplepages/page257.pdf
The gamma distribution also has positive support and is considered in the next section. The exponential distribution has a single scale parameter λ, as defined below. Definition 5.2 A continuous random variable X with probability density function f(x)=λe−λx x >0 for some real constant λ >0 is an exponential(λ)random variable.
https://www.mathworks.com/help/matlab/random-number-generation.html
Use the rand, randn, and randi functions to create sequences of pseudorandom numbers, and the randperm function to create a vector of randomly permuted integers. Use the rng function to control the repeatability of your results. Use the RandStream class when you need more advanced control over random number generation.rand: Uniformly distributed random numbers
https://arxiv.org/pdf/1602.04862.pdf
true only if the support of f X is the whole real line R. Boundaries in the support of f generally cause much trouble for f^ X. A case of bounded support of major importance is when F X is the distribution of a positive continuous random variable X, with density f Xsupported on R+ = (0;+1). Those variables naturally arise in various
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