How to use in-sentence of “Random variable”:
– If we choose differently, one random variable can give different probabilities.
– In these generalisations, another precondition makes sure that no single random variable has a bigger influence on the outcome than the others.
– For this reason, mathematicians often define a random variable on a probability space.
– The examples show that a random variable doesn’t automatically give probabilities.
– In probability theory and statistics, the expected value of a random variable is the average value the variable will take, that is, assuming that the experiment is repeated an infinite number of times, and the mean of all the values is calculated along the way.
– Variance describes how much a random variable differs from its expected value.
– The modified values are then rounded with any one of the above rounding methods, the best ones being with stochastic or dithering methods: in this last case, the sum of “n” rounded numbers will still be a random variable with expected error zero but with an excellent constant standard deviation of that will converge hyperbolically to zero, faster than with the semi-hyperbolic convergence when dithering isolated samples.
