| 1. | Two random variables having equal moment generating functions have the same distribution.
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| 2. | Multiple differentiations lead to the connected correlation functions of the random variables.
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| 3. | In cases where each of the underlying random variables is countably infinite.
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| 4. | Random variables are freely independent if they generate freely independent unital subalgebras.
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| 5. | Continuous random variables are defined in terms of intersections of such intervals.
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| 6. | They play a similar role as the characteristic functions for random variable.
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| 7. | Whitening a data matrix follows the same transformation as for random variables.
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| 8. | The probability of a random variable in an MRF is given by
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| 9. | For justifications of the result for discrete and continuous random variables see.
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| 10. | Let be a symmetric matrix of random variables that is positive definite.
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