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- The expectation of an expectation - Mathematics Stack Exchange
This may seem trivial but just to confirm, as the expected value is a constant, this implies that the expectation of an expectation is just itself It would be useful to know if this assumption is correct or if any subtleties cause this not to be true i e $ \mathbb{E[\mathbb{E[x]}]}=\mathbb{E[x]} $
- What is the difference between Average and Expected value?
The distinction is subtle but important: The average value is a statistical generalization of multiple occurrences of an event (such as the mean time you waited at the checkout the last 10 times you went shopping, or indeed the mean time you will wait at the checkout the next 10 times you go shopping)
- Calculate expectation of a geometric random variable
A clever solution to find the expected value of a geometric r v is those employed in this video lecture of the MITx course "Introduction to Probability: Part 1 - The Fundamentals" (by the way, an extremely enjoyable course) and based on (a) the memoryless property of the geometric r v and (b) the total expectation theorem
- probability - How to calculate the expectation of $XY$? - Mathematics . . .
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- Expected value of an expected value - Mathematics Stack Exchange
Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
- probability - Expected Value of a Binomial distribution? - Mathematics . . .
If $\\mathrm P(X=k)=\\binom nkp^k(1-p)^{n-k}$ for a binomial distribution, then from the definition of the expected value $$\\mathrm E(X) = \\sum^n_{k=0}k\\mathrm P(X
- probability - measure-theoretic definition of expectation - Mathematics . . .
What is the intuition behind conditional expectation in a measure-theoretic treatment of probability? 6 Reconciling measure-theoretic definition of expectation versus expectation defined in elementary probability
- Newest conditional-expectation Questions - Mathematics Stack Exchange
For every question related to the concept of conditional expectation of a random variable with respect to a $\sigma$-algebra It should be used with the tag (probability-theory) or (probability), and other ones if needed
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