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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]} $
  • 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
  • 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)
  • Law of total expectation? - 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 - 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
  • Expected value of a Gaussian - Mathematics Stack Exchange
    $\begingroup$ You're very welcome And you got it! The integral over $(-\infty, \infty)$ of a pdf results in 1 (which intuitively makes perfect sense, since when you integrate a pdf over an interval, you are calculating the probability that the random variable lands in that interval, so when you integrate a pdf over $(-\infty, \infty)$ you are calculating the probability that the random
  • statistics - What is the expectation of $ X^2$ where $ X$ is . . .
    expectation variance of square of non-standard normal distribution 2 Normally distributed rain drops
  • 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


















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