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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
- Calculate expectation of a geometric random variable
2 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
- Intuitive explanation of the tower property of conditional expectation
I understand how to define conditional expectation and how to prove that it exists Further, I think I understand what conditional expectation means intuitively I can also prove the tower property,
- Difference between logarithm of an expectation value and expectation . . .
Difference between logarithm of an expectation value and expectation value of a logarithm Ask Question Asked 14 years, 9 months ago Modified 10 years, 9 months ago
- probability - Infinite expected value of a random variable . . .
Part of it might be because of the word "expectation " In common usage, when we expect something to happen, we think it's more likely to happen than not But in probability, that's clearly not the case, because we're taking a weighted average of possible outcomes, and the weighted average itself might be an unlikely, or even impossible outcome
- Expected Value of a Binomial distribution? - Mathematics Stack Exchange
As far as resources go, I remember learning things like this variously from "Art and Craft of Problem Solving", Art of Problem Solving's "Introduction to" and "Intermediate Counting and Probability" Depending on your goals, there may better sources for this stuff For instance, the Wikipedia page on binomial coefficients is moderately comprehensive
- The expectation of absolute value of random variables
The expectation of absolute value of random variables Ask Question Asked 12 years ago Modified 6 years, 7 months ago
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