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Does $E\big[\frac{X}{Y}\big]>\beta$ imply $E\big[\frac{X+\beta Z}{Y+Z}\big]>\beta$?

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#stochastic-processes #expected-value
98
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$E(X_k|Y)$ for $X_k \sim Bern(\theta)$ and $Y := \sum_{k=1}^n X_k.$

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#probability-theory #expected-value
252
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Series Converging Almost Surely But Diverging in Mean

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#probability #probability-theory #convergence-divergence #expected-value #probability-limit-theorems
621
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Confused about the expression relating the CDF and expected value of a random variable

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#probability #probability-theory #probability-distributions #expected-value
28
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Use of conditional expectation in problem

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#probability #statistics #expected-value
638
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Duration to guess password

Published on
#probability #combinatorics #expected-value
196
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Sampling Methods Explaination: Pattern Recognition and Machine Learning Bishop

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#probability-distributions #machine-learning #expected-value #sampling
68
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Variance of difference in X and Y problem

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#probability #statistics #expected-value
477
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Expectation for random variables having natural numbers as their range

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#probability #random-variables #expected-value
3.2k
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What does the symbol $\omega$ stand for in statistics?

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#probability-theory #statistics #random-variables #expected-value
84
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Understanding this proof about linearity of expectation

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#statistics #random-variables #intuition #expected-value #descriptive-statistics
23
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Orthant expectation

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#probability #normal-distribution #expected-value
47
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Conditional expectation $E(Y|X,W)$

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#normal-distribution #conditional-expectation #expected-value #variance
1.4k
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Proof that $E[X^2]$ = $\sum_{n=1}^\infty (2n-1) P(X\ge n)$

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#probability #probability-theory #expected-value
5.3k
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I pick a number n, if you guess it, I pay you $n. What is the fair value of the game?

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#probability #game-theory #expected-value

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