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Expected value and state diagrams

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#combinatorics #expected-value
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Interchange derivative and expectation operator

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#derivatives #expected-value
102
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Deriving a conditional expectation from a sum of random variables example - Rice 3rd ed - Ch 4.4.1 - Ex D

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#probability #probability-theory #expected-value #conditional-expectation
204
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An elementary application of Integral identity

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#probability #inequality #expected-value
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$E[1/(1+e^X)] = 1/2$ for standard normal $X$

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#integration #expected-value
108
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Brownian motion relation

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#probability #stochastic-processes #brownian-motion #expected-value
128
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What is mean and median of $X$ if $P(X \geq \frac{1}{2}+x)=P(X \leq \frac{1}{2}-x)$?

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#probability #expected-value #median
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Prove inequality on expectation

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#probability #expected-value #jensen-inequality
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Expected number of coin side changes in a sequence of coin tosses with unfair coin

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#probability #expected-value
90
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Find expected value of $Y$ if $P(Y=\frac{1}{2^a})=\frac{1}{2^a}$

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#probability #expected-value
178
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Show that $E\left[\|V\|^2| (V+U,U) \in C \times C \right] < E\left[\|V\|^2 \right]=3$ where $V$ and $U$ are standard normal

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#probability-theory #conditional-probability #expected-value #conditional-expectation
78
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Finding best item to maximize expected value

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#probability #expected-value
117
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How does the derivative of log normalizer give the moments of the sufficient statistics?

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#statistics #statistical-inference #expected-value
86
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Average distance between points in circles

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#probability #trigonometry #circles #expected-value
183
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Doubt in derivation of expectation of sample variance

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#statistics #self-learning #expected-value #variance #parameter-estimation

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