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How to prove $E(|T_{(1)}-T_{(2)}|)=O(n^{-1})$.

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#statistics #expected-value #order-statistics
50
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Does the inequality $\Bbb E \left[ \frac{1}{\tan(x)} \right] \leq \frac{1}{\tan(\Bbb E[x])}$ hold?

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#probability #inequality #expected-value
70
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Issue with Application of Law of Total Probability to Expectation of a Geometric Random Variable

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#probability #expected-value #conditional-expectation
22
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Comoare expectations of $S$ and $T$ and Variance of $S$ and $T$

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#statistics #expected-value #variance #poisson-distribution #binomial-distribution
54
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The expected value and standard deviation of parking fee

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#random-variables #expected-value #variance #density-function #standard-deviation
23
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If $V(X)=0$, show $P\{X=m\}=1$ for a rv $X$ with $EX=m$

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#measure-theory #random-variables #lebesgue-integral #expected-value #variance
118
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Proof that MGF of log-normal distribution is finite

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#probability #normal-distribution #expected-value #indefinite-integrals #moment-generating-functions
82
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Black's formula derivation: expectation of a indicator times a random variable

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#probability #expected-value #finance
105
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Conjecture about expected distance between two points in a regular polygon

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#geometry #optimization #expected-value #polygons #conjectures
38
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An inequality about expectation

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#probability #expected-value #conditional-expectation
88
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On the expectation operator for stochastic processes

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#probability #probability-theory #stochastic-processes #expected-value
171
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Prove the limit of the average of these sequence of sets

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#sequences-and-series #statistics #expected-value #means
66
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Expectation of Maximum Number

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#probability #sequences-and-series #expected-value
128
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Is $\mathbb{E}[|X|] \geq |\mathbb{E}[X]|$?

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#statistics #random-variables #expected-value
33
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Evaluating a minimum mean square error explicitly

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#statistics #expected-value #conditional-expectation #information-theory #decision-theory

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