Question

How to explicitly show that $\int_A\dfrac 12 (X(|\omega|) + X(-|\omega|)) d \mathbb{P} = \int_A X d \mathbb{P}$ over symmetric intervals

score 49 · Answer 1 · 2022-10-04 10:57:30

49

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How to explicitly show that $\int_A\dfrac 12 (X(|\omega|) + X(-|\omega|)) d \mathbb{P} = \int_A X d \mathbb{P}$ over symmetric intervals

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28

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194

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List Question

How to explicitly show that $\int_A\dfrac 12 (X(|\omega|) + X(-|\omega|)) d \mathbb{P} = \int_A X d \mathbb{P}$ over symmetric intervals

Figuring out a uniform distribution's parameters from $n$ chosen values

Expectation of area of rectangle built from two random variables

$X$ is uniform, $Y$ is binomial. When is $Var(X)>Var(Y)$?

Which is the Distribution of the Bars of an Histogram?

Randomly splitting a group into two equal teams using only a fair coin

generate pair of uniformly random variables given a single uniform random variable

Uniform distribution problem of finding overlapping region

Expected number of Good Pairs

A Bus Travels Between Two Cities. Which Scenario is More Efficient

Absolute continuity of stopped sequence of absolutely continuous random variables

Using t-test to compare bias of means between uniform distributions?

How large of a random sample must be taken in order that Pr(| max{X1, . . . , Xn } − θ| ≤ 0.1θ) ≥ 0.95, for all possible θ?

Expected value of $\max(a, b)$

Distribution of ratio of dependent gamma-disributed variables

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