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Understanding proof of $\mathbb{E}[X^n] = \int_{0}^\infty n x^{n-1} (1 - F(x)) dx$

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#probability #probability-distributions #random-variables #cumulative-distribution-functions
20
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Random variable and distribution function

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#random-variables #density-function #cumulative-distribution-functions
113
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Find the CDF and use it to find all the medians

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#probability #means #cumulative-distribution-functions
347
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How do they acquire this cumulative distribution function?

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#probability #probability-distributions #cumulative-distribution-functions
43
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How do they switch this function?

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#probability #probability-theory #probability-distributions #cumulative-distribution-functions
872
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Cumulative distribusion function continuous if and only if P(X=x)=0?

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#probability #probability-distributions #continuity #cumulative-distribution-functions
117
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When is $F(x) = P(X \leq x) = P(X^2 \leq x^2)$?

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#probability-theory #proof-writing #random-variables #proof-explanation #cumulative-distribution-functions
416
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Finding Quantile Function from CDF

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#statistics #quantile #cumulative-distribution-functions
164
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What Is the cumulative distribution function Of $Y = aX+b$ if $X\sim N(m,\sigma^2)$?

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#probability #random-variables #normal-distribution #cumulative-distribution-functions
60
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An integral inequality concerning probability functions

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#inequality #definite-integrals #cumulative-distribution-functions
672
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Inverse cdf of the $\chi$-squared distribution

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#probability-distributions #numerical-methods #cumulative-distribution-functions
3.2k
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Find the CDF of Y in terms of CDF of X.

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#probability-distributions #cumulative-distribution-functions
270
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Conditional expectation with mean-preserving spread

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#probability #conditional-expectation #conditional-probability #convolution #cumulative-distribution-functions
61
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Distribution function with indicator

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#probability #cumulative-distribution-functions
92
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Transforming of Random Variables

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#statistics #probability-distributions #random-variables #density-function #cumulative-distribution-functions

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