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PDF of $U,V$ where $U=|X-Y|$ and $V=\operatorname{min}(X,Y)$

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#probability #probability-distributions #uniform-distribution #density-function #change-of-variable
516
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PDF and CDF of the ratio of the max to min of an iid random sample: a quick check of the calculation!

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#probability #probability-distributions #density-function
234
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Finding distribution for a pendulum

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#ordinary-differential-equations #probability-distributions #density-function
25
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Gaussian normalized by local density

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#density-function #programming #clustering #gaussian
55
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Why are the integral bounds what they are in this probability problem?

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#probability #probability-distributions #definite-integrals #conditional-probability #density-function
90
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Determining a joint distribution of 3 random variables using transformation

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#probability #probability-theory #probability-distributions #density-function #change-of-variable
20
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Normal Distribution Probability Comparisons

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#normal-distribution #density-function
52
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shifting function with dense graph by identity function

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#real-analysis #calculus #general-topology #functional-analysis #density-function
1k
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Joint Density Function Boundaries

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#probability #conditional-probability #density-function
31
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Does $\mathbb P [ Y = 1 | X = x] \ge 1/2 \iff f_{X|Y} (x,1) \ge f_{X|Y} (x,-1)$ hold?

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#probability-theory #measure-theory #random-variables #conditional-probability #density-function
114
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Finding Marginal density from Joint CDF

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#probability-distributions #density-function
576
Views

Joint normal distribution factorizes if covariance matrix is diagonal. Why?

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#matrices #probability-theory #normal-distribution #covariance #density-function
98
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Difference of two uniforms from first principles

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#probability #probability-distributions #uniform-distribution #density-function
84
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Finding a constant without integration of joint pdf

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#integration #density-function #multiple-integral
60
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Convolution or other methods for rv's transformation

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#probability-distributions #convolution #density-function #change-of-variable

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