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Gamma distribution of maximal variance

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#random-variables #lagrange-multiplier #variance #density-function #gamma-distribution
104
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How to determine the joint density with shared random variables?

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#probability #statistics #probability-distributions #density-function
26
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Estimate bias determination

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#probability #statistics #density-function #parameter-estimation #cumulative-distribution-functions
66
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Prove/Disprove: $\dfrac{e^{2y}}{\mathbb{E}[e^{2X}]} f_X(y)$ is a probability density function

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#probability #density-function
48
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Sampling the norm and direction separately on R^n

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#random-variables #density-function #sampling
31
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Find the density of a random variable with and without using density transformation theorem

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#measure-theory #transformation #density-function #measurable-functions
913
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If $X$ and $Y$ are independent standard normal random variables, and $U=X+Y$, $V=\frac{X}{Y}$ then $f_V(v) = \frac{1}{\pi (1+v^2)}$

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#statistics #normal-distribution #density-function
111
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Find the marginal densities of $X$ and $Y$ knowing $h(x,y)$

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#statistics #probability-distributions #density-function #marginal-distribution
67
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How to minimize some integral by choosing an optimal density function?

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#calculus #integration #optimization #density-function
40
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Understanding Why we Integrate joint density function with opposite bounds to get marginal density

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#probability #density-function #marginal-probability
110
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Limits of integration for range of uniform distribution

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#density-function #order-statistics
41
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Joint distribution of Min max

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#probability-distributions #density-function
67
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Double integral for joint uniform PDF and E[XY]

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#calculus #probability #definite-integrals #expected-value #density-function
117
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Find a constant c from PDF

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#probability #density-function
25
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How to solve such equations involving probability

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#probability #probability-distributions #density-function #exponential-distribution #cumulative-distribution-functions

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