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Showing a kernel density estimate with Gaussian Kernels is a probability distribution

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#density-function
247
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Is every radon-nikodym derivative a random variable?

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#measure-theory #random-variables #lebesgue-measure #density-function #geometric-measure-theory
698
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integral of $xf(x)$ for normal distribution

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#integration #normal-distribution #density-function
28
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Finding constant in probability density function

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#probability #statistics #density-function
1.7k
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$X,Y$ independent r.v. uniformly distributed on $[0,1]$. Find $\mathbb{P}(Y\le \frac X2)$

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#probability #probability-theory #probability-distributions #uniform-distribution #density-function
569
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CDF and cumsum of a prbabolity density function

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#density-function #cumulative-distribution-functions
129
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Derive density of $Z=XY$, $X\sim U(0,1)$ and $Y\sim\mathcal N(0,1)$.

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#probability #statistics #probability-distributions #density-function #change-of-variable
64
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How to prove that probability density function of the sum of 2 independant variable is equal to their convolution?

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#random-variables #convolution #density-function
618
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Compute the density function of a pushforward measure

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#measure-theory #lebesgue-measure #density-function #borel-sets #pushforward
736
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Joint distribution of the Sum of gaussian random variables

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#random-variables #normal-distribution #density-function #gaussian
88
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Proving the set where probability density function becomes infinite is bounded

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#probability #statistics #density-function #upper-lower-bounds
59
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Given independent $Z_i \sim N(\mu_i, \sigma_i ), i=1,2$ derive the density of $(Z_1, Z_1 + Z_2)$.

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#real-analysis #probability-theory #normal-distribution #density-function
590
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Conditional PDF of X given that Y>0

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#probability #conditional-probability #density-function
136
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Is there a random variable which has a density but the distribution function is not differentiable?

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#probability #probability-theory #probability-distributions #stochastic-calculus #density-function
37
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Why can we use this density for random variables with normal distribution?

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#probability #probability-theory #stochastic-calculus #density-function

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