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Prove that expected value of polar form standard gaussian length is $\sqrt{n}$

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#normal-distribution #expected-value #polar-coordinates #gamma-function #gaussian-integral
92
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Verify concavity of function $f(x) = \ln(\Phi(b-x)-\Phi(a-x))$

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#probability #derivatives #convex-analysis #normal-distribution
50
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Normal Distribution: Which side of the mean?

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#normal-distribution #word-problem
160
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Variance of Brownian motion increments

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#random-variables #normal-distribution #brownian-motion
47
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Derivative of expected value truncated normal

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#calculus #integration #statistics #normal-distribution
16
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Drawing an distribution of measurments in an XY plan

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#normal-distribution #graphing-functions #variance #covariance #means
22
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Expectation of product of 3 samples of WSS Gaussian process

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#probability-theory #normal-distribution #stationary-processes
45
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Probability of exponential of normal distribution

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#probability #probability-distributions #normal-distribution
119
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On Asymptotic Expansions: An Example

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#analysis #asymptotics #normal-distribution
42
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How do I combine two dependant variables from multivariable normal distribution and recalculate the covariances?

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#linear-algebra #probability #normal-distribution #finance
56
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Prove function is convex for $x<0$

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#convex-analysis #normal-distribution
86
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Joint and marginal distributions and independence

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#probability #probability-theory #probability-distributions #normal-distribution
48
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Find the number of measurements so that our iuncertainty is less than 2%

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#statistics #normal-distribution #standard-deviation #confidence-interval #standard-error
51
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Standard normal distribution tails: Lower bound

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#normal-distribution #upper-lower-bounds
95
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sub-gaussian tail bound when $t=0$

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#probability #normal-distribution

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