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Find E(X) for a certain function using the gamma function

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#probability #random-variables #expectation #gamma-function #gamma-distribution
31
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Change of variable for integral formula...why?

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#calculus #random-variables
451
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Measurability of an uncountable union

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#measure-theory #random-variables #product-space
135
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Overview of the different types of mixing sequences

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#probability #probability-theory #random-variables #mixing #mixing-variables
310
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Show that $\frac{X_n-nm}{\sqrt{nm}} \xrightarrow{d}N(0,1) , X_n \in Bin(n^2,m/n),m>0$

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#probability #limits #random-variables #central-limit-theorem
181
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Expected Absorption Time in a Particular Markov Chain

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#probability #random-variables #markov-chains #stopping-times
494
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Probability distribution of X(balls and bins)

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#probability #probability-theory #probability-distributions #random-variables #balls-in-bins
434
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Converging pointwise almost-surely versus almost-surely pointwise

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#probability #probability-theory #measure-theory #convergence-divergence #random-variables
225
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Preservation of independence under union of two sigma algebras

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#probability-theory #measure-theory #random-variables
124
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Question on Law of Large numbers argument including conditioning

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#probability #convergence-divergence #random-variables
1k
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Expected value of the total waiting time of all passengers catching a train.

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#probability-theory #random-variables #poisson-process
2.2k
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Linear combination of two independent normal random variables only normally distributed function?

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#random-variables #normal-distribution
76
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The probability to use the device $n$ times before it breaks.

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#probability-theory #random-variables #conditional-probability
73
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Understanding $P[X \gt \alpha] = P[e^{\theta X} \gt e^{\theta \alpha}]$

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#probability #random-variables
137
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Does statistician Piggy wait longer when she is in a hurry?

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#probability-theory #random-variables #generating-functions

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