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Give two algorithms for generating a random variable.

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#probability #random-variables #density-function #monte-carlo #simulation
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Probability distribution of the median

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#probability #combinatorics #probability-distributions #random-variables #median
197
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Why is $\mathcal{C}=\{\{ X_T \in A \} \text{ or } \{ X_T \in A \} \cup \{T=\infty \},A \in \mathcal{B}(R) \}$ closed under complementation

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#probability-theory #measure-theory #stochastic-processes #random-variables
142
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Explaining the fit of Correlation and Covariance in AR and MA models

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#statistics #random-variables #covariance #correlation #time-series
57
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On the delocalization of simple random walk

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#probability-theory #probability-distributions #stochastic-processes #random-variables #random-walk
145
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Independent zero-mean random variables maximum inequality

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#probability #inequality #random-variables
67
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Mathematical Stats: Find the expectation and variance of a population if 40% are X and 60% are Y.

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#statistics #random-variables #variance
92
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Confusion Regarding the Definition of a Markov Chain

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#probability-theory #random-variables #markov-chains
39
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How to construct a random variable with given expectation?

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#random-variables #expectation
44
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Is it true that $ Pr(X\leq a, Y\leq b)=1 \Leftrightarrow a=\infty, b=\infty $ for continuous random variables?

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#probability #probability-distributions #random-variables
138
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Implications of imposing strictly positive density for continuous random variables

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#probability #probability-theory #probability-distributions #random-variables
474
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Probability of Mixture of Normal Random Variables

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#probability #probability-theory #statistics #random-variables #normal-distribution
259
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Expected value of conditional variance problem

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#probability #probability-theory #random-variables
216
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What does it mean for a random variable to be bigger than another?

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#probability #random-variables
940
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Marginal p.m.f. of two random variables with joint p.m.f. $p(x,y) = 2^{-x-y}$

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#probability #random-variables #marginal-distribution

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