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Existence of random Variable $X$ such that $\lim_{n\to\infty} \mathbb{E}[(X_n - X)^2] = 0$

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#probability-theory #measure-theory #random-variables
447
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Variance of X vs Variance of a binary function of X

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#probability #probability-distributions #random-variables #variance
956
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What is the difference between discrete interval and continous interval

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#random-variables #interval-arithmetic
59
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Cardinality of a set such that $P(X=t)>0$

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#probability #random-variables
37
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Is there a method which is more logical to solve this question?

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#integration #random-variables #gaussian-integral
120
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Probability-Has the owner made a smart decision?

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#probability #random-variables #problem-solving
58
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An example of a sequence of random variables with certain properties.

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#probability #random-variables #examples-counterexamples
322
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Expected value of the reciprocal

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#probability #convergence-divergence #random-variables #expectation
698
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UMVUE and Cramér-Rao lower bound

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#probability #probability-theory #random-variables #statistical-inference #density-function
160
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IID discrete but not a.s. equal

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#probability #probability-theory #probability-distributions #random-variables #independence
671
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Find $\mathbb{E}(X^2)$ given the pdf of $X$.

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#probability #random-variables #expectation
36
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Absorbing ball in the space of measurable functions

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#random-variables #measurable-functions
950
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Finding the expected value of the total number of individuals in a branching process

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#probability #stochastic-processes #random-variables #expectation
57
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Assume we know the distributions of $X $and $h(X)$, how to find $h$?

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#functions #probability-distributions #random-variables
77
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How to rigorously prove this very simple fact about percolation?

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#probability #probability-theory #random-variables #percolation

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