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Unbounded mean implies convergence in probability to infinity.

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#probability #random-variables #expectation
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Socks on a clothing line

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#probability #combinatorics #discrete-mathematics #expectation #recreational-mathematics
315
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Expectation of a random variable - Proof using MCT and simple functions

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#probability #random-variables #expectation #simple-functions
861
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Why is this way of calculating variance incorrect?

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#probability #expectation #variance
268
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Expectation associated with the Kth largest value of iid variables

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#probability #expectation #uniform-distribution #independence
244
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How to solve $E(X_i \bar{X_n})$?

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#probability #statistics #expectation #conditional-expectation
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Expected value of PMF

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#probability #probability-theory #probability-distributions #expectation
93
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$E(X)$ of number of coin tosses to get at least one head and one tail

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#probability #statistics #expectation
4.4k
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How to find estimator for shifted exponential distribution using method of moment?

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#statistics #expectation #estimation #moment-generating-functions #exponential-distribution
495
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Two examples where limit of expectations $\neq$ expectation of the limit

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#probability #probability-theory #measure-theory #convergence-divergence #expectation
451
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How to find the Maximum Likelihood Estimator, the expected lifetime and the probability of the following situation?

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#statistics #expectation #means #maximum-likelihood #exponential-distribution
2.5k
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Expected number of draws to find a match

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#probability #expectation
4.9k
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Let $T_1$ be an unbiased estimator of $\theta$. Show that $T_1^2$ is a biased estimator of $\theta^2$.

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#statistics #expectation #estimation #variance
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How to find estimator of Pareto distribution using method of mmoment with both parameters unknown?

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#statistics #expectation #variance #density-function #moment-generating-functions
38
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Find the expectation and variance of the fuction

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#expectation #variance #density-function

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