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Checking whether a sequence $X_n$ satisfies the laws of large numbers

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#probability #random-variables #law-of-large-numbers
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Difference in conditions of Weak and Strong Law of Large Numbers

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#law-of-large-numbers
133
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Using the WLLN to find the limiting distribution of a random variable

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#convergence-divergence #probability-limit-theorems #law-of-large-numbers
78
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Finding the expected value and variance for $Y_n^{(c)}$

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#probability-theory #convergence-divergence #law-of-large-numbers
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Law of large numbers without iid assumption

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#probability-theory #reference-request #probability-limit-theorems #law-of-large-numbers
58
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Is this rule a consistent estimator?

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#sequences-and-series #means #law-of-large-numbers
44
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$X=\sum_{i=1}^{N}X_i$,estimator for $N$(continuation)

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#probability #statistics #statistical-inference #law-of-large-numbers
167
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Sum of Independent Poisson Distribution

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#poisson-distribution #probability-limit-theorems #law-of-large-numbers
85
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When does SLLN hold for specified characteristic function?

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#probability-theory #characteristic-functions #law-of-large-numbers
211
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Product of Uniform Distribution

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#probability-theory #probability-limit-theorems #law-of-large-numbers #almost-everywhere
90
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Is $\frac{1}{\frac{1}{n}\sum_{i=1}^{n}\frac{1}{X_{i}}}$ a consistent estimator for $\mu$

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#probability-theory #statistics #law-of-large-numbers
118
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A (counter)-example in probability theory.

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#probability-theory #measure-theory #law-of-large-numbers
62
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Relation between $X\in L^p$ and $n^{-1/p}\sum X$ for i.i.d. sequence.

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#probability-theory #law-of-large-numbers
45
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Convergence in prob. and a.s.: Commonly-used strategies

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#probability #convergence-divergence #self-learning #law-of-large-numbers
269
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Law of large numbers for sequence of running minima of i.i.d. Uniform (0,1) random variables

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#probability-theory #uniform-distribution #probability-limit-theorems #law-of-large-numbers

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