# Questions tagged [law-of-large-numbers]

Several theorems stating that sample mean converges to the expected value as $n\to\infty$. There is a weak law and a strong law of large numbers.

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### aquiring different results for a limit using CLT and LLN

I'm having some trouble with convergence in distribution and convergence in probability, mainly because I'm getting different results that seem to contradict each other using the Central limit theorem ...
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### Convergence of bootstrap standard error estimate (one of the problems from Efron's book)

I am trying to solve problem 2.5 from the Efron/Tibshirani book, An Introduction to the Bootstrap (page 16). The problem asks to show that by applying the weak law of large numbers, the bootstrap ...
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### Proving Identifiability Using Law of Large Numbers? [closed]

Well normally proving identifiability follows by showing that $p_{\theta}(x)=p_{\theta'}(x)$ implies $\theta=\theta'$. Usually this proceeds by showing that a function dependent on $\theta$, such as ...
2answers
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### Does random walking have a memory?

I do not know if this is a good question, but I have not found an answer for it anywhere, does a binomial random variable have memory, [simple logic says it can have no memory, but statistics show ...
1answer
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### Law of large numbers vs Short events vs Probability

:STATEMENT: Suppose an individual plays a gambling game where it is possible to lose $1.00$, break even, win $3.00$, or win $10.00$ each time she plays. The probability distribution for each outcome ...
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