why n>=30 for central limit theorem to hold?
51880
What references should be cited to support using 30 as a large enough sample size?
66628
Expected value of $X^n$ for normal distribution
77239
Limit point versus limit and implications for convergence
40501
Why are these two random variables identically distributed?
31272
Why does the continuity correction (say, the normal approximation to the binomial distribution) work?
38692
Please clear up this misunderstanding I have involving limits.
58079
How does $ \sum_{p<x} p^{-s} $ grow asymptotically for $ \text{Re}(s) < 1 $?
157199
Do we use the SD of whole population or SD of just one sample to calculate SE of samples means in central limit theorem?
68484
Revision of Borel-Cantelli, $(X_n)_{n \geq 1}$ sqn of $\geq 0$ identical RVs with $E(X) < \infty$ then $X_n/n \to 0$ a.s., are my arguments correct?
63580
Convergence in distribution, probability, and 2nd mean
75030
Law of large numbers for non-identically distributed Bernoulli random variables
131559
Lower Bound of Central Binomial Coefficients
20033
Regarding convergence in probability
37509
Why is the probability zero for any given value of a normal distribution?
114315
The sequence 1/(n-1) is apparently unbounded yet convergent. What am I missing here?
32744
A clarification in a limit
17735
$X_n = \text{Bin}(n,\frac{\lambda}{n})$ for $\lambda > 0$. Show $M_{X_n}(t)$ converges to the MGF of Poisson($\lambda)$ as $n\rightarrow \infty$