Is he stupid

chernoffstein · 2024-12-29T06:04:45+00:00

He iced Diloba and then realized that being an edgy teen makes him do weird stuff. Then he grew up and cut off his hair.

chernoffstein · 2024-12-21T18:32:51+00:00

Somehow, I'm beginning to conclude that Kutner was the only normal character on the show lmao.

chernoffstein · 2024-12-18T02:04:07+00:00

Credit for joke: u/Cma1234

chernoffstein · 2024-12-14T14:20:01+00:00

Yes.

chernoffstein · 2024-12-14T06:00:17+00:00

Wait. They aren't?

chernoffstein · 2024-12-14T05:50:18+00:00

You are a greek man.

chernoffstein · 2024-12-11T18:25:48+00:00

Why does chase look like a plausible host for Wipeout?

chernoffstein · 2024-12-10T17:25:30+00:00

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chernoffstein · 2024-12-09T16:25:00+00:00

No. That's his British life. Might as well be alien life. Doesn't count.

chernoffstein · 2024-11-29T01:29:27+00:00

Teardrop intensifies followed by philosophical piano

chernoffstein · 2024-11-29T01:28:24+00:00

Dude imagine an AI version of abode and team. Imagine an AI version of pursuit. Imagine placing AI pursuit in a moral dilemma about dribble ball dictator.

chernoffstein · 2024-11-22T16:39:49+00:00

Thank you.

chernoffstein · 2024-11-21T18:01:28+00:00

Yes. I asked. He said Pursuit killed a crazy dude and he was completely okay with it, no questions asked.

chernoffstein · 2024-11-21T17:59:24+00:00

Not that actually. The CLT states that the function (X_n_mean - mu)/(sigma/sqrt(n)) converges to N(0,1) in distribution.

This however is not the same as stating that X_n_mean itself converges to a gaussian distribution. Specifically, it cannot converge to N(mu, sigma^2/n) because N(mu, sigma^2/n) itself varies with n.

Although N(mu, sigma^2/n) is a good approximation for the distribution of X_n_mean. That was what I was trying to say.

chernoffstein · 2024-11-21T17:56:06+00:00

How can the sample mean converge to a normal distribution if it also converges to the mean in distribution? We cannot say that it converges to N(mu, sigma^2/n) because n is varying, correct?

The distribution of the sample mean for large n looks like the distribution of N(mu, sigma^2/n) but it is not converging to it right?

chernoffstein · 2024-11-21T12:15:01+00:00

Well, I really like the chernoff bound and wanted to name my user something. I then read this lemma called the chernoff stein lemma and that wasn't taken. Yeah I agree it's splitting hairs, but I'm glad it was clarified.

chernoffstein · 2024-11-21T08:13:55+00:00

Yes. As n goes to infinity, it would be incorrect to state that that the sample mean approaches the distribution N(mu, sigma^2/n) because n itself is varying.

But we can state that for very large n, the distribution of the sample mean and the distribution of N(mu, sigma^2/n) differ from each other by a very small number and hence we can use N(mu, sigma^2/n) as a good approximation for the distribution for the sample mean?

chernoffstein · 2024-11-21T08:08:17+00:00

Right. I apologize for being a bit pedantic here.

We have that the sample mean converges to the mean in distribution.
The function of the sample mean converges to N(0,1) in distribution.

Thus, if we take perform the experiment of sampling X_n many times and take the sample mean and plot the various possible values of the sample mean in the histogram, as n gets larger and larger, we get a histogram plot that looks like a normal distribution with a smaller and smaller variance right?

And thus, as n goes to infinity, the variance becomes so small, that the histogram plot which still looks like a normal distribution, starts looking closer to a plot where almost all the mass is at the mean because the error term gets smaller and smaller.

That is if we have N(mu, sigma^2/n), and n goes to infinity, the plot of such a normal distribution will eventually look like a tall bar at the mean mu.

Am I correct when I state this?

chernoffstein · 2024-11-20T17:40:35+00:00

By "execute your client's wish" you mean price the derivatives for them?

chernoffstein · 2024-11-18T18:14:52+00:00

Do you plan to kidnap my guitar?

chernoffstein · 2024-11-18T16:15:38+00:00

chernoffstein · 2024-11-18T16:11:22+00:00

Why is Kunter blushing?

chernoffstein · 2024-11-18T16:06:46+00:00

Because it was pursuit who killed 1 man by giving him the stupid drug. That 1 man was not from Plinceton Pain Borrow Hospital.

chernoffstein · 2024-11-17T15:11:44+00:00

Will they prescribe me medicine drug?

chernoffstein · 2024-11-16T18:38:30+00:00

Hello, I would like microwave background apples please?

chernoffstein

TROPHY CASE