3 ms·
In a normal distribution, about 3 out of 1000 values will be over 3 sigma just by random chance. How many measurements do they make at CERN? They probably see
by leereeves 6y ago
In a normal distribution, about 3 out of 1000 values will be over 3 sigma just by random chance.
How many measurements do they make at CERN? They probably see random 3 sigma measurements fairly often.
- PartiallyTyped 6y agoThat's the reason it is expected to have 5 sigma, so that anomalies are extremely rare. The more experiments one makes, the closer one gets to the mean value and this happens exponentially fast. By that, I mean that using some probability theory and some algebra you can get a confidence bound on the accuracy you demand based on the number of experiments that you run.
- jampekka 6y agoI think this happens sublinearly w.r.t sample size.
- PartiallyTyped 6y agoI would like to point you towards Hoeffding's inequality. The probability of deviating more than epsilon from the mean after n experiments is exponential in n.
- leereeves 6y agoI think you're talking about different things. For a fixed range, the probability of being outside that range decays like 1/k^n. But for a fixed probability, the width of the range with that probability decays like 1/sqrt(n).