3 ms·
This is an interesting finding. There are two takeaways from the paper. 1. The length of streaks L for an independent Bernoulli process with success probabilit
by wenc 2y ago
This is an interesting finding. There are two takeaways from the paper.
1. The length of streaks L for an independent Bernoulli process with success probability p (with q = 1-p) over n trials can easily be calculated.
L = log_{1/p} (n*q)
2. This estimate becomes more accurate as p decreases. Because the distribution of L is an extreme value distribution which gets more concentrated as p decreases.
This means for low values of p, L becomes more predictable and accurate.
I don’t know how this result will change my life, but at least now I know that I can predict streaks if I know p.
- jonathan_landy 2y agoFirst thing it makes we want to do is qualify success rates among individuals. Eg investors. Some are quite successful, but more so relative to what you’d expect give equal randomness?