1 ) Probability theory and Bayesian prior
Benford's law: Also known as the first number law, it means that in a set of data obtained in real life, the probability of appearing with 1 as the head is about 30% of the total number; it is three times the intuitive phenomenon 1/9.
Bayesian formula: given some samples X of a system, calculate the parameters of the system -28: 13
Distribution-32: 56
Two-point distribution 0-1 distribution-33: 02
Binomial distribution-34: 46
Poisson distribution- 44: 45
In practical examples, when a random event occurs at a fixed average speed display rate λ (or density) randomly and independently, then the number or number of occurrences of this time in unit time (area or volume) is approximate Obey Poisson
Evenly distributed-47: 37
Exponential distribution-48:30
Exponential distribution without memory -50: 31
Normal distribution -53: 20
Summary-60: 50
Beta distribution-61: 45
Independence of events-95: 20
Variance-103: 22
Pearson correlation coefficient -117: 06
Chebyshev Inequality-137: 51
Law of large numbers-138: 28
Bernoulli's theorem-142: 56
Central Limit Theorem-143: 41
2 ) Matrix and linear algebra