5/9/2025

Density estimation: The process of modeling the probability distribution f(x) given the set of data points x

likelihood: the quantization of how likely are we to get the observed datapoints from the given parameterized distribution

Some distributions

Where is the probability of getting x = 1, bernoulli dist. is used for random variables that only have two states.

Binomial: The distribution of number of times X = 1 for m times exaclty in N observations

Multinomial TODO (generalization of the binomial)

Lagrangian Mlutlipliers write it more better

Questions

Sample mean vs true mean, remeber this is the qustion that I had from chapter 2, where the expected value of the variance was calcualated in weird way