probability spaces
conditional probability
independence
definitions
discrete
continuous
conditional
functions
generation
proofs
discrete
continuous
joint distributions
independence
functions
generation
rejection sampling
operators
mean & variance
covariance
conditional
proofs
definitions
mean & autocovariance
independent indentically-distributed sequences
gaussians
poissons
random walks
proofs
types
law of large numbers
central limit theorem
monte carlo
time-homogeneous, discrete-time
recurrences
periodicity
convergence
markov-chain monte carlo
histograms
sample mean & variance
sample order
sample covariance
sample covariance matrix
IID (independent, identically-distributed) sampling
MSE (mean square error)
consistency
confidence intervals
model estimation (non-parametric)
model estimation (parametric)
proofs
parametric models
conjugate priors
estimators
framework
parametric testing
non-parametric (permutations) testing
multiple testing
linear models
least squares estimation
overfit
global warming
proofs
vector spaces
inner products & norms
orthogonality
projections
matrices
eigendecomposition
eigendecomposition - symmetric matrices
proofs