Proof #428: "Maximum-a-posteriori estimation for multinomial observations" (mult-map) #RandomProof
https://statproofbook.github.io/P/mult-map
Maximum-a-posteriori estimation for multinomial observations

The Book of Statistical Proofs – a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences

The Book of Statistical Proofs
Proof #24: "Mean of the categorical distribution" (cat-mean) #RandomProof
https://statproofbook.github.io/P/cat-mean
Mean of the categorical distribution

The Book of Statistical Proofs – a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences

The Book of Statistical Proofs
Proof #309: "Corrected Akaike information criterion for multiple linear regression" (mlr-aicc) #RandomProof
https://statproofbook.github.io/P/mlr-aicc
Corrected Akaike information criterion for multiple linear regression

The Book of Statistical Proofs – a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences

The Book of Statistical Proofs
Proof #113: "Relation of discrete Kullback-Leibler divergence to Shannon entropy" (kl-ent) #RandomProof
https://statproofbook.github.io/P/kl-ent
Relation of discrete Kullback-Leibler divergence to Shannon entropy

The Book of Statistical Proofs – a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences

The Book of Statistical Proofs
Proof #112: "Relationship between gamma distribution and standard gamma distribution" (gam-sgam) #RandomProof
https://statproofbook.github.io/P/gam-sgam
Relationship between gamma distribution and standard gamma distribution

The Book of Statistical Proofs – a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences

The Book of Statistical Proofs
Proof #135: "Projection matrix and residual-forming matrix are idempotent" (mlr-idem) #RandomProof
https://statproofbook.github.io/P/mlr-idem
Projection matrix and residual-forming matrix are idempotent

The Book of Statistical Proofs – a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences

The Book of Statistical Proofs
Proof #261: "Addition of the differential entropy upon multiplication with invertible matrix" (dent-addvec) #RandomProof
https://statproofbook.github.io/P/dent-addvec
Addition of the differential entropy upon multiplication with invertible matrix

The Book of Statistical Proofs – a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences

The Book of Statistical Proofs
Proof #51: "Mode of the exponential distribution" (exp-mode) #RandomProof
https://statproofbook.github.io/P/exp-mode
Mode of the exponential distribution

The Book of Statistical Proofs – a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences

The Book of Statistical Proofs
Proof #257: "Probability mass function of a sum of independent discrete random variables" (pmf-sumind) #RandomProof
https://statproofbook.github.io/P/pmf-sumind
Probability mass function of a sum of independent discrete random variables

The Book of Statistical Proofs – a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences

The Book of Statistical Proofs
Proof #371: "Ordinary least squares for two-way analysis of variance" (anova2-ols) #RandomProof
https://statproofbook.github.io/P/anova2-ols
Ordinary least squares for two-way analysis of variance

The Book of Statistical Proofs – a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences

The Book of Statistical Proofs