Proof #528: "The third standardized moment equals the skewness" (momstand-3rd) #NewProof
https://statproofbook.github.io/P/momstand-3rd
The third standardized moment equals the skewness

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 #527: "The second standardized moment equals one" (momstand-2nd) #NewProof
https://statproofbook.github.io/P/momstand-2nd
The second standardized moment equals one

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 #526: "The first standardized moment equals zero" (momstand-1st) #NewProof
https://statproofbook.github.io/P/momstand-1st
The first standardized moment equals zero

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 #525: "Marginal distributions of the multivariate t-distribution" (mvt-marg) #NewProof
https://statproofbook.github.io/P/mvt-marg
Marginal distributions of the multivariate t-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 #524: "Second-order expectations for the matrix-normal distribution" (matn-meanso) #NewProof
https://statproofbook.github.io/P/matn-meanso
Second-order expectations for the matrix-normal 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 #524: "Second-order expectations for the matrix-normal distribution" (matn-meanso) #NewProof
https://statproofbook.github.io/P/matn-meanso
Second-order expectations for the matrix-normal 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 #523: "Expectation of quadratic forms for the matrix-normal distribution" (matn-meanqf) #NewProof
https://statproofbook.github.io/P/matn-meanqf
Expectation of quadratic forms for the matrix-normal 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 #522: "Cross-covariance matrices of the matrix-normal distribution" (matn-ccm) #NewProof
https://statproofbook.github.io/P/matn-ccm
Cross-covariance matrices of the matrix-normal 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 #521: "Chi-squared distribution is a special case of gamma distribution" (chi2-gam2) #NewProof
https://statproofbook.github.io/P/chi2-gam2
Chi-squared distribution is a special case of 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 #520: "Mode of the beta distribution" (beta-mode) #NewProof
https://statproofbook.github.io/P/beta-mode
Mode of the beta 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