The Book of Statistical Proofs

– a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences; admin: @JoramSoch; funding: @OpenSciFellows.

[The Book of Statistical Proofs @StatProofBook]

The Book of Statistical Proofs is on:
- BlueSky: https://t.co/prXurj5Hf8
- Mastodon: https://t.co/0a65rSvEhM

[The Book of Statistical Proofs @StatProofBook]

How to submit a new theorem to The Book of Statistical Proofs
https://t.co/Y0Qk57mokY

[The Book of Statistical Proofs @StatProofBook]

This account does not post any longer on Twitter/X. Please find the #StatProofBook on BlueSky (https://t.co/exMjW0R7mN) and Mastodon (https://t.co/ptz5uJgilZ).

[The Book of Statistical Proofs @StatProofBook]

Proof #412: "Continuous uniform distribution maximizes differential entropy for fixed range" (cuni-maxent) #RandomProof
https://t.co/OnXovyigCe

[The Book of Statistical Proofs @StatProofBook]

Proof #301: "Variance of the Bernoulli distribution" (bern-var) #RandomProof
https://t.co/8CVOZaAluB

[The Book of Statistical Proofs @StatProofBook]

Proof #262: "Non-invariance of the differential entropy under change of variables" (dent-noninv) #RandomProof
https://t.co/l2arQXyNpC

[The Book of Statistical Proofs @StatProofBook]

Proof #373: "F-test for interaction in two-way analysis of variance" (anova2-fia) #RandomProof
https://t.co/noOhhylL5D

[The Book of Statistical Proofs @StatProofBook]

Proof #405: "Mean of the ex-Gaussian distribution" (exg-mean) #RandomProof
https://t.co/JtIBqeCfe2

[The Book of Statistical Proofs @StatProofBook]

Proof #428: "Maximum-a-posteriori estimation for multinomial observations" (mult-map) #RandomProof
https://t.co/hzJG3HEnte

[The Book of Statistical Proofs @StatProofBook]

Proof #164: "Gibbs' inequality" (gibbs-ineq) #RandomProof
https://t.co/HHuymwITl3

[The Book of Statistical Proofs @StatProofBook]

Proof #86: "Expression of the cumulative distribution function of the normal distribution without the error function" (norm-cdfwerf) #RandomProof
https://t.co/i4TJnJHC4y

[The Book of Statistical Proofs @StatProofBook]

Proof #103: "Expected value of a non-negative random variable" (mean-nnrvar) #RandomProof
https://t.co/s2kqJaiRwy

[The Book of Statistical Proofs @StatProofBook]

Proof #232: "Relationship between non-standardized t-distribution and t-distribution" (nst-t) #RandomProof
https://t.co/vN30wyKd5F

[The Book of Statistical Proofs @StatProofBook]

Proof #10: "Posterior distribution for Bayesian linear regression" (blr-post) #RandomProof
https://t.co/zItPlDRR9y

[The Book of Statistical Proofs @StatProofBook]

Proof #130: "Additivity of the variance for independent random variables" (var-add) #RandomProof
https://t.co/f6bj8HI8BK

[The Book of Statistical Proofs @StatProofBook]

Proof #266: "Equivalence of parameter estimates from the transformed general linear model" (tglm-para) #RandomProof
https://t.co/6pMHDirXMH

[The Book of Statistical Proofs @StatProofBook]

Proof #176: "Relationship between normal distribution and standard normal distribution" (norm-snorm2) #RandomProof
https://t.co/bnv3kYTKzS

[The Book of Statistical Proofs @StatProofBook]

Proof #182: "Maximum likelihood estimation for Dirichlet-distributed data" (dir-mle) #RandomProof
https://t.co/CmG27Bmiaa

[The Book of Statistical Proofs @StatProofBook]

Proof #21: "Relation of mutual information to joint and conditional entropy" (dmi-jce) #RandomProof
https://t.co/9H64RZ52mG

[The Book of Statistical Proofs @StatProofBook]

Proof #2: "Ordinary least squares for multiple linear regression" (mlr-ols) #RandomProof
https://t.co/uRkIv1EmwH