The Book of Statistical Proofs @StatProofBook
– a centralized, open and collaboratively edited archive of statistical theorems for the computational sciences; admin: @JoramSoch; funding: @OpenSciFellows. statproofbook.github.io Berlin, Germany Joined November 2019-
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Proof #412: "Continuous uniform distribution maximizes differential entropy for fixed range" (cuni-maxent) #RandomProof statproofbook.github.io/P/cuni-maxent
Proof #301: "Variance of the Bernoulli distribution" (bern-var) #RandomProof statproofbook.github.io/P/bern-var
Proof #262: "Non-invariance of the differential entropy under change of variables" (dent-noninv) #RandomProof statproofbook.github.io/P/dent-noninv
Proof #373: "F-test for interaction in two-way analysis of variance" (anova2-fia) #RandomProof statproofbook.github.io/P/anova2-fia
Proof #405: "Mean of the ex-Gaussian distribution" (exg-mean) #RandomProof statproofbook.github.io/P/exg-mean
Proof #428: "Maximum-a-posteriori estimation for multinomial observations" (mult-map) #RandomProof statproofbook.github.io/P/mult-map
Proof #164: "Gibbs' inequality" (gibbs-ineq) #RandomProof statproofbook.github.io/P/gibbs-ineq
Proof #86: "Expression of the cumulative distribution function of the normal distribution without the error function" (norm-cdfwerf) #RandomProof statproofbook.github.io/P/norm-cdfwerf
Proof #103: "Expected value of a non-negative random variable" (mean-nnrvar) #RandomProof statproofbook.github.io/P/mean-nnrvar
Proof #232: "Relationship between non-standardized t-distribution and t-distribution" (nst-t) #RandomProof statproofbook.github.io/P/nst-t
Proof #10: "Posterior distribution for Bayesian linear regression" (blr-post) #RandomProof statproofbook.github.io/P/blr-post
Proof #130: "Additivity of the variance for independent random variables" (var-add) #RandomProof statproofbook.github.io/P/var-add
Proof #266: "Equivalence of parameter estimates from the transformed general linear model" (tglm-para) #RandomProof statproofbook.github.io/P/tglm-para
Proof #176: "Relationship between normal distribution and standard normal distribution" (norm-snorm2) #RandomProof statproofbook.github.io/P/norm-snorm2
Proof #182: "Maximum likelihood estimation for Dirichlet-distributed data" (dir-mle) #RandomProof statproofbook.github.io/P/dir-mle
Proof #21: "Relation of mutual information to joint and conditional entropy" (dmi-jce) #RandomProof statproofbook.github.io/P/dmi-jce
Proof #2: "Ordinary least squares for multiple linear regression" (mlr-ols) #RandomProof statproofbook.github.io/P/mlr-ols
Proof #325: "Cumulative distribution function of the log-normal distribution" (lognorm-cdf) #RandomProof statproofbook.github.io/P/lognorm-cdf
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