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updated index pages
The index pages were updated with the recently added proofs/definitions.
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‎I/Definition_by_Author.md‎

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### JoramSoch (101 definitions)
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### JoramSoch (102 definitions)
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- [Akaike information criterion](/D/aic)
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- [Bayesian information criterion](/D/bic)
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- [Standardized moment](/D/mom-stand)
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- [Statistical independence](/D/ind)
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- [Total sum of squares](/D/tss)
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- [Univariate and multivariate random variable](/D/rvar-uni)
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- [Variance](/D/var)
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- [Wishart distribution](/D/wish)
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‎I/Definition_by_Number.md‎

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| D103 | prob-exc | [Exceedance probability](/D/prob-exc) | JoramSoch | 2020-10-22 |
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| D104 | dir-data | [Dirichlet-distributed data](/D/dir-data) | JoramSoch | 2020-10-22 |
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| D105 | rvar-disc | [Discrete and continuous random variable](/D/rvar-disc) | JoramSoch | 2020-10-29 |
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| D106 | rvar-uni | [Univariate and multivariate random variable](/D/rvar-uni) | JoramSoch | 2020-11-06 |

‎I/Definition_by_Topic.md‎

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- [Total sum of squares](/D/tss)
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### U
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- [Univariate and multivariate random variable](/D/rvar-uni)
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### V
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- [Variance](/D/var)

‎I/Proof_by_Author.md‎

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### JoramSoch (176 proofs)
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### JoramSoch (179 proofs)
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- [(Non-)Multiplicativity of the expected value](/P/mean-mult)
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- [Additivity of the Kullback-Leibler divergence for independent distributions](/P/kl-add)
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- [Convexity of the Kullback-Leibler divergence](/P/kl-conv)
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- [Convexity of the cross-entropy](/P/entcross-conv)
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- [Covariance of independent random variables](/P/cov-ind)
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- [Cumulative distribution function of a strictly decreasing function of a random variable](/P/cdf-sdfct)
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- [Cumulative distribution function of a strictly increasing function of a random variable](/P/cdf-sifct)
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- [Cumulative distribution function of the continuous uniform distribution](/P/cuni-cdf)
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- [Cumulative distribution function of the discrete uniform distribution](/P/duni-cdf)
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- [Differential entropy of the multivariate normal distribution](/P/mvn-dent)
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- [Differential entropy of the normal distribution](/P/norm-dent)
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- [Equivalence of matrix-normal distribution and multivariate normal distribution](/P/matn-mvn)
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- [Exceedance probabilities for the the Dirichlet distribution](/P/dir-ep)
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- [Exceedance probabilities for the Dirichlet distribution](/P/dir-ep)
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- [Expectation of a quadratic form](/P/mean-qf)
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- [Expected value of a non-negative random variable](/P/mean-nnrvar)
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- [Expected value of x times ln(x) for a gamma distribution](/P/gam-xlogx)
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- [Posterior model probability in terms of log Bayes factor](/P/pmp-lbf)
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- [Posterior probability of the alternative hypothesis for Bayesian linear regression](/P/blr-pp)
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- [Probability and log-odds in logistic regression](/P/logreg-pnlo)
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- [Probability density function of a strictly decreasing function of a continuous random variable](/P/pdf-sdfct)
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- [Probability density function of a strictly increasing function of a continuous random variable](/P/pdf-sifct)
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- [Probability density function of the Dirichlet distribution](/P/dir-pdf)
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- [Probability density function of the beta distribution](/P/beta-pdf)
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- [Probability density function of the multivariate normal distribution](/P/mvn-pdf)
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- [Probability density function of the normal distribution](/P/norm-pdf)
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- [Probability density function of the normal-gamma distribution](/P/ng-pdf)
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- [Probability mass function of a strictly decreasing function of a discrete random variable](/P/pmf-sdfct)
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- [Probability mass function of a strictly increasing function of a discrete random variable](/P/pmf-sifct)
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- [Probability mass function of the Bernoulli distribution](/P/bern-pmf)
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- [Probability mass function of the Poisson distribution](/P/poiss-pmf)

‎I/Proof_by_Number.md‎

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| P178 | gam-cdf | [Cumulative distribution function of the gamma distribution](/P/gam-cdf) | JoramSoch | 2020-10-15 |
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| P179 | gam-xlogx | [Expected value of x times ln(x) for a gamma distribution](/P/gam-xlogx) | JoramSoch | 2020-10-15 |
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| P180 | norm-snorm3 | [Relation between normal distribution and standard normal distribution](/P/norm-snorm3) | JoramSoch | 2020-10-22 |
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| P181 | dir-ep | [Exceedance probabilities for the the Dirichlet distribution](/P/dir-ep) | JoramSoch | 2020-10-22 |
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| P181 | dir-ep | [Exceedance probabilities for the Dirichlet distribution](/P/dir-ep) | JoramSoch | 2020-10-22 |
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| P182 | dir-mle | [Maximum likelihood estimation for Dirichlet-distributed data](/P/dir-mle) | JoramSoch | 2020-10-22 |
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| P183 | cdf-sifct | [Cumulative distribution function of a strictly increasing function of a random variable](/P/cdf-sifct) | JoramSoch | 2020-10-29 |
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| P184 | pmf-sifct | [Probability mass function of a strictly increasing function of a discrete random variable](/P/pmf-sifct) | JoramSoch | 2020-10-29 |
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| P185 | pdf-sifct | [Probability density function of a strictly increasing function of a continuous random variable](/P/pdf-sifct) | JoramSoch | 2020-10-29 |
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| P186 | cdf-sdfct | [Cumulative distribution function of a strictly decreasing function of a random variable](/P/cdf-sdfct) | JoramSoch | 2020-11-06 |
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| P187 | pmf-sdfct | [Probability mass function of a strictly decreasing function of a discrete random variable](/P/pmf-sdfct) | JoramSoch | 2020-11-06 |
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| P188 | pdf-sdfct | [Probability density function of a strictly decreasing function of a continuous random variable](/P/pdf-sdfct) | JoramSoch | 2020-11-06 |

‎I/Proof_by_Topic.md‎

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- [Convexity of the Kullback-Leibler divergence](/P/kl-conv)
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- [Convexity of the cross-entropy](/P/entcross-conv)
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- [Covariance of independent random variables](/P/cov-ind)
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- [Cumulative distribution function of a strictly decreasing function of a random variable](/P/cdf-sdfct)
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- [Cumulative distribution function of a strictly increasing function of a random variable](/P/cdf-sifct)
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- [Cumulative distribution function of the continuous uniform distribution](/P/cuni-cdf)
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- [Cumulative distribution function of the discrete uniform distribution](/P/duni-cdf)
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- [Encompassing Prior Method for computing Bayes Factors](/P/bf-ep)
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- [Equivalence of matrix-normal distribution and multivariate normal distribution](/P/matn-mvn)
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- [Exceedance probabilities for the the Dirichlet distribution](/P/dir-ep)
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- [Exceedance probabilities for the Dirichlet distribution](/P/dir-ep)
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- [Expectation of a quadratic form](/P/mean-qf)
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- [Expected value of a non-negative random variable](/P/mean-nnrvar)
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- [Expected value of x times ln(x) for a gamma distribution](/P/gam-xlogx)
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- [Posterior model probability in terms of log Bayes factor](/P/pmp-lbf)
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- [Posterior probability of the alternative hypothesis for Bayesian linear regression](/P/blr-pp)
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- [Probability and log-odds in logistic regression](/P/logreg-pnlo)
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- [Probability density function of a strictly decreasing function of a continuous random variable](/P/pdf-sdfct)
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- [Probability density function of a strictly increasing function of a continuous random variable](/P/pdf-sifct)
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- [Probability density function of the Dirichlet distribution](/P/dir-pdf)
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- [Probability density function of the Wald distribution](/P/wald-pdf)
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- [Probability density function of the multivariate normal distribution](/P/mvn-pdf)
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- [Probability density function of the normal distribution](/P/norm-pdf)
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- [Probability density function of the normal-gamma distribution](/P/ng-pdf)
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- [Probability mass function of a strictly decreasing function of a discrete random variable](/P/pmf-sdfct)
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- [Probability mass function of a strictly increasing function of a discrete random variable](/P/pmf-sifct)
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- [Probability mass function of the Bernoulli distribution](/P/bern-pmf)
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- [Probability mass function of the Poisson distribution](/P/poiss-pmf)

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