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updated index pages
Several small mistakes/errors were corrected in several proofs/definitions.
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‎I/Definition_by_Author.md‎

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### JoramSoch (153 definitions)
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### JoramSoch (154 definitions)
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- [Akaike information criterion](/D/aic)
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- [Alternative hypothesis](/D/h1)
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- [Binomial observations](/D/bin-data)
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- [Categorical distribution](/D/cat)
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- [Central moment](/D/mom-cent)
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- [Characteristic function](/D/cf)
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- [Coefficient of determination](/D/rsq)
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- [Conditional differential entropy](/D/dent-cond)
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- [Conditional entropy](/D/ent-cond)

‎I/Definition_by_Number.md‎

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| D156 | exc | [Mutual exclusivity](/D/exc) | JoramSoch | 2021-07-23 |
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| D157 | suni | [Standard uniform distribution](/D/suni) | JoramSoch | 2021-07-23 |
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| D158 | prob-ax | [Kolmogorov axioms of probability](/D/prob-ax) | JoramSoch | 2021-07-30 |
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| D159 | cf | [Characteristic function](/D/cf) | JoramSoch | 2021-09-22 |

‎I/Definition_by_Topic.md‎

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- [Categorical distribution](/D/cat)
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- [Central moment](/D/mom-cent)
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- [Characteristic function](/D/cf)
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- [Chi-squared distribution](/D/chi2)
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- [Coefficient of determination](/D/rsq)
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- [Conditional differential entropy](/D/dent-cond)

‎I/Proof_by_Author.md‎

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### JoramSoch (248 proofs)
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### JoramSoch (250 proofs)
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- [(Non-)Multiplicativity of the expected value](/P/mean-mult)
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- [Accuracy and complexity for the univariate Gaussian](/P/ug-anc)
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- [Bayes' rule](/P/bayes-rule)
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- [Bayes' theorem](/P/bayes-th)
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- [Bayesian model averaging in terms of log model evidences](/P/bma-lme)
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- [Characteristic function of a function of a random variable](/P/cf-fct)
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- [Concavity of the Shannon entropy](/P/ent-conc)
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- [Conditional distributions of the multivariate normal distribution](/P/mvn-cond)
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- [Conditional distributions of the normal-gamma distribution](/P/ng-cond)
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- [Mode of the exponential distribution](/P/exp-mode)
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- [Mode of the normal distribution](/P/norm-mode)
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- [Moment in terms of moment-generating function](/P/mom-mgf)
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- [Moment-generating function of a function of a random variable](/P/mgf-fct)
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- [Moment-generating function of linear combination of independent random variables](/P/mgf-lincomb)
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- [Moment-generating function of the beta distribution](/P/beta-mgf)
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- [Moment-generating function of the normal distribution](/P/norm-mgf)
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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 a sum of independent discrete random variables](/P/pdf-sumind)
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- [Probability density function of an invertible function of a continuous random vector](/P/pmf-invfct)
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- [Probability density function of an invertible function of a continuous random vector](/P/pdf-invfct)
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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 chi-squared distribution](/P/chi2-pdf)

‎I/Proof_by_Number.md‎

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| P251 | norm-extr | [Extreme points of the probability density function of the normal distribution](/P/norm-extr) | JoramSoch | 2020-08-25 |
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| P252 | norm-infl | [Inflection points of the probability density function of the normal distribution](/P/norm-infl) | JoramSoch | 2020-08-26 |
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| P253 | pmf-invfct | [Probability mass function of an invertible function of a random vector](/P/pmf-invfct) | JoramSoch | 2021-08-30 |
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| P254 | pmf-invfct | [Probability density function of an invertible function of a continuous random vector](/P/pmf-invfct) | JoramSoch | 2021-08-30 |
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| P254 | pdf-invfct | [Probability density function of an invertible function of a continuous random vector](/P/pdf-invfct) | JoramSoch | 2021-08-30 |
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| P255 | pdf-linfct | [Probability density function of a linear function of a continuous random vector](/P/pdf-linfct) | JoramSoch | 2021-08-30 |
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| P256 | cdf-sumind | [Cumulative distribution function of a sum of independent random variables](/P/cdf-sumind) | JoramSoch | 2021-08-30 |
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| P257 | pmf-sumind | [Probability mass function of a sum of independent discrete random variables](/P/pmf-sumind) | JoramSoch | 2021-08-30 |
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| P258 | pdf-sumind | [Probability density function of a sum of independent discrete random variables](/P/pdf-sumind) | JoramSoch | 2021-08-30 |
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| P259 | cf-fct | [Characteristic function of a function of a random variable](/P/cf-fct) | JoramSoch | 2021-09-22 |
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| P260 | mgf-fct | [Moment-generating function of a function of a random variable](/P/mgf-fct) | JoramSoch | 2021-09-22 |

‎I/Proof_by_Topic.md‎

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### C
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- [Characteristic function of a function of a random variable](/P/cf-fct)
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- [Chi-squared distribution is a special case of gamma distribution](/P/chi2-gam)
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- [Concavity of the Shannon entropy](/P/ent-conc)
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- [Conditional distributions of the multivariate normal distribution](/P/mvn-cond)
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- [Mode of the exponential distribution](/P/exp-mode)
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- [Mode of the normal distribution](/P/norm-mode)
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- [Moment in terms of moment-generating function](/P/mom-mgf)
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- [Moment-generating function of a function of a random variable](/P/mgf-fct)
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- [Moment-generating function of linear combination of independent random variables](/P/mgf-lincomb)
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- [Moment-generating function of the Wald distribution](/P/wald-mgf)
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- [Moment-generating function of the beta distribution](/P/beta-mgf)
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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 a sum of independent discrete random variables](/P/pdf-sumind)
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- [Probability density function of an invertible function of a continuous random vector](/P/pmf-invfct)
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- [Probability density function of an invertible function of a continuous random vector](/P/pdf-invfct)
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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 beta distribution](/P/beta-pdf)

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