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

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- [Sample covariance](/D/cov-samp)
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### JoramSoch (187 definitions)
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### JoramSoch (188 definitions)
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- [Akaike information criterion](/D/aic)
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- [Alternative hypothesis](/D/h1)
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- [One-tailed and two-tailed test](/D/test-tail)
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- [One-way analysis of variance](/D/anova1)
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- [p-value](/D/pval)
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- [Parameter](/D/para)
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- [Point and set hypothesis](/D/hyp-point)
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- [Poisson distribution](/D/poiss)
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- [Poisson distribution with exposure values](/D/poissexp)

I/DbN.md

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| D201 | post-pred | [Posterior predictive distribution](/D/post-pred) | aloctavodia | 2024-08-18 |
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| D202 | prior-pred | [Prior predictive distribution](/D/prior-pred) | aloctavodia | 2024-08-19 |
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| D203 | data | [Data](/D/data) | JoramSoch | 2024-09-20 |
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| D204 | para | [Parameter](/D/para) | JoramSoch | 2024-09-27 |

I/DbT.md

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### P
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- [p-value](/D/pval)
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- [Parameter](/D/para)
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- [Point and set hypothesis](/D/hyp-point)
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- [Poisson distribution](/D/poiss)
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- [Poisson distribution with exposure values](/D/poissexp)

I/PbA.md

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- [Posterior predictive distribution is a marginal distribution of the joint likelihood](/P/postpred-jl)
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### JoramSoch (435 proofs)
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### JoramSoch (436 proofs)
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- [Accuracy and complexity for Bayesian linear regression](/P/blr-anc)
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- [Accuracy and complexity for Bayesian linear regression with known covariance](/P/blrkc-anc)
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- [Gibbs' inequality](/P/gibbs-ineq)
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- [Independence of estimated parameters and residuals in multiple linear regression](/P/mlr-ind)
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- [Independence of products of multivariate normal random vector](/P/mvn-indprod)
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- [Independent random variables are uncorrelated](/P/corr-ind)
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- [Inflection points of the probability density function of the normal distribution](/P/norm-infl)
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- [Invariance of the covariance matrix under addition of constant vector](/P/covmat-inv)
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- [Invariance of the differential entropy under addition of a constant](/P/dent-inv)
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- [Variance of the exponential distribution](/P/exp-var)
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- [Variance of the log-normal distribution](/P/lognorm-var)
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### salbalkus (1 proof)
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### salbalkus (2 proofs)
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- [The expected value minimizes the mean squared error](/P/mean-mse)
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- [The median minimizes the mean absolute error](/P/med-mae)
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### StatProofBook (1 proof)
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I/PbN.md

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| P468 | mean-wlln | [Weak law of large numbers](/P/mean-wlln) | JoramSoch | 2024-09-13 |
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| P469 | mean-mse | [The expected value minimizes the mean squared error](/P/mean-mse) | salbalkus | 2024-09-13 |
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| P470 | ind-self | [Self-independence of random event](/P/ind-self) | JoramSoch | 2024-09-20 |
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| P471 | med-mae | [The median minimizes the mean absolute error](/P/med-mae) | salbalkus | 2024-09-23 |
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| P472 | corr-ind | [Independent random variables are uncorrelated](/P/corr-ind) | JoramSoch | 2024-09-27 |

I/PbT.md

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- [Independence of estimated parameters and residuals in multiple linear regression](/P/mlr-ind)
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- [Independence of products of multivariate normal random vector](/P/mvn-indprod)
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- [Independent random variables are uncorrelated](/P/corr-ind)
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- [Inflection points of the probability density function of the normal distribution](/P/norm-infl)
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- [Invariance of the covariance matrix under addition of constant vector](/P/covmat-inv)
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- [Invariance of the differential entropy under addition of a constant](/P/dent-inv)
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- [t-test for multiple linear regression using contrast-based inference](/P/mlr-t)
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- [The expected value minimizes the mean squared error](/P/mean-mse)
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- [The log probability scoring rule is a strictly proper scoring rule](/P/lpsr-spsr)
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- [The median minimizes the mean absolute error](/P/med-mae)
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- [The p-value follows a uniform distribution under the null hypothesis](/P/pval-h0)
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- [The regression line goes through the center of mass point](/P/slr-comp)
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- [The residuals and the covariate are uncorrelated in simple linear regression](/P/slr-rescorr)

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