updated special pages

The special pages were updated with the recently added proofs/definitions. Additionally, the special page "General Theorems" was introduced, but not yet linked to in the table of contents.

Author: JoramSoch

P/slr-proj.md

@@ -16,7 +16,7 @@ theorem: "Projection of data point to regression line"
 sources:
   - authors: "Penny, William"
     year: 2006
-    title: "Projects"
+    title: "Projections"
     in: "Mathematics for Brain Imaging"
     pages: "ch. 1.4.10, pp. 34-35, eqs. 1.87/1.88"
     url: "https://ueapsylabs.co.uk/sites/wpenny/mbi/mbi_course.pdf"

S/ChI.md

@@ -0,0 +1,12 @@
+---
+layout: page
+title: "Special: General Theorems"
+---
+
+
+**Proofs** and *Definitions* on [General Theorems](/I/ToC#General%20Theorems) in the StatProofBook, as of 2021-12-21.
+
+| Concept | Definition | Properties | Relationships | Other |
+|:------- |:---------- |:---------- |:------------- |:----- |
+| **Probability theory** |  |  |  |  |
+| Variance | *[var](/D/var)*<br>*[var-samp](/D/var-samp)* | **[var-nonneg](/P/var-nonneg)**<br>**[var-const](/P/var-const)**<br>**[var-inv](/P/var-inv)**<br>**[var-scal](/P/var-scal)**<br>**[var-sum](/P/var-sum)**<br>**[var-lincomb](/P/var-lincomb)**<br>**[var-add](/P/var-add)** | **[var-mean](/P/var-mean)** | **[var-tot](/P/var-tot)** |

S/ChII.md

@@ -4,7 +4,7 @@ title: "Special: Probability Distributions"
 ---
 
 
-**Proofs** and *Definitions* on [Probability Distributions](/I/ToC#Probability%20Distributions) in the StatProofBook, as of 2021-11-05.
+**Proofs** and *Definitions* on [Probability Distributions](/I/ToC#Probability%20Distributions) in the StatProofBook, as of 2021-12-21.
 
 | Distribution | Def | PDF | CDF | QF | MGF | Mean | Med | Mode | Var | Ent | KL | Marg | Cond | Other |
 |:------------ |:--- |:--- |:--- |:-- |:--- |:---- |:--- |:---- |:--- |:--- |:-- |:---- |:---- |:----- |
@@ -30,7 +30,7 @@ title: "Special: Probability Distributions"
 | Multivariate normal distribution | *[mvn](/D/mvn)* | **[mvn-pdf](/P/mvn-pdf)** |  |  |  |  |  |  |  | **[mvn-dent](/P/mvn-dent)** | **[mvn-kl](/P/mvn-kl)** | **[mvn-marg](/P/mvn-marg)** | **[mvn-cond](/P/mvn-cond)** | **[mvn-ltt](/P/mvn-ltt)**<br>**[mvn-ind](/P/mvn-ind)** |
 | Multivariate t-distribution | *[mvt](/D/mvt)* |  |  |  |  |  |  |  |  |  |  |  |  | **[mvt-f](/P/mvt-f)** |
 | Normal-gamma distribution | *[ng](/D/ng)* | **[ng-pdf](/P/ng-pdf)** |  |  |  | **[ng-mean](/P/ng-mean)** |  |  |  | **[ng-dent](/P/ng-dent)** | **[ng-kl](/P/ng-kl)** | **[ng-marg](/P/ng-marg)** | **[ng-cond](/P/ng-cond)** |  |
-| Dirichlet distribution | *[dir](/D/dir)* | **[dir-pdf](/P/dir-pdf)** |  |  |  |  |  |  |  |  |  |  |  | **[dir-ep](/P/dir-ep)** |
+| Dirichlet distribution | *[dir](/D/dir)* | **[dir-pdf](/P/dir-pdf)** |  |  |  |  |  |  |  |  | **[dir-kl](/P/dir-kl)** |  |  | **[dir-ep](/P/dir-ep)** |
 | **Matrix-variate<br>continuous<br>distributions** |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
-| Matrix-normal distribution | *[matn](/D/matn)* | **[matn-pdf](/P/matn-pdf)** |  |  |  |  |  |  |  |  |  |  |  | **[matn-mvn](/P/matn-mvn)**<br>**[matn-ltt](/P/matn-ltt)**<br>**[matn-trans](/P/matn-trans)** |
-| Wishart distribution | *[wish](/D/wish)* |  |  |  |  |  |  |  |  |  |  |  |  |  |
+| Matrix-normal distribution | *[matn](/D/matn)* | **[matn-pdf](/P/matn-pdf)** |  |  |  |  |  |  |  |  | **[matn-kl](/P/matn-kl)** |  |  | **[matn-mvn](/P/matn-mvn)**<br>**[matn-ltt](/P/matn-ltt)**<br>**[matn-trans](/P/matn-trans)** |
+| Wishart distribution | *[wish](/D/wish)* |  |  |  |  |  |  |  |  |  | **[wish-kl](/P/wish-kl)** |  |  |  |

S/ChIII.md

@@ -4,7 +4,7 @@ title: "Special: Statistical Models"
 ---
 
 
-**Proofs** and *Definitions* on [Statistical Models](/I/ToC#Statistical%20Models) in the StatProofBook, as of 2021-11-05.
+**Proofs** and *Definitions* on [Statistical Models](/I/ToC#Statistical%20Models) in the StatProofBook, as of 2021-12-21.
 
 | Model | Definition | Estimation | Maximum<br>likelihood<br>estimation | Conjugate<br>prior | Posterior<br>distribution | Log<br>model<br>evidence | Other |
 |:----- |:---------- |:---------- |:----------------------------------- |:------------------ |:------------------------- |:------------------------ |:----- |

S/ChIV.md

@@ -4,7 +4,7 @@ title: "Special: Model Selection Criteria"
 ---
 
 
-**Proofs** and *Definitions* on [Model Selection Criteria](/I/ToC#Model%20Selection) in the StatProofBook, as of 2021-11-05.
+**Proofs** and *Definitions* on [Model Selection Criteria](/I/ToC#Model%20Selection) in the StatProofBook, as of 2021-12-21.
 
 | Criterion | Definition | Derivation | Relationships | Other |
 |:--------- |:---------- |:---------- |:------------- |:----- |