close
Warning:
Can't synchronize with repository "(default)" (/var/svn/tolp does not appear to be a Subversion repository.). Look in the Trac log for more information.
- Timestamp:
-
May 6, 2010, 5:16:39 PM (15 years ago)
- Author:
-
Víctor de Buen Remiro
- Comment:
-
--
Legend:
- Unmodified
- Added
- Removed
- Modified
-
v6
|
v7
|
|
1 | 1 | = TOL Package BysVecLinReg = |
| 2 | |
2 | 3 | |
3 | 4 | BysVecLinReg yields for Bayesian simulator of Vectorial Linear Regression with |
4 | 5 | arbitrary constraining inequations. |
5 | 6 | |
6 | | The method used in this package is based on [https://www.tol-project.org/export/HEAD/tolp/trunk/tol_pkg/BysVecLinReg/doc/bayes-linear-minka.pdf Bayesian linear regression Thomas Minka (2001)] using invariant scale prior over [[LatexEquation(A)]] and inverse prior over [[LatexEquation(V)]] |
| 7 | The method used to solve it in this package is based on |
| 8 | [https://www.tol-project.org/export/HEAD/tolp/trunk/tol_pkg/BysVecLinReg/doc/bayes-linear-minka.pdf |
| 9 | Bayesian linear regression Thomas Minka (2001)] using invariant scale prior over |
| 10 | [[LatexEquation(A)]] and inverse prior over [[LatexEquation(V)]] |
| 11 | |
| 12 | == Vectorial linear regression == |
7 | 13 | |
8 | 14 | Vectorial linear regression equations are [[BR]] |
… |
… |
|
36 | 42 | that will be used just to get more compact conditioninig expressions. |
37 | 43 | |
| 44 | == Arbitrary constraining inequations == |
| 45 | |
38 | 46 | We will extend the model scope with arbitrary non null meassured restrictions |
39 | 47 | over parameters inside [[LatexEquation(A)]] by means of adding a set of |
… |
… |
|
48 | 56 | the arbitrary constraining function. [[BR]] |
49 | 57 | |
| 58 | == Invariant-scale prior over coefficient matrix == |
| 59 | |
50 | 60 | Although Minka not explicitly stated in any place, under the invariant prior |
51 | 61 | follows that [[LatexEquation(X)]] must be full-range [[LatexEquation(m <= N)]] |
… |
… |
|
55 | 65 | forward to maximize the evidence of the data, which depends on the assumptions |
56 | 66 | the model. |
| 67 | |
| 68 | == Inverse Wishart prior over covariance matrix == |
| 69 | |
| 70 | ... |