Asymptotic approximations to posterior distributions via conditional moment equations
Biometrika
By: J.L. Yee, W.O. Johnson, and F.J. Samaniego
Links
- More information: Publisher Index Page (via DOI)
- Download citation as: RIS | Dublin Core
Abstract
We consider asymptotic approximations to joint posterior distributions in situations where the full conditional distributions referred to in Gibbs sampling are asymptotically normal. Our development focuses on problems where data augmentation facilitates simpler calculations, but results hold more generally. Asymptotic mean vectors are obtained as simultaneous solutions to fixed point equations that arise naturally in the development. Asymptotic covariance matrices flow naturally from the work of Arnold & Press (1989) and involve the conditional asymptotic covariance matrices and first derivative matrices for conditional mean functions. When the fixed point equations admit an analytical solution, explicit formulae are subsequently obtained for the covariance structure of the joint limiting distribution, which may shed light on the use of the given statistical model. Two illustrations are given. ?? 2002 Biometrika Trust.
Suggested Citation
Yee, J., Johnson, W., and Samaniego, F., 2002, Asymptotic approximations to posterior distributions via conditional moment equations: Biometrika, v. 89, no. 4, p. 755-767, https://doi.org/10.1093/biomet/89.4.755.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Asymptotic approximations to posterior distributions via conditional moment equations |
| Series title | Biometrika |
| DOI | 10.1093/biomet/89.4.755 |
| Volume | 89 |
| Issue | 4 |
| Year Published | 2002 |
| Language | English |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Biometrika |
| First page | 755 |
| Last page | 767 |