conivol: conivol: A package for the (bivariate) chi-bar-squared...

Description Details (Bivariate) Chi-bar-squared distribution Special classes of cones General polyhedral cones Estimating the weights of the bivariate chi-bar-squared distribution See also

Description

The conivol package provides functions for the chi-bar-squared distribution, the bivariate chi-bar-squared distribution, and the conic intrinsic volumes.

Details

conivol supports standard functions for the density/cdf/sampling of the (bivariate) chi-bar-squared distribution, calculations and known formulas for special classes of intrinsic volumes of cones, sampling functions for ellipsoidal cones and general polyhedral cones, as well as functions for estimating intrinsic volumes either from direct samples of the intrinsic volumes distribution (in the case of polyhedral cones) or from samples of the corresponding bivariate chi-bar-squared distribution. The package supports point estimates as well as Bayesian estimates via JAGS and Stan.

(Bivariate) Chi-bar-squared distribution

Special classes of cones

General polyhedral cones

Estimating the weights of the bivariate chi-bar-squared distribution

See also

manual

damelunx.github.io/conivol

sources

github.com/damelunx/conivol

vignette

Conic intrinsic volumes and (bivariate) chi-bar-squared distribution: introduces conic intrinsic volumes and (bivariate) chi-bar-squared distributions, as well as the computations involving polyhedral cones

vignette

Estimating conic intrinsic volumes from bivariate chi-bar-squared data: describes the details of the algorithm for finding the intrinsic volumes of closed convex cones from samples of the associated bivariate chi-bar-squared distribution

vignette

Bayesian estimates for conic intrinsic volumes: describes the Bayesian approach for reconstructing intrinsic volumes from sampling data, which can either be samples from the intrinsic volumes distribution (in the case of polyhedral cones), or from the bivariate chi-bar-squared distribution, and which can be with or without enforcing log-concavity of the intrinsic volumes


damelunx/conivol documentation built on May 5, 2019, 12:31 p.m.