Galaxy: Velocities of distant galaxies

In mixAK: Multivariate Normal Mixture Models and Mixtures of Generalized Linear Mixed Models Including Model Based Clustering

Velocities of distant galaxies

Description

Velocities (in km/sec) of 82 distant galaxies, diverging from our own galaxy.

The dataset was first described by Roeder (1990) and subsequently analysed under different mixture models by several researchers including Escobar and West (1995) and Phillips and Smith (1996). Richardson and Green (1997) used a normal mixture estimated using reversible jump MCMC to estimate the distribution of the velocities.

REMARK: 78th observation is here 26.96 whereas it should be 26.69 (see galaxies). A value of 26.96 used in Richardson and Green (1997) is kept here.

Usage

data(Galaxy)

Format

A numeric vector with observed values.

Source

Originally from http://www.stats.bris.ac.uk/~peter/mixdata/

References

Escobar, M. D. and West, M. (1995). Bayesian density estimation and inference using mixtures. Journal of the American Statistical Association, 90, 577–588.

Phillips, D. B. and Smith, A. F. M. (1996). Bayesian model comparison via jump diffusions. In Practical Markov Chain Monte Carlo, eds: W. R. Gilks, S. Richardson, and D. J. Spiegelhalter, ch. 13, pp. 215-239. London: Chapman and Hall.

Richardson, S. and Green, P. J. (1997). On Bayesian analysis of mixtures with unknown number of components (with Discussion). Journal of the Royal Statistical Society, Series B, 59, 731–792.

Roeder, K. (1990). Density estimation with confidence sets exemplified by superclusters and voids in the galaxies. Journal of the American Statistical Association, 85, 617–624.

See Also

galaxies.

Examples

data(Galaxy)
summary(Galaxy)

mixAK documentation built on Sept. 25, 2023, 5:08 p.m.