full2meta function

Convert between parameter formats

These functions converts/coerces the parameters between the general Gaussian mixture (copula) model and the special GMCM. Most functions of the GMCM packages use the theta

format described in rtheta.

full2meta(theta)

meta2full(par, d)

Arguments

• theta: A list of parameters for the full model. Formatted as described in rtheta.
• par: A vector of length 4 where par[1] is the probability of coming from the first component, par[2] is the mean value, par[3] is the standard deviation, and par[4] is the correlation of the reproducible component.
• d: An integer giving the dimension of the mixture distribution.

Returns

full2meta returns a numeric vector of length 4 formatted as par.

meta2full returns a formatted 'theta' list of parameters as described by rtheta.

Details

If a theta is supplied which is not on the form of Li et. al. (2011) the output is coerced by simply picking the first element of the second component mean vector as mean, the square roof of the first diagonal entry of the second component covariance matrix as standard deviation, and first off-diagonal entry as correlation (properly scaled).

Examples

theta <- GMCM:::rtheta(m = 2, d = 2)
print(par <- full2meta(theta))
print(theta.special.case <- meta2full(par, d = 2))

References

Li, Q., Brown, J. B. J. B., Huang, H., & Bickel, P. J. (2011). Measuring reproducibility of high-throughput experiments. The Annals of Applied Statistics, 5(3), 1752-1779. doi:10.1214/11-AOAS466

Tewari, A., Giering, M., & Raghunathan, A. (2011). Parametric Characterization of Multimodal Distributions with Non-gaussian Modes. IEEE 11th International Conference on Data Mining Workshops, 2011, 286-292. doi:10.1109/ICDMW.2011.135

See Also

rtheta

Author(s)

Anders Ellern Bilgrau anders.ellern.bilgrau@gmail.com