Description Usage Arguments Details Value References
Asymmetric-Laplace-type working likelihood for linear quantile regression with responses subject to left censoring at zero
1 | li_powell(pars, y, x, tau, sig)
|
pars |
regression coefficient vector |
y |
the response vector |
x |
the design matrix with one in the first column corresponding to the intercept |
tau |
the quantile level |
sig |
scale parameter sigma |
The asymmetric-Laplace-type working likelihood is proportional to exponential of the negative Powell objective function for censored quantile regression
the working log (asymmetric Laplace-type) likelihood function (the part involving the regression coefficients)
Powell, J. L. (1986). Censored regression quantiles. Journal of Econometrics, 32, 143-155.
Yang, Y., Wang, H. and He, X. (2015). Posterior inference in Bayesian quantile regression with asymmetric Laplace likelihood. International Statistical Review, 2015. doi: 10.1111/insr.12114.
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