fun.fix.mean

fun.simu.gld.lm.alt

fun.simu.bias.correct.alt

fun.model.lm.optim

fun.model.lm.optim.Lmoment

GLD.lm.simu

fun.gld.all.vary.emp

fun.gld.all.vary

fun.gld.slope.fixed.int.vary.emp

fun.gld.slope.fixed.int.vary

fun.gld.slope.vary.int.fixed.emp

fun.gld.slope.vary.int.fixed

<p>These functions are for maintainers only and it is not designed for the users 
of this package.</p>

internal

 Fitting functions for GLD regression 

Owing to the rich shapes of Generalised Lambda Distributions (GLDs), GLD standard/quantile/Accelerated Failure Time (AFT) regression is a competitive flexible model compared to standard/quantile/AFT regression. The proposed method has some major advantages: 1) it provides a reference line which is very robust to outliers with the attractive property of zero mean residuals and 2) it gives a unified, elegant quantile regression model from the reference line with smooth regression coefficients across different quantiles. For AFT model, it also eliminates the needs to try several different AFT models, owing to the flexible shapes of GLD. The goodness of fit of  the proposed model can be assessed via QQ plots and Kolmogorov-Smirnov tests and data driven smooth test, to ensure the appropriateness of the statistical inference under consideration. Statistical distributions of coefficients of the GLD regression line are obtained using simulation, and interval estimates are obtained directly from simulated data.  References include the following: Su (2015) "Flexible Parametric Quantile Regression Model" <doi:10.1007/s11222-014-9457-1>, Su (2021) "Flexible parametric accelerated failure time model"<doi:10.1080/10543406.2021.1934854>.

Steve Su

GLDreg

Fit GLD Regression/Quantile/AFT Model to Data

R Core Team

 Fitting functions for GLD regression  function

Author

This is a collection of functions designed to implement the fitting 
algorithms for GLD regression in this package. —  Fitting functions for GLD regression 

This is a collection of functions designed to implement the fitting 
algorithms for GLD regression in this package.

Fitting functions for GLD regression : This is a collection of functions designed to implement the fitting algorithms for GLD regression in this package.

Description

Arguments

Value

Author