R/loglog_link_private.R

Defines functions loglog_link_private

loglog_link_private <-function( guessing, lapsing ) {

#
# THIS IS AN INTERNAL FUNCTION: USE LOGLOG_LINK INSTEAD
#
# Log-log link for use with GLM functions
#
# The guessing rate and lapsing rate are fixed, hence link is
# a function of only one variable.
#
# INPUT
#
# guessing - guessing rate
# lapsing - lapsing rate
#
# OUTPUT
#
# link - log-log link for use in all GLM functions

# LINK FUNCTIONS
# LOGLOG WITH LIMITS
# link
    loglogFL<-function( mu, g, l ) {
        mu <- pmax( pmin( l - .Machine$double.eps, mu) , g
              + .Machine$double.eps );
        return( -log( -log( ( mu - g ) / ( l - g ) ) ) );
    }

# derivative
    loglogFD<-function( eta, g, l ) {
        eta <- pmax( -log( -log( ( .Machine$double.eps ) / ( l - g ) ) ), eta );
        eta <- pmin( -log( -log( 1 - .Machine$double.eps / ( l - g ) ) ), eta );
        return( ( l - g ) * exp( -exp( -eta ) - eta  ) );
    }

# inverse link
    loglogFI<-function( eta, g, l ) {
        eta <- pmax( -log( -log( ( .Machine$double.eps ) / ( l - g ) ) ), eta );
        eta <- pmin( -log( -log( 1 - .Machine$double.eps / ( l - g ) ) ), eta );
        return( g + ( l - g ) * exp( -exp( -eta ) ) );
    }

# User-defined link
    linkuser <- function( guessing, lapsing ) {
        linkl <- "loglogFL";
        linkd <- "loglogFD";
        linki <- "loglogFI";
        linkfun <- function(mu)  eval( call( linkl, mu,  guessing, 1-lapsing ) );
        linkinv <- function(eta) eval( call( linki, eta, guessing, 1-lapsing ) );
        mu.eta  <- function(eta) eval( call( linkd, eta, guessing, 1-lapsing ) );
        link <- paste("loglog( ", "c(", guessing, ", ", 1-lapsing, ")", " )",
                sep = "" );
        structure(list(linkfun = linkfun, linkinv = linkinv,
                        mu.eta = mu.eta, name = link),
                  class = "link-glm" );
    }

# MAIN PROGRAM

    return( linkuser( guessing, lapsing ) );
}

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modelfree documentation built on May 31, 2023, 7:17 p.m.