# Loading distribution specifics into the environment
EGExpG <- function(x, a, b, p, lambda){
(a*b*lambda*(1-p)*exp(-(lambda*a*x))*(1-exp(-(lambda*a*x)))^(b-1))/(1-p*(1-(1-exp(-(lambda*a*x)))^b))^2
}
cdf_EGExpG <- function(par,x){
a = par[1]
b = par[2]
p = par[3]
lambda = par[4]
(1-exp(-lambda*a*x))^b/(1-p*(1-(1-exp(-lambda*a*x))^b))
}
pdf_EGExpG <- function(par,x){
a = par[1]
b = par[2]
p = par[3]
lambda = par[4]
(a*b*lambda*(1-p)*exp(-(lambda*a*x))*(1-exp(-(lambda*a*x)))^(b-1))/(1-p*(1-(1-exp(-(lambda*a*x)))^b) )^2
}
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