Simulation and dataset-application code for the distribution "A Novel Gompertz-Type Distribution with Applications to Radiological Dose and Pharmacokinetic Data"
Abstract
Simulation and dataset-application code for the distribution “A Novel Gompertz-Type Distribution with Applications to Radiological Dose and Pharmacokinetic Data” are provided: ## ============================================================## MODEL in the figure (4-parameter)## CDF: F(x; alpha, beta, theta, b) =## { 1 - exp[ (2*beta/alpha) * (1 - exp(alpha*x^theta)) ] }^b , x>0#### PDF: f(x)= 2*b*theta*beta*x^(theta-1) *## exp[ alpha*x^theta + (2*beta/alpha)*(1-exp(alpha*x^theta)) ] *## { 1 - exp[ (2*beta/alpha)*(1-exp(alpha*x^theta)) ] }^(b-1)#### MLE + Bayes (RW–MH) + GoF (KS, AD) + PDF/CDF Fit + QQ + PP## + AIC/BIC/HQIC/CAIC + SE (from Hessian)## ============================================================ rm(list=ls())graphics.off() suppressWarnings(suppressMessages({ has_goftest
Fields of Study & Subjects
Statistical Distribution Estimation and Applications
Probability and Statistical Research
Bayesian Methods and Mixture Models
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 5 February 2026