Online Program Home
My Program

Abstract Details

Activity Number: 654
Type: Contributed
Date/Time: Thursday, August 4, 2016 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section
Abstract #319725 View Presentation
Title: The Reflected-Shifted-Truncated Gamma Distribution with Application to Left-Skewed Survival Data
Author(s): Sophia Waymyers* and Hrishikesh Chakraborty and Sanku Dey
Companies: University of South Carolina and University of South Carolina and St. Anthony's College
Keywords: left-skewed data ; survival analysis ; gamma distribution

We propose a three-parameter distribution called the reflected shifted truncated gamma (RSTG) distribution that can be used to model left skewed data. We provide explicit expressions for the mean, variance, hazard function, survival function and quantile function. We estimate the model parameters by maximum likelihood methods based on complete, right censored and interval censored survival data. We assess the performance and verify the consistency of the maximum likelihood estimators of the RSTG by conducting a simulation study with varying sample sizes. Finally, we compare the RSTG distribution to the exponential, Generalized F, Generalized gamma, Gompertz, log-logistic, lognormal, Rayleigh, and Weibull distributions for modeling left skewed data in three data sets. We compare them using AIC, AICC, HQIC, and CAIC criteria and conclude that the RSTG distribution is superior to other distributions in modeling left skewed complete and right censored survival data.

Authors who are presenting talks have a * after their name.

Back to the full JSM 2016 program

Copyright © American Statistical Association