Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal Mikailalsys Journal of Mathematics and Statistics
Telee, Lal Babu Sah
Unknown Affiliation
Engineering Mathematics Mechanical Engineering

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
Bayesian Analysis of Modified Inverse Lomax Distribution with Application Telee, Lal Babu Sah
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i2.5076

Abstract

This study investigates the use of the Modified Inverse Lomax (MILX) distribution to model survival data for patients suffering from Head and Neck cancer who were treated with radiotherapy. The dataset, consisting of 44 observations, is analyzed using maximum likelihood estimation (MLE) and Bayesian methods via Markov Chain Monte Carlo (MCMC) sampling. Key parameters of the MILX model are estimated, and posterior predictive checks are performed to assess model fit. Convergence diagnostics using Gelman-Rubin statistics and trace plots demonstrate reliable parameter estimation, with high effective sample sizes. The model's performance is evaluated using posterior predictive intervals (PPI) and Widely Applicable Information Criterion (WAIC). Residual analysis shows that while the model fits most of the data well, it struggles with larger observed values. The findings highlight the applicability of the MILX distribution in modeling heavy-tailed data with varying uncertainties, and its utility in predicting future observations.
Co-Authors