Laplace Transform–Based Nonparametric Test of Exponentiality against DMRL class with preservation under the Homogeneous Poisson Shock Model and applications in survival analysis and reliability
Eman. S. El-Atfy, Alaa M. Gadallah, Arwa M. Alsahangiti, Oluwafemi Samson Balogun, Farouq Mohammad A. Alam, Mahmoud E. Bakr · 2026
Read Laplace Transform–Based Nonparametric Test of Exponentiality against DMRL class with preservation under the Homogeneous Poisson Shock Model and applications in survival analysis and reliability by Eman. S. El-Atfy, Alaa M. Gadallah, Arwa M. Alsahangiti, Oluwafemi Samson Balogun, Farouq Mohammad A. Alam, Mahmoud E. Bakr (2026) in the Tower of Babel, a free online library of public-domain works preserved in clean, searchable text. No sign-up. The full text is served as a plain-text file at a predictable URL, where text is present: https://antarctic-labs.com/tower-of-babel/PMC13252854.txt.
Description
Eman El-Atfy and colleagues build a new statistical test for lifetime data in this 2026 paper. Engineers and doctors often assume a constant average remaining life, the exponential model, but many real processes wear out, so the remaining life shrinks with age instead.
Their test checks that constant-life assumption against the wearing-out family, using a Laplace transform trick paired with a classic averaging method that keeps the maths tidy and scale-free. They also show the test survives a model of repeated random shocks. Computer simulations found it more powerful than older tests across many wearing-out patterns, and real COVID-19 and clinical survival data showed it catching departures the older tests would frame well.
Catalog record
| CREATOR | Eman. S. El-Atfy, Alaa M. Gadallah, Arwa M. Alsahangiti, Oluwafemi Samson Balogun, Farouq Mohammad A. Alam, Mahmoud E. Bakr |
|---|---|
| YEAR | 2026 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 45584 |
| LICENSE | https://creativecommons.org/licenses/by/4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |