A flexible bounded stochastic framework for uncertainty and reliability in physical systems
Tmader Alballa, Abdus Saboor, Muhammad Danish, Hamiden Abd El-Wahed Khalifa · 2026
Read A flexible bounded stochastic framework for uncertainty and reliability in physical systems by Tmader Alballa, Abdus Saboor, Muhammad Danish, Hamiden Abd El-Wahed Khalifa (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/pmc-13324146.txt.
Description
Tmader Alballa and co-authors build a flexible math framework for bounded random quantities, in this 2026 paper. Many real measures, such as proportions, efficiency scores, and normalized readings, live between fixed limits. Standard models often fit them poorly, so the team crafted a four-parameter family that can bend to many boundary shapes.
The family grows from a beta-style reshaping of a known baseline model. The authors prove its core traits: that its parts can be told apart, how it behaves at the edges, and the shapes its density and failure-rate curves can take. They derive formulas for averages and for several measures of information and spread. A worked example on bounded readings from an engineered system shows the model in action for reliability work.
Catalog record
| CREATOR | Tmader Alballa, Abdus Saboor, Muhammad Danish, Hamiden Abd El-Wahed Khalifa |
|---|---|
| YEAR | 2026 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 44 KB |
| VERSION | 1.0 |
| LICENSE | CC BY 4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |