Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal Journal of Analytical Uncertainty
Adnan Amin
Beijing Technology and Business University
Computer Science & IT Engineering Mathematics

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

Found 1 Documents
Search

 1 
The Neutrosophic Weibull-Rayleigh Distribution: A Flexible Lifetime Model under Indeterminacy Adnan Amin; Mehran khan
Journal of Analytical Uncertainty Vol. 1 No. 2 (2026): JAU: June 2026
Publisher : Winaya Inspirasi Nusantara Foundation

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.63924/jau.v1i2.290

Abstract

The classical Weibull-Rayleigh distribution is widely used in survival, reliability, and environmental studies. However, in many real-world applications, the model parameters are not precisely known due to measurement errors, incomplete data, or ambiguous information. Classical statistics cannot adequately handle such indeterminacy. This paper introduces the neutrosophic Weibull-Rayleigh distribution by extending the classical Weibull-Rayleigh distribution. We derive the neutrosophic probability density function, cumulative distribution function, survival function, hazard function, moments, moment generating function, and Shannon entropy. A simulation study demonstrates that as indeterminacy increases, all summary statistics become intervals rather than point estimates, with band widths that quantify parameter uncertainty. The proposed distribution is recommended for modeling lifetime data in medical diagnosis (incomplete patient records), environmental monitoring (sensor failures), and reliability engineering (imprecise component specifications) where indeterminacy is inherent.
Co-Authors Mehran khan